Linear regression and correlation
The ASTA team
The regression problem
We want to predict
- We will study the dataset
trees
, which is on the course website (and actually also already available in R).
trees <- read.delim("https://asta.math.aau.dk/datasets?file=trees.txt")
- In this experiment we have measurements of 3 variables for 31 randomly chosen trees:
Girth
numeric. Tree diameter in inches.
Height
numeric. Height in ft.
Volume
numeric. Volume of timber in cubic ft.
- We want to predict the tree volume, if we measure the tree height and/or the tree girth (diameter).
- This type of problem is called regression.
- Relevant terminology:
- We measure a quantitative response \(y\), e.g.
Volume
.
- In connection with the response value \(y\) we also measure one (later we will consider several) potential explanatory variable \(x\). Another name for the explanatory variable is predictor.
Initial graphics
- Any analysis starts with relevant graphics.
library(mosaic)
library(GGally)
ggscatmat(trees) # Scatter plot matrix from GGally package
## Warning: The dot-dot notation (`..scaled..`) was deprecated in ggplot2 3.4.0.
## ℹ Please use `after_stat(scaled)` instead.
## ℹ The deprecated feature was likely used in the GGally package.
## Please report the issue at <https://github.com/ggobi/ggally/issues>.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was generated.
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APAPgEAABAUbU8AgAYAQA9AOATAAAAYUzf78EBsPynxfFLAMArAMC8IQAAAAEFAARiATD1gp1bEG12zNg/ZADgHQBg3hAAAICAAgACMQCYcXwZxet46zIA4BkAYN4QAACAgAIAAvkDMLZt7NRf1XOX1rGfu3wGALwCAMwbAgAAEFAAQCA/AKovVM/67a6apV5c+vKh6uXWzwMAjwAA84YAAAAEFAAQyAeA6jPUc37vhYmrr3UhKrsNALgHAJg3BAAAIKAAgEA+AAxXT/jXVaeuLz5eBeE6sbsAAPwAgBYAsAUA2AEAgbwBeEA93d9pmqI9JHS92H0AAHYAQAsA2AIA7ACAQJ4AfFRJNNI68Ub1j4KHhO4DALADAFoAwBYAYAcABPICYPG2RP2rrVObLyeqnCRyHwCAHQDQAgC2AAA7ACCQFwBnEnX73Ta1uXkA0RZzBe4DALADAFoAwBYAYAcABPIA4I0yqvzUPrlZqdmdaL8V/PsAAOwAgBYAsAUA2AEAgdwBWLqDwxMAsvZREN93JLqKfx8AgB0A0AIAtgAAOwAgkDsANxDtvMxheuydwC+VUYt32fcBANgBAC0AYAsAsAMAArkCMH9jKnvLaYb2URDnEnW1Pz3gEgBgBwC0AIAtAMAOAAjkCsAQor6OMzQAluxEdB73PgAAOwCgBQBsAQB2AEAgNwCmt6TK6Y5z9A+D+7gFlb/PvA8AwA4AaAEAWwCAHQAQyA2AU4iGOY+IfxroxUS7OD1F4BAAYAcAtACALQDADgAI5ALANxXUZp7ziDgAf2xHdDPvPgAAOwCgBQBsAQB2AEAgFwBOI7rQZUTi+wBeJdp4Dus+AAA7AKAFAGwBAHYAQCBnAGZXUiuXPwBS3wjWl+hE1n0AAHYAQAsA2AIA7ACAQM4ADCca4jYiCcDsjaiM9WYAAMAOAGgBAFsAgB0AEMgRgMWbUsV0txGpr4S8jmhP22fFOQQA2AEALQBgCwCwAwACOQJwG1Fv1xEpAJZ0IXqUcR8AgB0A0AIAtgAAOwAgkBMAK7cj+q/rCMOXwj9FtPUS//sAAOwAgBYAsAUA2AEAgZwAeJlod/cRBgCq9yIa5X8fAIAdANACALYAADsAIJATAEcRjXUfYQBAnkTU4Wff+wAA7ACAFgCwBQDYAQCBHACYWUEd/nAfYQRAPproUt/7AADsAIAWALAFANgBAIEcALjC+3PeTABMLae2bm8YSAYA2AEALQBgCwCwAwAC2QFYIVHZNI8RJgDkAa6fGZQKALADAFoAwBYAYAcABLID8DLRvl4jzADEPjV0ls99AAB2AEALANgCAOwAgEB2AHp7PgVsBUAeTHSWz30AAHYAQAsA2AIA7EoSgL+0GtXf37+EWqPUmCf80oo2Xuo1ollpMl6d24oq53rfR63oSqknh3qxEX+tbxYcsFZRNnjNt2xf7n9Bg+iKm1NPwLUZLaCxLqPhGxTr8SBY83rmDWvM23dtekuJVa8oq/m3XiW0gcV+oVZb/jO8UwEQuHWNskbg1orSBABQOj1MdLbQgAuJzgtoXQqo5nyvQNhq8LyKMg4AlFQ6/Fn4C2AvokmeIyx/Afz1g/onwA+eI/AXADv8BSC2lFj4C8Ae/gIotfSH/jJ/DuAboirvD3izPAcgy2cRDfUcgecA2OE5AC08B2ALzwGwAwACWQG42vedXTYAvq+kVj94jQAA7ACAFgCwBQDYAQCBrABsT/S59wgbAPLp7l8fpgUA2AEALQBgCwCwAwACWQCYTNTDZ4QdgG8raKOoxwgAwA4AaAEAWwCAHQAQyALACKIbfUbYAZD7E13hMQIAsAMAWgDAFgBgBwAEMgNQvTWVzfQZ4QDA1DLqsNh9BABgBwC0AIAtAMAOAAhkBuBdop5+IxwAkI8husV9BABgBwC0AIAtAMAOAAhkBuAColv9RjgB8B5Rp6WuIwAAOwCgBQBsAQB2AEAgEwDVVVT2vd8IJwDkA4hGu44AAOwAgBYAsAUA2AEAgUwAfED0D98RjgC8QtRtpdsIAMAOAGgBAFsAgB0AEMgEwMVEN/uOcASgehei/7iNAADsAIAWALAFANgBAIFMAHQl+s53hCMA8iNEe7uNAADsAIAWALAFANgBAIGMAEwl2tV/hDMAyzoTvesyAgCwAwBaAMAWAGAHAAQyAjCS6Br/Ec4AyP8iOt5lBABgBwC0AIAtAMAOAAhkBODvRFP9R7gAsLgdlX/rPAIAsAMAWgDAFgBgBwAEMgDwfRltwxjhAoB8keunQgMAdgBACwDYAgDsAIBABgDuJDqfMcINgNktqe2PjnMAADsAoAUAbAEAdgBAIAMAhxBNZIxwA0AeQHS94wwAwA4AaAEAWwCAHQAQKAXAokrqsJwxwhWAT4i2dPw8CADADgBoAQBbAIAdABAoBcA4ogGcEa4AyAcSPeQ0HQCwAwBaAMAWAGAHAARKAXAy0VOcEe4AvEC0m9N0AMAOAGgBAFsAgB0AECgJwIqO1PIXzgh3AFZu7/wsAgBgBwC0AIAtAMAOAAiUBOC/RAezRrgDIN9FdKzDZADADgBoAQBbAIAdABAoCcClRP9mjfAA4Lf2jm8GAwDsAIAWALAFANgBAIGSAOxC9A1rhAcAsTeDnWOfCgDYAQAtAGALALADAAIlAJhdRl15I7wA+L4FbWx/IgEAsAMAWgDAFgBgBwAESgBwP9G5vBFeAMh9nB5IAgDsAIAWALAFANgBAIESABxHNIE3whOAd4m2tX0zGABgBwC0AIAtAMAOAAgUB2DpxtR2CW+EJwDynkTPW6cBAHYAQAsA2AIA7ACAQHEA3iA6ijnCG4BHHF5NCgDYAQAtAGALALADAALFARhBdDdzhDcAS7ekss8t0wAAOwCgBQBsAQB2AECgOADdiWYwR3gDIF9DNNgyCQCwAwBaAMAWAGAHAATSAZhNtAN3hA8A8yupjeVrAQAAOwCgBQBsAQB2YQRg8oDl8UtL7rvwpBFjreenDAF40PENXM75ABD7WoBR5ikAgB0A0AIAtgAAuzACMDISB+DLfpEThvSLnPSD5Qb6fk8XgAjRK9wRfgB8SFS1wjQFALADAFoAwBYAYBc+AGrHReIA/HlK5KV6Zf3DkSEbzDfR93uaAKxoT61+547wA0Dei+g50wQAwA4AaAEAWwCAXdgA+OiqkyIJAKZEror9aBoasfwJoO/3NAF4j+gQ9ghfAB4jOsg0AQCwAwBaAMAWAGAXNgCeHDRoUJ84AC9Exmg/R0XeN99I3+9pAnA10c3sEb4A2F4JCgDYAQAtAGALALALGwCxBsUB+Cgyoln9UTc4Mst8A32/pwlAL6LP2CN8AYh5cpbxOgBgBwC0AIAtAMAuzABsuDhy35K6RaMiNzTrM+a+rvVZjVaToqytEapWWVeztAV1WsMeoShNPrf4qZLaLjFcXy++UkqD2IiaumbBAeqprs5rvmUHcBfbKLri5tST2fqMFtBUn9HwepXFjBbQ7LlRDdWat29tekuJ1WAd7dlaZYPAssV+oWqFdl4z/6jSli3wHxn7JQUAYSoBgFIzKhLr/sRzwKN7ag3LZOGvE52Z2epZOo3o/qwuMP8153sFwlaD51WUcQAgTCUB+PDkyODLT4uc/k18RjYAOJ/oxQzXz9w0oh2asrrEvAcAshwACDgAEKYSAHwaOW26+uOT/v3m6DOmP6v17lot9axbu1aodcr6tdtR2WL+CPVk6HubPYjeSF3bIL5SSqPYiLX1/itlbr2i1HvNt+wA7mIbRVfcXJ2ibMhoAU0NGQ2vV9TjIZOaPTeqoXXm7bsuvaXEarSO9qxWqRNYttgv1DqhndfMP6q0ZQv8R8Z+SQFAmEoAMDTyqfbztcg15hvoz/2k9STwdKIeAiP8nwSW5bFER6Su4UlgdngSWAtPAtvCk8DsQgzAqkhEf/Ls90h/84MS+n5PC4B7iEYIjOAAsKSj8dvhAQA7AKAFAGwBAHYhBqCub2SNdn1R5AzzDfT9nhYAvYleFRjBAUC+hOi85BUAwA4AaAEAWwCAXYgBUEZE3tN+vhC5xXwDfb+nA8D/2lOrPwRGsACYWUHtfktcAQDsAIAWALAFANiFGYDPIwMmNykNE/v1nWe+gb7f0wHgE4fv8PKKBYB8LNH9icsAgB0A0AIAtgAAuzADoDzTJ9J/WL9Iv7csN9D3ezoA3ER0g8gIHgCvEu2auAwA2AEALQBgCwCwCzUAysI7LzhpxH2/W2+g7/d0ADiY6CORETwAqnckeid+GQCwAwBaAMAWAGAXRgB80/d7GgCsa00dVoqM4AEg30HUL34RALADAFoAwBYAYAcABPrzA6I+QiOYACzehFrM0S8CAHYAQAsA2AIA7ACAQH9eTXSv0AgmAPIQoqv0SwCAHQDQAgC2AAA7ACDQnz2JvvW/mSEuAJ+X0ZbLtEsAgB0A0AIAtgAAOwAg0C/lVCU2gguAfCDRU9oFAMAOAGgBAFsAgB0AEOg5okFiI9gAPE20n3YBALADAFoAwBYAYAcABBpK9JjYCDYAyzsRTY1dAADsAIAWALAFANgBAIF2oLJ5YiPYAMgjic6M/QQA7ACAFgCwBQDYAQB+s4m6Cw0QAWBeJbX9RQYAAgEALQBgCwCwAwD8xhKdLzRABAD5RKLbZAAgEADQAgC2AAA7AMDvFKKXhQYIAfBfoh2qAYBAAEALANgCAOwAAL9O1OJ3oQFCAMg9tK8aAADsAIAWALAFANgBAHZfEe0j+gsvAsD9RMcCAIEAgBYAsAUA2AEAdncRXRckAL+1o4qZAIAfANACALYAADsAwK430UdBAiCfR3QJAOAHALQAgC0AwA4AcFvZgVqtCxSAb8posyUAgB0A0AIAtgAAOwDAbTLRQcK/8EIAyIcRPQwA2AEALQBgCwCwAwDcbia6LmAAXiTqCQDYAQAtAGALALADANyOIHovYABWdiH6DABwAwBaAMAWAGAHAJgt35g2WhkwAPJNRIMAADcAoAUAbAEAdgCA2btEh/8ZNADR1tRaBgDMAIAWALAFANgBAGbXEt0cOADyqUR3AABmAEALANgCAOwAALMDiSYHD8AnRF1Wit0FAEg7AOATAAAAYUzf70LH6x+tqMPK4AGQexE9LzYCAKQdAPAJAACAMKbvd6Hj9XWi3nIOAHiU6BCxEQAg7QCATwAAAIQxfb8LHa+XEt2ZCwCWbkFl04RGAIC0AwA+AQAAEMb0/S50vO5F9GUuAJCvIRomNAAApB0A8AkAAIAwpu93keN1cQvasjonACxsSRsvEhkAANIOAPgEAABAGNP3u8jx+jJRfzknAKw5megOkQEAIO0AgE8AAACEMX2/ixyvFxI9mCMApupfDckOAKQdAPAJAACAMKbvd5HjdTei73IEgKLe1wSBAQAg7QCATwAAAIQxfb8LHK/RcqqScwXAaKKjBAYAgLQDAD4BAAAQxv7SalR/f//i9R+iQeqPNUoNc0CiZqVJcEStsqIjlc/kD1BPDvWC97G+WXDAWkXZ4DXfsn25m7VBdMXNqSfg2owW0FiX0fANivDxYK55PfOGNebtuza9pcSqV5TV/FuvEtrAAr9Qf8WO27X+N0qmAiBw6xpljcCtFaUJACCvhhM9n7t7u5ro0tzdWwA153sFwlaD51WUcQCgpNLhF/gHSzeiBX/l6i+AVXMqaNMl7AH4CyDt8BeAT/gLAACEMf2hP/5DlnOJdoz9zM1zAP+Lff38newBeA4g7fAcgE94DgAAhDF9v/OP10eJzo79zBUAb4u8EhQApB0A8AkAAIAwpu93/vF6GtEzsZ+5AkDuQTSeOwAApB0A8AkAAIAwpu93/vFaReXR2M+cATCG6DDuAACQdgDAJwAAAMKYvt/Zx+t3RLtpF3IGwJLNqOxL5gAAkHYAwCcAAADCmL7f2cfrA0QXahdyBoB8GdFZzAEAIO0AgE8AAACEMX2/s4/XE4le0i7kDoC5ldTmR94AAJB2AMAnAAAAwpi+37nHa/UW1GKxdil3AMgDiG7kDQAAaQcAfAIAACCM6fude7x+TtRLv5RDAD4mkpaxBgCAtAMAPgEAABDG9P3OPV7vILpcv5RDAOR9iR5nDQAAaQcAfAIAACCM6fude7weR/SWfimXADxDtAdrAABIOwDgEwAAAGFM3+/M43VFO2q9VL+YSwBWbEP0DmcAAEg7AOATAAAAYUzf78zj9UOiQ+IXcwmAfDvRsZwBACDtAIBPJQzAlCsP323HXn1unwYAwpe+35nH641EN8Qv5hSAX9tT+deMAQAg7QCATyULwA83bCvpbXfDfAAQtvT9zjxeDyH6MH4xpwDIl/DeDAYA0g4A+FSqAMw4QJIOu3zshDFXqhdOtgqQs/NULgIAPi1tQ+1WxC/nFoC5ldR6of8AAJB2AMCnUgXgRGnnBxdql+bf0026DACELH2/847Xt4iOS1zOLQDyQKKr/AcAgLQDAD6VKAAvSVu/k7zyH2mbqQAgXOn7nXe8Xk50R+JyjgGYWkYdf/cdAADSDgD4VKIAnCUNN1w7V7oIAIQrfb/zjtdeRF8kLucYAPkIAz6uAYC0AwA+lSgAPaU3TH8PHAcAwpW+31nH6y8taKvkl3PlGoCJRFXL/QYAgLQDAD6VKADbSjMN16ZLuwOAcKXvd9bx+jzRgOSVXAMg9yR6xG8AAEg7AOBTiQKw43baj5uv034s7NIVAIQrfb+zjtdziMYmr+QcgGeJuvt9OTAASDsA4FOJAnCQ9GXsRzdJuzZNOgAAhCt9v7OO152IZiev5ByAld2IXvAZAADSDgD4VKIAXC09aQDgQWkAAAhX+n7nHK9zy2jH1LWcAyCPTX4UtWsAIO0AgE8lCsAXXfebnwRg5t7SIwAgXOn7nXO8Pkw0NHUt9wAsqyJ6w3sAAEg7AOBTiQIQvVs6c3YcgPePlPZeAADClb7fOcfrKUTPpa7lHgD5LqIDvQcAgLQDAD6VKgBz+kq9rni8qwrAeEnqMSkKAMKVvt85x2snqvg5dS0PACzZkmiS5wAAkHYAwKcSBeCWLvFPgotGX9i6z5QoAAhZ+n5nHK9fEvU0XM0DAEVW6sAAACAASURBVPK/iA71HAAA0g4A+FSiADxydrxo9KsvrKd/AFD86fudcbzeTnSZ4Wo+APj9b0TveQ0AAGkHAHwqUQB8ytl5KhcBAK+OJppouJoPAOSbfP4EAABpBwB8AgAAIIzp+93/eF22MbVdarieFwB+U/8EeNdjAABIOwDgU4kCcLux6MRbbwUA4Urf7/7H6ySiw43X8wKAfDPRQR4DAEDaAQCfShQAyVj0ZkkCAOFK3+/+x+uVRLcar+cHgN+3IHrTfQAASDsA4FOJAnCNseir6v8AQDE1ecBy/cIrkXhLzDfQ97v/8dqLaKrxen4AiD0V7fF2YACQdgDApxIFAM8BFHcjI3EAHswMgJ+NHwUdK08ALOlM9LzrAACQdgDAJwAAAIqu2nGRBAAjIz+u12o230Tf777H6zNEp5gm5AkA+UGi7iscbhtfKQCQZgDApxIF4AFjAKCo+uiqkyJJAM6KrHe8kb7ffY/XIdZP488XAMu7EY12GwAA0g4A+FSiAJifBAYAxdSTgwYN6hMHoK7PGc430ve77/G6LZXNN03IFwDyc0Sd3L4dGACkHQDwqUQBGK51wakHS3vedhcAKLoGxQH4PXKV8w30/e53vH5H1MM8JW8AyHsTXecyAACkHQDwqUQBSDZx76Nm2qdm/4yVx8IMwLeR214bMeCCu39JzJj7utZnNVpNirK2xqMHiS41T6lV1nkNcEhRmgRHrHdcqSlltNHPzgPU02CD4H3UNQuvlFLnNd+yA7iLbRRdcXPqyWx9Rgtoqs9oeL0ifDyYa/bcqIZqzdu3Nr2lxGqwjvZsrbJBYNl+v1DmaoV2XjP/qNKWLfAfGfsldQEg+qZ0JgAouhIAvB2JRE44MxLpNzE+Y3RPrWG8xZxA9FEwK5hGA4mG5Hsd2DX73wSJ1OB5FWWcGwDRbtsDgKIrAcATkVO/alDWPhXp+5M+QwiA+k2prfNzyPno1zZU/k2+V4IbAMhyACDgXAG47coZAKDYSgCwaIb+4PQ9kdv0GdOf1Xp3rZb6F2vtWvc+JDrKMmmdst5jgFPqyVBwxAaXlbqOqOcapxnrFKVR8D7qRVdKhbDea75lB3AX2yi64ubqFGVDRgtoashoeL0ifDyYa/bcqIbWmbfvuvSWEqvROtqzWqVOYNk+v1CW1gntvGb+UaUtW+A/MvZL6grAPQPxF0DRlQAg0ZzIUPMN9Od+fJ6zuozoNsuk/D0JLMu/b010n9MMPAmcdngS2KeSfRJ4fqKhkvp/CwFAUWUFYGXkBPODEvp+9zle9yCaZpmUTwBib0vrsNBhOgBIOwDgU4kC8NhOpncCSGMAQFEVB6D27Un6eX9e5BLzDfT97n28LiynKuu0vAIgH040wGEyAEg7AOBTiQKwp1TVLV4XSf2/RwBAURUHoPn0yHfa9Ycij5hvoO937+P1UaLB1mn5BeC7NkTj7ZMBQNoBAJ9KFIAu+8xOXDwH7wQuvhIPAb0cOX2Woqx/oc9pf5lvoO937+P1ZKJnrNPyC4A8imjrxbapAMC/Ffft02GjXUdaN97OlEyfMG/knpu16d7nJd5SAUAiffvevMa65+ef163Npj2ujmpXTiBjLxUwAHufkLx4IV4GWnwlAGh8OhI5bWifyGnfWW6g73dPAKo3pxa/WCfmGYDluzv8VQIA/IvuqZ90pM9Nk6tbWwB4vn382tFRzmIBQLzE9t36B/Oef7yjPn1z7RvtigcAnwI7ceWjMAOgKN/edNqAKx5fZb2Bvt89AfiEaF/bxDwDIH9WSWW2f50CAL9W7kV0+NjHTi2nrX42Tp9FdNx58WLX369UJ4x56oqt1B+c5QIAvdT2lUz/ZnqGqPWwh+89sYw6zFCvPnResj1po5kFDMDD1gBAuNL3uycA1xNdb5uYbwBia7X5fMs0AODX/UQXxn4+RHSucfqblu/7OSi+zxcdTDSWsVwAoJfYvk8TnWeY/NMW1El7Hd1rreh404D5HemeQn4OQLIGAMKVvt89AdiX6BPbxLwDsGJvokNXWlcKAHjXnbZepl04lNoaP1P1fiozXp1G1F+/NLeN11ewJQMAeont23CUaftem3wWTf13y7fGAcfRIQX9JLD+aaAXnnGoJJ2hXQQA4Urf714A/NyCtqi2Tc07APLMTW1/mQAAn9QT++X6pXFE4wwzLiLJeLsxRC/HL+5HrRkLBgBaye3bMMG0ffenNvF/q0SJbjAMeII2mVXQACSbtN+++DTQEKbvdy8A1FPFQPvU/AMQW7GK1ywrBQA8e4joDf3SAqLhhhm96WDj7a4jmh6/2Jcq7fzbAgBaye3bsNK0fbdLfZr6FtQ7Nf2nzbVvNyoGAKJTqkYAgPCl73cvAAYSPWWfWgAAyMOIOn5nXikA4NkIosTzJh3pcMOMXWnIW0d3qZT6/le7+s2ECcv1GdVdqTtjwQBAK7l9G5TNjNu3F3WKX1rRmnZKTT+Tdo/pWhQARA/aHQCEL32/ewBQvQW1+Mk+uRAAWLo30U7GF7MAAJ8GUMvEP+d3pV0MM9pS/GWfZcPMX7f2KNFVjAUDAK3k9m1Qdjdu3yFEs/RL7xJtmZz8VQVNiP0sDgAO3gYAhC99v3sAMJloH4fJhQCAPK8z0QFLjSsFADw7jtolLu5N26amz4u9cn3YmHvPak10unHA+NbU0fR6UZcAgFZy+zYoBxi37zNEfbQLS3oQbZyc3JsO0H4WBQDjO/cCAOFL3+8eAFzr9CLQAgFA/nQjouOXG1YKAHh2KP0tcfFA2jw1fRJR5LfYhW92SD5LoPbj2WW00Qec+wcAWsnt26Acaty+6gw6dNIvs57uqkq7SWLiB0Ta28IKGYDL4l166jbSxQAgfOn73QOAXkRTHCYXBgDyhEqiE5ICAACfjqH2iYu9aOvU9F+/mhc/vb2deufX8js7EO3wIev+AYBWcvs2KPsbt6/8feKjNg7cI/UQ0IF0mH6hgAEwvAPgaPv3wQCAok/f7+4ARCuok9OrQAoEAPmpCvUfr4lHgQCAT/2pMnFxV9rZOCf5YXC70Db6hXe7E7W6ZAnv/gGAVnL7xp4DMG3fpZdupp7+N71saVfaIT7pk+SbAwoYgAcSjXlzvsPjQjk7T+UiAODQI0RnOE0vFADkh1QBDvo5sVIAwLOLiBLfo7AZ/dM4JwlAPyqLPRhUfWU5lQ34nnv/AEAruX0blM3N21dt7hsfqf9S2ZiOil8fQh3j/3IpYAB8ytl5KhcBAIdOIPqP0/SCAUB+vCXRDtPiKwUAPBtDNEm/9JPlsyCSAJxCFDstDVc36rv8+wcAWsnt2/CnZfsmmkN0kX7p901pWHwiACiIAIC95e2p1W9OMwoHAHnCxkQbjdVXCgB4Ni35jP4LRE+mpg8d8O8EAHtq7wm+jag389EfLQCgldy+DW+btu/s11//Vb90I9Fb+qWxRJPjswFAQQQA7E2kxBNVlgoIAHlqFyI6djYA8K8r7aQ/o9OPKhelJh9NLePXPm1BZ6r/Om1PB610GO4aANBLbN+GU0zb9wOiu7QLK7qRtEKf9s/Us8QAoCACAPaGE93hOKOQAJB/PEYVoO3ViwGAX3cR3Rn7+WYZDYn9XPbbb7EHfJ4n2v+P2PXZu1G7H2T5AafP//MKAOgltu9H5u1b3Ym2nKv+XHEC0Rj9ln+0opMSowBAQQQA7O1INNNxRkEBIFfft4lKQPtLFwMA75b+ncqHfzD5hja05bzY9Vvib/w6nkgaOW7MeRsTPaBejVDFxZckcnobiDUAoJfYvm2pk/aZEInt+wxRx5FPX/MPouPjf1lNILonMQoAFEQAwNa35PZJMIUFgCzP6V8W+yCDA+/8ZIXQfZQYAPKs+AvSt/xYu5o4QS09Nf469Q6PxK7+3fiFVZLH4hIBgHiJ7dvpO23PJ7avfG2FPr1/4pM2LjR8AwMAKIgAgK1/E13ifKQUGgCyPPnYcu1XrM2e/S8add99j9933203XnLu4BP7qJ1yzvWPfOj4ZHapASAvuWWPdm13ujz+RY/JE1TDx4O2a7PRzudrfxfI7QCANe53Auvb97r/U8wAyJ/269aqqs+rydvtQu2S768BAAURALB1ENF/nY+UwgNAlr++qDN5VLHr+a/b/jwoOQBcSr4MNL0AgDnPb1iyBQAKIgBg7eeWtJnLIyqFCID8Z9PXNx3a0QuBLUbMMA8BAHoAwCcAAADCmL7fXY7Xxx2/C0arMAHQXgW04N1n77/5RrX7xo6bMPHjT777bvL7L4+9vHeV/nfASd8YhwAAPQDgEwAAAGFM3+8ux+uJRM+6HCkFDIBr3997UOxpgpbnL05NAwB6AMAnAAAAwpi+352P16WbUqtfXY6UYgRAbcYFbVUCOr+anAAA9ACATwAAAIQxfb87H6+vEh3pdqQUKQCyvHBYC6KyEYmPkAYAegDAJwAAAMKYvt+dj9ehRPe5HSlFC4Asf7an+kfA/vHXQQIAPQDgEwAAAGFM3++Ox2t1Zyr/we1IKWIA5OWXlxNt9612GQDoAQCfAAAACGP6fnc8Xj8m2sv1SClmAGT5lXZEm38auwQA9ACATwAAAIQxfb87Hq9XEN3geqQUNwDytCqiDrFP4wUAegDAJwAAAMKYvt8dj9fuRNNcj5QiB0D+Qf2v6zgVACQCAD4BAAAQxvT97nS8fkvUzf1IKXYA5OiuRFvOAADxAIBPAAAAhDF9vzsdr6OILnU/UooeAHlBN6IdfgQAegDAJwAAAMKYvt+djtdeRB+6HynFD4A8uzPRAasAgBYA8AkAAIAw9pdWo/r7+5e5BeXU+c+/XFuj1LjPdKxZaRIcUWtbKZ/Uk0O9wM2nbUp0TrPYXfy1VlE2eM23bF/uf0GDyIrbU0/AtRktoLEuo+EbFOHjwVzzeuYNa8zbd216S4lVryir+bdeJbSBHX6hPFpt+c/wTgVA4NY1yhqBWytKEwBAsR4iuijf6xB071cQPRXsXTQHu/jSq8HzKso4AFBSrdJS/8GyepW5g4kmrXKvRlnrMdcp9R8XgiNqbSvl0xr1hCA04Fai1p+L3Uet+heA13zL9uX+FzTUi62GpdhfABktoLEuo+F1ivDxYK7Zc6MaWmvevuZ7bV4vcJeqHWv4t16trBNYtsMvlEdrhDae+heAwK1rlBqBW+MvgFJLf+jP/pBltAX9zevLFUPwHECsfkTbL/a/mSE8B+AUngMwh+cAijAAYOhBosFeR0pIAFi8I9EpQiMAgFMAwBwAKMIAgKHDiCZ4HSkhAUD+qjXRkyIDAIBTAMAcACjCAECqn1pSh2VeR0pYAKh9gKjDXIEBAMApAGAOABRhACDVWPcvg9QLDQCNhxAdLjAAADgFAMwBgCIMAKQ6kuhlzyMlNAA0zW5HNJY/AAA4BQDMAYAiDAAk+7mS2i/1PFLCA0Dsr53289gDAIBTAMAcACjCAEAy30eAwgSAfDhRH/YAAOAUADAHAIowAJDsCL9HgEIFwPcbEb3IHQAAnAIA5gBAEQYAEv3o+whQqACQbyOq+p05AAA4BQDMAYAiDAAkepDoVJ8jJVQArNjD86OvTQEApwCAOQBQhAGARIf4vAtMDhkA8kcVVPkVbwAAcAoAmAMARRgAiLegBXVc7nOkhAsAeQjRobwBAMApAGAOABRhACDeXURn+R0pIQPgp45E/2ENAABOAQBzAKAIAwDx9iGa6HekhAwA+V6i7Xye99YDAE4BAHMAoAgDAHrfl1GnlX5HStgAWNGDaBRnAABwCgCYAwBFGADQu4noAt8jJWwAyBOJNl3AGAAAnAIA5gBAEQYA9NR/C3/ke6SEDgC5N+OZDxkAOAcAzAGAIgwAaH1BtL3/kRI+AKZXUosv/QcAAKcAgDkAUIQBAK3LiK7yP1LCB4B8AdHR/gMAgFMAwBwAKMIAQKzqKqKv/Y+UEALwY3vGq58AgGMAwBwAKMIAQKx3iP7BOFJCCIB8C1HPar8BAMApAGAOABRhACDWmUS3M46UMAKwVP3j5xm/AQDAKQBgDgAUYQBAbWkHasl5NWQYAZAfItrB7zMwAIBTAMAcACjCAIDaM0RHcY6UUAKwchei+30GAACnAIA5AFCEAQC144ie5BwpoQRAfolI+sN7AABwCgCYAwBFGACQ5WglbepzBtQLJwDyvkQ3ew8AAE4BAHMAoAgDALJ8B9Eg1pESUgAmEXVc5DkAADgFAMwBgCIMAMjyHkTvsI6UkAIQ+zZk77fBAQCnAIA5AFCEAQB5KtG2vq+E1worAJ+U0SZRrwEAwCkAYA4AFGEAQB5OdA3vSAkrAHIfohFeAwCAUwDAHAAowgDA8i2ofCbvSAktANMqqM0PHgMAgFMAwBwAKMIAwKLz/3YQ80gJLQDyQKJhHgMAgFMAwBwAKMLCCMDkAcvjlxY/cPaJ59w633oDfb8nj9dlc5hHSngB+K4lVc5yHwAAnAIA5gBAERZGAEZG4gB83i8SGdo/0udFyw30/S52vMYKLwCxT0M6w30AAHAKAJgDAEVY+ACoHReJA7Cqf+Tu/ymNb/bpM9t8E32/AwBDsyqp5XeuAwCAUwDAHAAowsIGwEdXnRRJAPBq5OrG2M9xkdvMN9L3OwAwdg7RQNcBAMApAGAOABRhYQPgyUGDBvWJA3BH5F3t54LIEPON9P0OAIzNa0MVX7kNAABOAQBzAKAICxsAsQbFAbh1yBzt58+RweYb6PsdAJgaTnSi2wAA4BQAMAcAirAwA5Doxcgt+oW5r2t9VqPVpChra4SqVdaJDahRlCbBEevFV0ppELyPumaHiYs3ovJvXVdKqfNaoGUHcNejUXTFzakns/UZLaCpPqPh9Yrw8WCu2XOjGqo1b9/a9JYSq8E62rO1ygaBZYv9QtUK7bxm/lGlLVvgPzL2SwoAwpQFgFknRvS/BJTRPbWG5WOlCr9riU7KzpKas7MYlKjB8yrKOAAQpkwAbHiub+SV+GUA4NX/2lHZ91lZEgDIcgAg4ABAmDIC8MWQyID3E1emP6v17lot9S/W2rVCrVPWiw1Yq54MBUdsEF8ppVHwPuqdV+o6ouOdB6xXlHqvBVp2AHc9GkVX3FydyntGC2hqyGh4vSJ8PJhr9tyohtaZt++69JYSq9E62rNapU5g2WK/UOuEdl4z/6jSli3wHxn7JQUAYSoFwOo7I5G7VtpuoD/3gyeBLf3Sgco+dJyDJ4GdwpPA5vAkcBEWagBWnhUZvsDhBvp+BwDWric6zHEGAHAKAJgDAEVYmAGoPT8yut7pBvp+BwDWft2MaJLTDADgFAAwBwCKsDADMDHx8k9r+n4HALZuJjrAaToAcAoAmAMARViYARgemd0Uz3wDfb8DAFt/bEn0msN0AOAUADAHAIqwEAPQ2DeS6FzzDfT9DgDs3Um0l8NkAOAUADAHAIqwEAOwPAIAnHMHYGkV0Qv2yQDAKQBgDgAUYWEEwDd9vwMAh0YT7brSNhUAOAUAzAGAIgwACFQCACzfnugJ21QA4BQAMAcAijAAIFAJACA/QbT9cutEAOAUADAHAIowACBQKQCwsgfR/daJAMApAGAOABRhAECgUgBAfplI+sMyDQA4BQDMAYAiDAAIVBIAyPsQ3WyZBACcAgDmAEARBgAEKg0AJhF1/Nk8CQA4BQDMAYAiDAAIVBoAyEcRXWqeAgCcAgDmAEARBgAEKhEAplZQmzmmKQDAKQBgDgAUYQBAoBIBQB5INMg0AQA4BQDMAYAiDAAIVCoAfN+KKqYaJwAApwCAOQBQhAEAgUoFAPkioiON1wGAUwDAHAAowgCAQCUDwM8diN4wXAcATgEAcwCgCAMAApUMAPJtRD0MnwkHAJwCAOYAQBEGAAQqHQCWbkc0JnUVADgFAMwBgCIMAAhUOgDIzxJt+WvyGgBwCgCYAwBFGAAQqIQAkPcnuix5BQA4BQDMAYAiDAAIVEoATC6nVjMSVwCAUwDAHAAowgCAQKUEgHwGUe/EZQDgFAAwBwCKMAAgUEkBMH9TolfjlwGAUwDAHAAowgCAQCUFgPwvom7L9IsAwCkAYA4AFGEAQKDSAmDZTskvBgAATgEAcwCgCAMAApUWAPIbRBvN0i4BAKcAgDkAUIQBAIFKDAC5X+J5YADgFAAwBwCKMAAgUKkBMHcTohdjFwCAUwDAHAAowgCAQKUGgHw7UdVvMgBwDgCYAwBFGAAQqOQAWLEn0fkyAHAOAJgDAEUYABCo5ACQP2lBFR8AAOcAgDkAUIQBAIFKD4DYV8N0XwoAHAMA5gBAEQYABCpBAP7oSnQFAHAMAJgDAEUYABCoBAGQ3y6nlh8DAKcAgDkAUIQBAIFKEQB5GNHOKwGAQwDAHAAowkoSgL+0GtXf37+EWqPUiA34q1lpEhxRK7pS6smhXvA+1jcL3Dj25WAXK8oGr9tYti/3v6BBdMXNqSfg2owW0FiX0fANivDxYK55PfOGNebtuza9pcSqV5TV/FuvEtrAYr9Qqy3/Gd6pAAjcukZZI3BrRWkCAAi59HkFlU8RGtEczIqUbg2eV1HGAYCSapWW+g+W1auEqlHWig1Ypf7jQnBErehKrVFPCIL3saFZ6OaXE1X9ucHrFpbty/0vaKgXWg9rsb8AMlpAY11Gw+sU4ePBXLPnRjW01rx9zffavF7gLlU71vBvvVpZJ7BssV+oNUIbT/0LQODWNUqNwK3xF0CppT/0h+cAmC3djag/ngOwhecAzOE5gCIMAAhUogDI09oSjfa6gWX7AgBeAIAdAAgoACBQqQIgjyVq/anHfMv2BQC8AAA7ABBQAECgkgVg9alEXRe5z7dsXwDACwCwAwABBQAEKl0A1nQj6l3tOt+yfQEALwDADgAEFAAQqHQBUGa3JbrBdb5l+wIAXgCAHQAIKAAgUAkDoDxFVDHebb5l+wIAXgCAHQAIKAAgUCkDsG4YUbuvXOZbti8A4AUA2AGAgAIAApU0AMv2J9r+R+f5lu0LAHgBAHYAIKAAgEAlDYAc7UJ04FLH+ZbtCwB4AQB2ACCgAIBApQ2A/PkmRKc4vhTIsn0BAC8AwA4ABBQAEKjEAZDHtyC61Gm+ZfsCAF4AgB0ACCgAIFCpAyDfT0R3OMy3bF8AwAsAsAMAAQUABCp5AOQricoftc+3bF8AwAsAsAMAAQUABAIA8plELZ6zzbdsXwDACwCwAwABBQAEAgDyir5Ela9Y51u2LwDgBQDYAYCAAgACAQBZXnokUasJlvmW7QsAeAEAdgAgoACAQABAbckhqgAvm+dbti8A4AUA2AGAgAIAAgGAWL8fTNTT/HYAy/YFALwAADsAEFAAQCAAoPXHITstNM+3bF8AwAsAsAMAAQUABAIAeksWWOZbti8A4AUA2AGAgAIAAgEAlyzbFwDwAgDsAEBAAQCBAIBLlu0LAHgBAHYAIKAAgEAAwCXL9gUAvAAAOwAQUABAIADgkmX7AgBeAIAdAAgoACAQAHDJsn0BAC8AwA4ABBQAEAgAuGTZvgCAFwBgBwACCgAIBABcsmxfAMALALADAAEFAAQCAC5Zti8A4AUA2AGAgAIAAgEAlyzbFwDwAgDsAEBAAQCBAIBLlu0LAHgBAHYAIKAAgEAAwCXL9gUAvAAAOwAQUABAIADgkmX7AgBeAIAdAAgoACAQAHDJsn0BAC8AwA4ABFRJArBGq66hYY1YNQ1rBUfUN9QLjqhtqBEbUNPQsEHwPtaJr1TDeq/5jtvXvw2iK25uXUNDbUYLqPP8j/JtfYPw8WCufh3zhrXm7Wsexl5KrA0NQseX0AYW+4WqEVq22C/SWqEdU99Qt0yknJ2nclFJAoAQQggAIIRQyQYAEEKoRAMACCFUogEAhBAq0QAAQgiVaAAAIYRKNACAEEIlGgBACKESDQAghFCJBgAQQqhEAwAIIVSiAQCEECrRAABCCJVoJQnAKq26hobVq4Ra01AjNmBVQ0O94Ii14ivVsEHwPtaJrlRNQ8M6r/mW7cv9L9gguuLmahsa1ma0gLr1GQ1f1yB8PJir99yohtaat2+teSm1LqOc2tDQsEbg5kIbWOwXarXQxqtvaBC49Rqx/8iG+j9Eytl5KheVJAD690DgC2HY4QthnMIXwpjDF8IUYQBAIADgkmX7AgBeAIAdAAgoACAQAHDJsn0BAC8AwA4ABBQAEAgAuGTZvgCAFwBgBwACCgAIBABcsmxfAMALALADAAEFAAQCAC5Zti8A4AUA2AGAgAIAAgEAlyzbFwDwAgDsAEBAAQCBAIBLlu0LAHgBAHYAIKAAgEAAQGvR0yOvemi+cb5l+wIAXgCAHQAIKAAgEABQq/7XpqRWef6S1HzL9gUAvAAAOwAQUABAIACgNpTiHbosOd+yfQEALwDADgAEFAAQCADI8nhKdktyvmX7AgBeAIAdAAgoACAQAJDlw1MAVFUn5lu2LwDgBQDYAYCAAgACAQBZbpsCgGYk5lu2bwgB+O6JS088cPfd/3ny9RN+T0wDAOYAQBEGAAQCAPKvhvM/vZeYb9m+IQNg+YQztzb8V7c+/qWV2nQAYA4AFGEAQCAAIK9saTgVTkvMt2zfUAHw7fDNyVq3p2KPfgEAcwCgCAMAAgEAWf5H6jTYLvkyIMv2DREAk44pj/2nlu9x3sPvz/npp1nv3Nl349iE/b8GANYAQBEGAAQCALJ8TwqAYcn5lu0bGgDePkA7+x/0wALDxD/GdlcntrkfAFgCAEUYABAIAMjy8n0T5/9tosn5lu0bEgA+Oyz2n9nh4hnWGSsf2kKdcfoaAGAKABRhAEAgAKD287H6+f8fM1PzLds3FAAsOKNC/a/c8tbfnGb+2Fedd3gNADAGAIowACAQANCadM7B+5/+/ErDfMv2DQEAK+5op57iO976h9sNbm9BtP9qAGAIABRhAECgbANQPX7oEcdcMtk0rQgAsGfZvsUPwOTd1dN/q0t+8Rj8Uhuig1dkn8PoSwAAIABJREFUdP8AgB0ACCgAIFCWAfi+l/5gyoBfDRMBALvAAPjjIvWf93Tsd96jJ26s3iYjAQAAOwAQUABAoOwCEN0m+bFqhodTAAC7oAB4b4fY51y86Dv83VZEF2Ry/wCAHQAIKAAgUHYBSH6sJtHY1FQAwC4YAJZdWkFUcb7jc7/m1o8vI3okg/sHAOwAQEABAIGyCsDSTVMA7JuaDADYBQLAV7FH/7u9Z59hb73yb6I2U9O/fwDADgAEFAAQKKsATDV+vExqMgBgFwQAY9oSlRu/68aj9Upzb6KdXV8o5BsAYAcAAgoACJRVACYZP1wmdcYBAOyyD8CvA9R90flN5vD1ivL7NkRD075/AMAOAAQUABAoqwB8ZTj/b5KaDADYZR2AL3dS98XxP3KHxz4K4oMWVPZ6uvcPANgBgIACAAJlFYCVW6YAOCo1GQCwyzYAz2xMVHknf7j2WUBXE3VhPGHsGABgBwACCgAIlN1XAV2bAmBCaioAYJddAFZeVqaeyz8WGK4BsGy39F8LCgDYAYCAAgACZReAJcmPVTM+igwA2GUVgF9jH3F0xE8iw/VPA53cglpMSe/+AQA7ABBQAECgLL8T+NfBsTec0sY3GT9WBwCwyyYAs3sQlV260uPG9uIfB30B0d7Vvjd2CgCwAwABBQAEyvqHwX1/34jLHv3ZNAkAsMsiAJ91Imr9hODwOAC/qmMfTev+AQA7ABBQAECg7AAQvbbnZlsceLfLa80BALvsAfDGpkRbfCA6PPGFMI8RdU7rzQAAgB0ACCgAIFBWAJi0hf7A/87OnzUGANhlDYBnKol2mul9W4cSAFT3Iro+nfsHAOwAQEABAIGyAcA3mySe+t32V6cRAIBdtgAYU0G0j9DTv3rJr4R8r4w2ifrc2CkAwA4ABBQAECgbAPRJvfhzpNMIAMAuSwDcVUZ0dDoP4aS+E7hPei8FBQDsAEBAAQCBsgDAb61SAHRzGgEA2GUHgDvU8/9Jy9MZngLg6xbUarb4AgAAOwAQUCUJwDqtpsQFdhuUDYIjFKXZPGG64QMgKtY4jKhT1ovdhXoaahRcq4Zm/9uYUk8bDV7zHbevf02iK26uXqUvowU0qf9R96vn/7PWpjVcPeEljoeziM4VX0Cz50Y1Zt6+5iNEqRe4y0braJ/7FdnAYr9Q64WW3Sy0bLFfVPWXFACUVM1ayQv8xAdY7+Nr40fArQ3mPhgjsnwflu3bFNh6ZH384+r5/3zu+tqGJ+9/cSW1+k18Adwb1pu3b316S9FuLLbNSmXZAKCk0v/yy8tDQHMN5/8OTiPwEBC7LDwE9EQ50eD03sVlfAhIls9K51NB8RAQOzwEFFAAQKBsPAncPQXAiU4jAAC7zAGY2JJooNjbfw0ZAfhe/RPgB9EFAAB2ACCgAIBA2QDg8dRTAJ86jQAA7DIGYNpGRL3T/1p3IwDyIKIRogsAAOwAQEABAIGy8kawxFcBl93rOAIAsMsUgOlbEB28NP3xJgC+qaBNfhFcAABgBwACCgAIlJ2PghhTFTv/93jNeQQAYJchAD/uQLTbogwWYAJA7kt0g+ACAAA7ABBQAECgLH0Y3Mopz/zna7cRAIBdZgAsO5CoSvhhe2NmAD4m2lLwzwkAwA4ABBQAECjrnwbqEABglxkAZxFt6vxxTNzMAMgqKGPFFgAA2AGAgAIAAgEAlyzbtxgAuIeo4h3rl8KLZQHgJaJdxBYAANgBgIACAAIBAJcs27cIAHi3kuhf1i+FF8wCQPWORG8ILQAAsAMAAQUABAIALlm2b+EDMH8ropOtXwovmgUA+W6iY4UWAADYAYCAAgACAQCXLNu34AFYcSDR3//INgC/tacKoW8VAADsAEBAAQCBAIBLlu1b8ABcTtR+hpxtAOQLiS4SWQAAYAcAAgoACAQAXLJs30IH4PVyKntBzj4A35VTR5EvFgAA7ABAQAEAgQCAS5btW+AALNwy/rEN2QZAPlLslaAAgB0ACCgAIBAAcMmyfQsbgOqjiXoui13KOgAvEf1DYAEAgB0ACCgAIBAAcMmyfQsbgLuJNtHfAZZ1AFZ2IfqEvwAAwA4ABBQAEAgAuGTZvgUNwNdtiR7WL2YdAPl6orP4CwAA7ABAQAEAgQCAS5btW8gArNiLqG/8cvYBmN+SNvmVvQAAwA4ABBQAEMgBgJ/GPzn+J/cRAMCrfABwI9FWP8YvZx8AOUL0IHsBAIAdAAgoACCQDYCFJ7cgohYnL3QbAQC8ygMAX1YSvZy4EgAAE4j2Yi8AALADAAEFAASyAjCzc/zLXSS3N4ACAK9yD0DsAaCByWsBALCyimgqdwEAgB0ACCgAIJAFgOq9k1/v2Mvli8UBgFe5B+DfRJ1+Tl4LAAD5GqLzuQsAAOwAQEABAIEsALyd+n53mug8AgB4lXMAZm5E9ELqahAAfF9Om3G/FwYAsAMAAQUABLIAcLkBgEudRwAAr3IOwBFE/QxXgwBAPpToGeYCAAA7ABBQAEAgCwCnGgA4xXkEAPAq1wA8RdR+vuF6IAA8SXQ0cwEAgB0ACCgAIJAFgLMNALi8/QcAeJVjABZtRXS/cUIgACxpTy3m8RYAANgBgIACAAJZALjTAMAdziMAgFc5BuBcon1MT9YHAoA8hOgW3gIAADsAEFAAQCALAHNbJc//reY6jwAAXuUWgM9aUEvzKzSDAeADou68BQAAdgAgoACAQNb3AVyXBOA6lxEAwKucAlC9D9GF5knBACDvyP1EOADADgAEFAAQyApA9cVl2um/7GKXtwEAAM9yCsAjRFstNk8KCIDric5jLQAAsAMAAQUABLJ/FtBHp+3YfsfTPnYdAQC8yiUAi7cietwyLSAAZpXT35ZzFgAA2AGAgAIAAhXvp4FOGXXeZc8kv62wFAG4xPoMsBwYAPJBhs8b8goAsAMAAQUABCpWAGYfqj1S9bfH4tdLEIAZrajC9sB8UACMITqRswAAwA4ABBQAEKhIAZizdeK56jv1CSUIQG+iM2wTgwJgUWtqs9hxjjkAwA4ABBQAEKhIAeidfLFS5XRtQukB8A7RJvNtU4MCQD6B6CHGAgAAOwAQUABAoOIEYG556v1ql2hTSg6A6j2JbrJPDgyAl4gOZSwAALADAAEFAAQqTgDGGd6wvLc2peQAeJSoi8NHdAYGwLLNqILxcRAAgB0ACCgAIFBxAnC3AYCu2pRSA2BJFdGTDtMDA0AeSnSb/wIAADsAEFAAQKDiBOBxAwA9tSmlBsDN6n+401v1ggPgXaJ/+C8AALADAAEFAAQqTgC+NQAwTJtSYgD81J7oHacZwQFQ3YXoW98FAAB2ACCgAIBAxQmAvH/y/F+uvxS+xAAYQXSM44zgAJAvJRrpuwAAwA4ABBQAEKhIAfh80wQAF+kTSguA2a2p4gvHOQECMJWom+8CAAA7ABBQAECgIgVA/rirdvpveXX8gfDSAuAMotOc5wQIgNydaIrfAgAAOwAQUABAoGIFQF721OmHR274PnG1pAD4qgW1muU8K0gArie62G8BAIAdAAgoACCQBYDq8Wfsv/8Zr7h9FHSs/APw+wN9eh168eemaSUFQB/b1wAkCxKA78qoyuvIiAUA2AGAgAIAApkB+CH+5Op+Lt8GFivvAEyS9G8sONf4+cSlBMDkMtok6jIvSADkvYje9VkAAGAHAAIKAAhkAuC37omnVnf+1XVEvgGY3DaxkmcappYSAEcQXeM2L1AA/p140a17AIAdAAgoACCQCYBrUq+uv9J1RL4B6JVcxzLDP0dLCID/EnVc5DYzUADmlNOWK7wXAADYAYCAAgACmQDokgJga9cHe/MMwFeG94AZPg25hAA4iGiU68xAAZAPIHrTewEAgB0ACCgAIJARgJ8M51Za6DYizwAYPwVi99Tk0gHgTaItf3edGywA9xAN9l4AAGAHAAIKAAhkBGCmEQDXd/3nGYB7Deu4XWpy6QCwN9Ed7nODBWBhC+q4zHMBAIAdAAgoACCQEYDfy1Ln1jLXr3/KMwDPGgDYOzW5ZACYQCQ5fAx0omABkA8lesVzAQCAHQAIKAAgkOk5gH84PrpiKc8ARCtSK3lZanLJALAX0d0eswMGYDTRQM8FAAB2ACCgAIBAJgAMj68/4joi368COiW5jm2+T00tFQDGE1V5/AEQNAA/VVI7r7sHAPwAQEABAIFMAFQPSJxbT3J/x2e+AYjukHiUyvgdtaUCQE+i+7zmBwyAfBTRC17zAQA7ABBQoQNgyX0XnjRibPyUtP7JoQNGvtJovY2+3zN9J/CK6zaOnVo3utbj1d75BkCOnqB9I3DVi8aJJQKA3x8AgQPwiPqPA6/5AIAdAAiosAHwZb/ICUP6RU76IXZFvjgSOT0SuXaN5Ub6fs/8w+B+HnftyHE/e43IOwCyPOP+K0e9vtw0qUQA2Ivofs8FBA3Aola08RKP+QCAHQAIqJAB8OcpkZfqlfUPR4ZsUK9dFxkpK0svjDxguZW+37P4aaDRq3Zp3abHyJ9sM9IB4P+eOrRji86nTGavlP+ngaaaOkgqKyNquevbIitVlABMUP8A8H4ZZtAAyMcRPesxGwCwAwABFTIApkSuiv1oGhpR/wRYEDk19m//Ff36VJtvpe/37AHw3pb6A+2dPrLOSQOAtUfqC6u4nrtSAgDc3jL5rPA5AitVlAD08nkGIAcAPEHUz2M2AGAHAAIqZAC8EBmj/RwVeV9RxkXu065cG3nbfCt9v2cNgFntEyfVjj9YZqUBwInJU/SDzJXiA/Ck4c0LdCd/pYoRgNeIOns+A5ADAH5tQ23d34gMAPgBgIAKGQAfRUY0qz/qBkdmxR4BmqJNfNX6GJC+37MGwOmpk+rZllniALyfWlhHr8ePDSvFBmBFZ8P5n9ryV6oYAdiP6C6fBQQOgBwhGuc+FwCwAwABFTIANlwcuW9J3aJRkRtUB86KzNUmTolcqc/97Ruteau0GhVl9SqhapS1DlP/1z51Uv3bX+Z5itIkdherzjOcosdzBqxRlAbmst8jU5PYK6Weajd4zbfsBe5mbeCuuHPqCbjWdeZ/ibZa4bOAxrqM7l89mTodD8aeJerrPrfZc6MaWmvevuZ7ZS8llnqSXsO/9WplncCyxX6hajx2nj0VAIFb1yg1ArdWf0kBQFiqGRWJdX/sOeABkV+1adMjF+ozR/fUGpbdu1xqPKlW+9/euyMMC7snG6tn6AkzADdnefHJmoNasECHE43O9zqoQG1EbWsyX0yD51WUcQAgLH14cmTw5adFTv9GvdwvslKbNi8yVJ8ZDACLjCfVPzJd2kGGhf07G6tnaKwZgGuyvPhkBQDANPUPgHX5Xgm1gUQvZ74UABBwACAkfRo5bbr645P+/eYoyhnJvwAu1edOvk3rufVaTYqyXqwNSp3D1D9Tr6yhVmvM89SToeB9DDScocfxVkppYi57ghmAp9krVaeedLzmW/YCd7FN3BV3Tj0P1rvNO4boDv/7b8zo/hsVx+PB1HiiPq4zmz03qjGv7eu9ayypB/0GgZu7b2DnZQvc2vmXya1moWXXCS1b/SUFACFpaORT7edrEfWft5dEtLeDKVMit5hvpT/3k7Ungf+ZOqceYZkl/iSw4WGaivm8lWI/CbyolfH8X77cf0S8onsSeHIZdXT/os5EwT8JLP+xMbVy/UYyPAnMDk8CB1S4AFgVidRqF36P9G9WRkWmalfeiDxkvpm+37MGwMTkiyvLrV8DLg7A/3VLnqGHMFeK/zLQi4wA9OGvVNEB0JvoWv8F5AAAuT/Ro27zAAA7ABBQ4QKgrm9E/9iHRZEzYu8DSLwp4L/mm+n7PXtvBBsVF6DsduucNN4H8MPf4ifofT1eQW5aKT4ASw9Nnf+3W8lfqWID4PNy2vQX/wXkAoD/EB3jNg8AsAMAARUuAJQRkfe0ny/EHvWZGxkcezHQ6hP7W15Gp+/3LH4UxCu7xU6pe7xmm5HOR0H8cFLsSYWOI33exZRaKYF3Ai+/aXP99N/iFIHzf9EBoP6z+3LGAnIBwNJNqdLNIgDADgAEVMgA+DwyYHKT0jCxX9956rUrI3c3KhuujVhfD6jv9ywCIMszJ0yYJf/6+ReWf7Wn92Fwv77z0mSPjxi1rpTIZwHJK6a89Oi/bnpB5PRfdAB8W0EbRRkLyAUAsa9kGOsyCwCwAwABFTIAlGf6RPoP6xfp91bsyrLTI6dc1T9yXlCfBmruw8PVf7lXHvOpcVoBfBqoQ2H/NNDTiYZzFpATAF6yvzQgEQBgBwACKmwAKAvvvOCkEff9rl/539izThg6rtZ6G32/ZxmAMS30B1cqnzBMBABeBQTArEpqZf1QJsdyAsDS9tTyR+dZAIAdAAio0AHASd/v2QXgw+TX71ZOTU0FAF4FBMA53BdQ5QQA+TSi0c5zAAA7ABBQAEAgLwCOTL2+pm9qKgDwKhgAFrShljNZC8gNABOIDnWeAwDYAYCAAgACeQCwpDIFwEapJ3ABgFfBAHAJ0UDeAnIDwLKO1ML5KWkAwA4ABBQAEMgDgO+Mb7Gal5wMALwKBICfNqHyr3gLyA0A8hlu30wDANgBgIACAAJ5vQzUCMCC5GQA4FUgAFzLf49zjgB4jeggxxkAgB0ACCgAIJAHAEvbpM7/7VMvsgcAXgUBwG8dqewT5gJyBMCKzalintMMAMAOAAQUABDI60ngvikATk1NBQBeBQHAre4vu7eVIwDks4nucJoOANgBgIACAAJ5ATCtdeL8v7HhJSgAwKsAAFjaiei/3AXkCoC3ifZxmg4A2AGAgAIAAnm+EeyljfXzf7s3DBMBgFcBAHAf0X7sBeQKgJWdqHy2w3QAwA4ABBQAEMj7oyC+O30zos3PnmWcBgC8yj4AK7YlmsBeQK4AkM8jutVhMgBgBwACCgAI5A2A2o8/WyYIAzD96cdf4nyOmXGlAECyR4n24C8gZwC8T/QPh8kAgB0ACCgAIJAvALYEAfh8f+2zJE5nfJa9YaUAQKLq7kTP8BeQMwCqu1DZd/bJAIAdAAgoACBQ0ABMSryWdEeBPwIAQKrniHYS+KDrnAEQe3fy9fapAIAdAAgoACBQwAD81snp44T8VwoAJNqT6BGBBeQOgClEu9inAgB2ACCgAIBAAQNwf+qtBGUzBFYKAMSbQLQN/5vucwmAvCPR57aJAIAdAAgoACBQwAD0M3yaxAMCKwUA4u3n9qE7LuUQgKudvqQSALADAAEFAAQKGIB9DQBcLbBSAEBvElEn5hcp6+UQgK+JtrNNBADsAEBAAQCBAgbgMAMAtwisFADQO8z51fbu5RAA+e9EH1qnAQB2ACCgAIBAAQMwwgDAqwIrBQC0Piba7DehBeQSgFFE51unAQB2ACCgAIBAAQMwpTx5/pf4D2UAgHjHOb7U0qtcAjCrnLayvkIVALADAAEFAAQK+n0AZyfO/+XPiawUAIg1tYzaibyBTs4tALFnqN+wTAIA7ABAQAEAgYIGYPlg/fzfeqzQSgGAWCcQXSG4gJwCcA/R6ZZJAIAdAAgoACBQ4B8FIb83qEfXXpfO8r9hKgCg9XUFbSz2IUo5BiDaktpbHtgDAOxyCsBMawAgXOn7vRABSP/TQN8fOfic0T/yhoQRgIFEI0QXkFMA5KOILI/sAQB2OQVAsgYAwpW+38MEwKwDtceONrqtmjMkhADMaEmt54suILcAPG77smIAwA4ABBQAEKhgAZhblXj6mPUweAgBOIPoXOEF5BaA3zeiVotMUwAAu5wCMDWe1C1+AQCEK32/hwiAE5OvHy3nfCF6+AD4vpIq5wgvILcAyAOIxpgmAAB2eXkSWOruODln56lcBAAEKlQAlrVIvYPsTMaQ8AEwhOhs8QXkGIBXiA42TQAA7ABAQAEAgQoVgLcNbyHuzhgSOgDmqH8AfC++gBwDsHxzy1cDAwB2ACCgAIBAhQrA0wYAtmAMCR0Aw4jOSGMBOQZAPodolPE6AGAHAAIKAAhUqAC8ZQBgZ8aQsAEwtxW1nJnGAnINwIeWP9AAADsAEFAAQKBCBWBJRQqAQYwhYQNgGO8/21auAYh9LcynhqsAgB0ACCgAIFChAlDXO/VVYu8zhoQMgNgfAPxvUDOUcwCuI7rQcBUAsAMAAQUABCpYAL7fMgHAhf4DQgdAun8A5B6AmeW01YrUVQDALqcATI8n7RS/AADClb7fQwSA/M2e2um/8lrrJw47Fi4A5qT7B0DuAZD3J5qQugYA2OGdwAEFAAQqXADk6leH9zvl33N5Q8IFwNnpvQRIzgcADxL1T10DAOwAQEABAIF8AZi496Zt2u9neBg+dx8GJ1KoAIi9CTidlwDJ+QBgUWtqk/o4CADALqcAfGkNAIQrfb9nH4Aj4w/E90tOAQBeZQWA09N6E7BW7gGQ+xONTl4BAOzwfQABBQAE8gHguORrcU5NTAIAXmUDgG9bUKvZ/rd1LA8ATCDaN3kFALDLAwDzAEBY0/d7tgH4PPVi/LLEYxIAwKtsAHByOh8DGi8PAKzoRGXTE1cAALscAzDz6iO7Sz2OGTUHAIQxfb9nG4B+hvfjJp6VBABeZQGAzyuorfD3ACTKAwDyJYaP7AYA7HILwHM7SVLn2LO/u78OAEKYvt+zDcCOBgD+Hp8GALzKAgDHE12S9gLyAcA0oqrEa3UBALvcfh9AN+ns93+Qhr4xWNrtGwAQvvT9nm0AqgwA7BCfBgC8yhyAKWXUjvk9mA7lAwB5L6LX4xcBALucAnCONEL9f+n8aPQK6SIAEL70/Z5tAHYzAJB4og8AeJU5AP8kui79BeQFgPuITopfBADscgrAP7eeEQdgTtXhACB86fs92wBcbgDg3/FpAMCrjAH4kGjzX9NfQF4A+KUNtf5ZvwgA2OUUgK57R+MARPfqCgDCl77fsw3AH5XJ83/b5fFpAMCrTAFo3ovojgwWkBcAYq9bulu/FDoAGu/fp8NGu45cbJv15bAd2mxz9ATjpAIGoFe3+XEA5nXpCQDCl77fs/4+gCfLEq8CHZ+YBAC8yhSAl4m2WZrBAvIDwFtEu+uXwgaA3Es//qXPLXNGtdRn9Dd8VFUBA3CGdGccgBukswBA+NL3e/bfCTy+nXaYbzYpOQUAeJUhAH91JXo8kwXkB4DqbRPfChAyAOr2JTp87GOnltNWP5tm/Ito25vGjdqG6KrUxAIG4MOqrS+aEZXOfOPczl3eBwDhS9/v2QRgafz/Xjz18NNfM0xvrgMA7mUIwF1Ee1RnsoD8ACBfTzRMuxAyAB6Lfxr5Q5b35k2roF1jL9X6Y3cqn5ecWsAARJ/YThqvfSRcl0ft538AUPTp+z1rADx3SBtq22PX1tT2sBeN06ufOqg1bXLEeKcxrgEAbj93JHonkwXkC4A5FdRhSexCyADYlbroz30dSm1/N0zvTZX6e/UmEd2bnFrIAESnXPteVKrqde4nDud/AFD06fs9SwAsO9Hw6h86JfV9H0sTnw10ButD+uMBAG7DiY5f438zj/IEgHwU0aOxn+ECYBrRDfqeH0c0LjV9USVF4hdffumz5OSCBiDWfKeJACAM6fs9SwAMI1PDkzNOS067XOA+AACz7yqpxbziBOB5ogNiP8MFwENEk/U9v8D4ayA/R/Scw80LHgDXcnaeykUAQCAnAKZXmAFomfgcuKllyWmVP/DvAwAw6010gVKcACzfisq+lsMGwAiiFfE935EOT02/nugbufqriZYvbShgAG43Fp14660AIFzp+z07ANxMlm6Pz7jaMO0+/n0AAF5vEW1aXaQAxN4zOFwOGwADqGVzfM/vSrukpqt/CS+6p7P6W9BuoPFTOwoYAPO3gd2MbwQLW+u1mhIX2G1Q6mzTzrYCcF58ximGaRfz76Ne2SC6UkqT2Ij1Dc2CA9TTRoPXfMft61+T6IqnWvt3orsUpT7tBcRqbsxoeKPicDywWlhOf1ul3r/nRjXmtX29d40l9aAXOb5ENnCE2ifWbD/qmpp+ArUdGv892HJKarLTL5N7zUK/rHVCy1aUZvMZ/hpj0VfV/wGAUNWg1Zy4wK5RabRNG2wFYGh8xknGJwZE7kN4pZRmwSFNadxHk9d8y/atZy62WXTFUz1EtIP6m2vfHyI1e/5H+daU/v0fTfS8utm4919n3r51ppnspcRqFltnkWUfSVskjqtDaMvU9GPUX4AOY37465thRNuuTk52+mXyWBGhX1bRZVsAwHMAIU//yy87DwFdZQXg+viM4YZp/+LfBx4C4hTtQPRSrfXBENHy9hCQ/CzR/mF7COgY6pDY871o69T0w4jafa9duoHosuTkAn4ISGvmZMdvgwEAIUjf79kB4AMrAFPiM95MTSr7kn8fAICT+nfXEXIRA7C8U+ygCBcA/alSST4HsHNqeu/kBzYt60Q9k5MLFYCXh30TjX5y6i6S1Hn386cCgDCm7/csvQz0cPP5/7jkjP2T004QuA8AwOj9cqr8tpgBkK8kOidkAFxEVB3f85vRP1PTBxFNjV88htok3xNToADc0ln6Mnp3F0nado9tJalqNAAIYfp+zxIA0e7G83+P/2fvvAOkKNI+/O4CSzIgqOgCYkQ49TxEzJ6Hp2eiEQmKioiCAeQQEZWgImYxcIBZEeOJKKioiKKgGFARJMOKZBaW7dPPBCywu/31dE3o7qnurpqd3p2p+T1/7ExXV1XX1ttTz0yH6lXxFUsPi6a1XSOxDQggmJK/WvdWZLMAFtWmvderJYBxRF+wyK9yzAUxkmhJ9K3pgvhnITMFMLvF0WOWvd7i4KGR7/5zbjuoxRsQgHqwuKdrKoj1NzYyR/l6dSPnugZvtK1Y029PM63JrVITVkIAwdxHdNDG7BaAfj7RY2oJ4Gui+1nkXyV6LpE+hejN6Nv2tEc8OTMFMKrw5aKizoXPRhefLOwBAagHi3v6JoMrmTNlTon554sS14oPtWUyAAAgAElEQVQtCz9ZzJkHYtn0jzx/FNgFsHj6zODHneSeABbuQRSZdCmrBTCZ6Bi1BKAfHrv6vzMV2PbvLY1jU0F8XUDnxZMzUwDXFi4sKmrVJra4otXREIB6sLinfzroZHjTQb9xnPm7oNZZsznZdbsAJh5t5qvT8evARuWaAM4hNqJktQBKDyP6Ui0BjCd6KPL6dh5dFXndvH699eN3RPQs8Mp2VPvTeO7MFMCgwm+Kio5JjPp/ORECUA8W9xoSwPDoFBEFL3BLxAUQu4y0wWRuPlujckwAzxLtZR1UzmoB6PcSXa6WALYdR/k3fPTp7fWpqTXr8yiinpHX4qOIzrj3+Zv2IxqUyJ2ZAhhb+FxR0eDCt6KLkwqvgQDUg8W9ZgTw3/j54oLveCViAngqnm9P/5mEck0ARfsSPWa9y24BrKpPdZOfncgnOwSwe8NRbI9t+om1HBOAvrA1S69z25ZE7swUwJxDj3pl5dIL2zwRmQt06bhWR38FAagHi3vNCOC4xBVDl/FKxARwaCLfDQGNyi0BXEh0KnsMTHYLQL+C6E7BrFkiAGPH3X/bu8GRg4vYclwAevH97RsXNL94jj13ZgqgaHRh4V/OOL9F4RGnn3/qYYWFnYdAAOrB4l4jAliRmCOU9uOViArgG9ulpa0CGpVTAnieqME89jbLBfA5UeFmsazZIgCZD1SGCqDoqTMLnZPBQQDKweJeIwKYab9pYCOnRFQAb9qy1Q9oVC4JYGnj+H2l2S6AyJ2CzwXnigABVOdUEAunT341AQSgHizuNSKAz2wDez7v+19UAO/Y8u0Z0KgcEkBpB6IzYs8BznYBTCRqL5YTAsADYUICApAgDQJYXScxsB/MKxEVwGLboaK2AY3KIQHcS7T3wthCtgtgy0FEnwjlhAAggJCAACRIx0ngsxID+0BeidhJ4PaJfP6nCnNJAJ8WED0bX8p2AegPEF0slBECqFYBPOEGAlALFveaEcBndWPj+v4/8krEBPB+7fgPhQ0BjcoZAaw5hKhHYjHrBaA3EHxaKARQc08ESz4RXG3jVHUAAUiQlhvBXt6DjeuF/FuB4zeCPRk1xcHfBDUqVwRQqhEdsT6xnPUCqOhjTWoXDARQrQK4waL/FR0KC6+w3kIAasHiXlNTQSy4+kBzILt5FSe7bp8KYu7l+1NemxFBNwvljgDuIqr/uW05+wWwII+a8C4FcwMB1Mw5gPdPPmkBzgGoB4t7TQnApHgLL9XCMRvoJvfsctxG5YgA3qpFNN6ekP0C2PZPokcFMkIANXQSeHaLARCAerC416AAfMB00B58uw9Rb0eKAgJ4k+jI0uCMEEBNXQV0+rEQgHqwuEMAwmSAAH48nOhE55MVFBBAaRui14MzQgA1JYC/t4QA1IPFHQIQpuYFsOkkohYrnGkKCCDyGK3TgzNCADUkgDeatYcA1IPFHQIQpsYFUNKRaK85rkQVBFDclGhWYEYIoFoFcFOUQZe2LBwIAagHizsEIExNC6D0cqKCKe5UFQQQeVpK18CMEEBN3QdwznwIQD1Y3CEAYWpYAKV9iPKfTUpWQgCrGlLtBUEZIYBqFcCYGOPeXs45LlRt41R1AAFIAAF44OrfNAsgMv7njU5OV0IA+rVE1wZlhAAwF1BIQAASQAAeuPo3vQLY0oOI7uGsUEMAC2pTA+6kIDYggJoSwMM9IAD1YHGHAISpSQFsONf8/n8vb40aAtC7EQ0NyAgBVLMAlsfoU2j+WQkBqAWLOwQgTA0KYElbolr8u2UVEcBnedTEf74/CKB6BfD0kc654MZBAGrB4g4BCFNzAph+AFHdifx1ighA/2fiIWceQADVKoC2hS1aRTmo0PzzJASgFizuEIAwNSWA0nsLiPb9wGOtKgJ4l6iF/8OBIYBqFcBBJy6Kvb0GzwRWEBb3Kgngi6EXX3yb+86kZMIXwIrRV/cYNHmrVJlsEcBS87sxHe15kaQqAog8/Odx34wQQLUK4ISL4m/7HwYBqAeLexUEsPZi64mNeV1WB5QIXQCj6lkPDTj6S5lC2SGA0nGNzP/sUu/pkpURwMtER/oqHALAZaAhAQFIEBPA5lNiT+s6odi/RNgCGBJrSJPvJEplhQBmnWT+W3s97ZNDGQFEpoTzOM/BgAAggJCAACSICeCBxPN67/IvEbIA5tSKN6SDxDayQADzL8k3/6kzF3pm0BUSgP4U0bF+GSEACCAkIAAJYgJokxDAof4lQhbAdYmGUOB8AgkyXgBfX1rH/I8O8Pv6r6skgJKDid7wyQgBQAAhAQFIEBXAOtuwS0W+JUIWwPG2hiTPleNJZgtg6+v/jHz7rz9oXUBxdQSgP0Z0gk9GCAACCAkIQIKoAH6wC2Cub4mQBXCYrSEPiRfLZAHMHdw88t/U7bsksLhCAihuRvSOd0YIAAIICQhAgqgA1tsF4D+NS8gCaG9ryPPixTJWAN+OOMb6XxoPWi5QXCEBRE4r/d07IwQAAYQEBCBB7BzAUYlh9wj/EiELoH+iIXmLxItlpAC2fjSodfTSqvGbhIqrJICN+xNN98wIAUAAIQEBSBATwMOJcfd+/xIhC+CrOvGGnCOxjcwTwKbXrmjK/o9DBn8r2iqVBKCP8ruQCwKAAEICApAgJoCSDrFh9+/+t/CHfh/AHbGGNJW4CCjTBLBhQueG7L9oNehTiVYpJYD1TYhmeGWEACCAkIAAJIjfCbzhSusC/Pye6wNKhH4n8Og9rZGz/TyZQpkkgK1vXcxG/1on3yX83Z+hlAAiLj/LKyMEAAGEBAQggW0uoHn39LpiVPCAFf5cQD+NH3D1iPfktpE5Alg5ooU1+tc7f7z/9bQ81BLAusZEH3tkhAAggJCAACQIbzbQdfd3OOzIThO35tZsoMv71LUu+ew4IeiXFBe1BBB5PPzZHhkhAAggJCAACUITwEfN2THwk1fkkAC+624dRzt+zBrJ1sRQTABrvX8CQAAQQEhAABKEJYB5jWLnco/dnCsC+PGayBVMBZfPlmyKDcUEEPkJ4HEWAAKAAEICApAgLAF0SlxW+kBuCKB0nPl1lxoOXibZEAeqCSDyE+BDbkYIAAIICQhAgpAEsKYgIYB2OSGA+aeb/2qdvptkG+5ENQFELgTi3wsAAUAAIQEBSBCSAGbaJnSonwsCGL+H+Z92mCv0UHgflBPA+n2JuM+/hAAggJCAACQISQDv2gSQ94vyAlh/sfl/NnlGF3oovB/KCUC/y2NGIAgAAggJCECCkATwjU0A+yv/C2Be5GkK566IvIUAXAkbmhK9zckIAUAAIQEBSBCSAEqbJwTQXXUBTGtMVPAAew8BuFPu5z8XAAKAAEICApAgrKuAEo+YrDVbcQE8U0BUGLvaHQJwp2wqJJqUnBECgABCAgKQICwBlHSMCeA+xW8Euy+P6Pj4tZ8QQFLSI0R/K01KhQAggJBQTACXa3FWmYs7nuvTfeikcncuFvfMEYBecrt1K9ghryg+FcRQ85/smJjsHwJIStrckujFpFQIAAIICXUFsNYc6AdqWk9NG/a7KxeLe2x/XbdadE8Jby4gfcOUMeM/LtHVFsDN5vjfe2tiGQJITnucqHWJOxECgABCQjEB7IgyX7vbXBquDdWN4v7aGFcuFndrf11xQ3OifS75SmhPCVEAcRQWwK3m+D/QngABJKeVtCJ6wp0IAUAAIaGYAKLs6nfpz4axQrs08t2/pHOnUudqFvfI/jpzf3bsve5TInsKBOCBq/v5w8Aos58HO1IgAE7iRKKW7scMQQAQQEioKYBXtVnm3wnao9bSMG2aczWLu7m//tgkdva1Nn8SFicQgAeu7ucOA+PyiG50JkEAnMTSvxGNdqVBABBASCgpgHWdR0ZehmuzrcU33ceAWNzN/fXGxAX4pwnsKRCAB67+5w0Dr9cm6utKgwB4qZOJmm5wJkEAEEBIKCmA4Z3WRF56a0usxdnaEJb+40yLeb9blBvG4QkB5K/9PZA/jW3BmRwYRoVkie3GH3IF/jSM3ZLbKKuULLDdlIzfelf/c3LMaUjU/TdXYrlsw52UGcaOKlVQvqtKxXcZ0vuDk8oybvJpRKOcKX86+9e5VY9a+JiD9J8S2aU62PxASey7fxrbJeo2BSCR+0+5f9KogABU4gdttPXaXVtnvc7T+rMVY9tZ9I1lrKhtm4Th2+pvqKpUJqVsLCQ6e2cNNCUb+Zpon18cKbsNv0VQZSAAlbjpwo3Wa2dtq/W6TOvDVrgFsDvfJoCvqr+hqpIkgG3HER3zGy8r4HAh0ZOOBAggZCAAhZirPcjeXBH/BTCIJcx70WL6nxYVhnGQbRrOn/4MZLuxIziTA3MwlCxRZmyTK7DdMMolt7FLtlE7DGOX33pXBNyr/+hK1HRFcrFy2YY7MX9RlFWpgordVSq+y5DeH5xUenTqvLZTnQnbnf27XagWLuXu0r5sM3ZK1G1+oCT23e1SwatM3qt865b4JyMfUghAIe7Q5rE3N2pLrdfZ2ihnDnbux/we1SchgL8JnC3CSWAPXBFwnwq8g6hgOqcYTgILZsRJYJwEDgn1BLC1U68K9m6kNsd6nao97szC4m7ur4saxH8AvCGwp0AAHrhC4BoGptQiGssrBgEIZoQAIICQUE8A/9UmRN9N0MZZryO1D5xZWNwj++uk+tHxf6TIngIBeOAKgXMYWNSEqA+3GAQgmBECgABCQj0B9I8e+DGMJVqvMvPlty5dXQepWdyt/XWuVkCUfzLvKRzJQAAeuELgHAbuIWrvvrWVAQEIZoQAIICQUE4A/9M6xy83HKKNLjfKhmljXXlY3KP768Y5s38S3FPEBbBgytuLI68QgMkTLRbxi0EAghkhAAggJJQTwKfazfH3m3tql9zSVbvOfzZQcUQF8NrRkcNKx78DATCKPYpBAIIZIQAIICSUE8Bj8VMAJj+P731Rnwnb3HlY3EMTwIi86M3FD0MAvkAAghkhAAggJJQTgAgs7mEJ4M3E9BKfQAB+QACCGSEACCAkIAAJxARwcuLmggsgAD8gAMGMEAAEEBIQgARCAlhbKyGA+uUQgA8QgGBGCAACCAkIQAIhAXxtm1+ISiAAHyAAwYwQAAQQEhCABEICmG8XwP9BAD5AAIIZIQAIICQgAAmEBFDcMDH+N8U5AD8gAMGMEAAEEBIQgARiJ4G7JwRwLQTgBwQgmBECgABCAgKQQEwA8/eKjf/7rYQA/IAABDNCABBASEAAEgjeCPbevmz8bzYLN4L5AgEIZoQAIICQgAAkEJ0KYuVNRxbUPXrYT5gKwh8IQDAjBAABhAQEIAFmA/XA1b8QgBgQgDAQQEhAABJAAB64+hcCEAMCEAYCCAkIQAIIwANX/0IAYkAAwkAAIQEBSAABeODqXwhADAhAGAggJCAACSAAD1z9CwGIAQEIAwGEBAQgAQTggat/IQAxIABhIICQgAAkgAA8cPUvBCAGBCAMBBASEIAEEIAHrv6FAMSAAISBAEICApAAAvDA1b8QgBgQgDAQQEhAABJAAB64+hcCEAMCEAYCCAkIQAIIwANX/0IAYkAAwkAAIQEBSAABeODqXwhADAhAGAggJCAACSAAD1z9CwGIAQEIAwGEBAQgAQTggat/IQAxIABhIICQgAAkgAA8cPUvBCAGBCAMBBASEIAEEIAHrv6FAMSAAISBAEICApAAAvDA1b8QgBgQgDAQQEhAABJAAB64+hcCEAMCEAYCCAkIQAIIwANX/0IAYkAAwkAAIQEBSAABeODqXwhADAhAGAggJCAACSAAD1z9CwGIAQEIAwGEBAQgAQTggat/IQAxIABhIICQgAAkgAA8cPUvBCAGBCAMBBASEIAEEIAHrv6FAMSAAISBAEICApAAAvDA1b8QgBgQgDAQQEhAABJAAB64+hcCEAMCEAYCCAkIQAIPAXxyeasmR/acxVsFAfgBAQhmhAAggJCAACTgCqB0YB5FyB9UmrwSAvADAhDMCAFAACEBAUjAFcBQijEieSUE4AcEIJgRAoAAQgICkIAngCV14wKotyxpLQTgBwQgmBECgABCAgKQgCeAByjB6KS1EIAfEIBgRggAAggJCEACngB62wRwddJaCMAPCEAwIwQAAYQEBCABTwCX2ATQI2ktBOAHBCCYEQKAAEICApCAJ4BBNgEMTloLAfgBAQhmhAAggJCAACTgCeAdmwDeS1oLAfgBAQhmhAAggJCAACTgCaC0fXz8PzH5RgAIwA8IQDAjBAABhAQEIAH3PoAFB0bH/2Y/JK+EAPyAAAQzQgAQQEhAABLwp4JY3q22OfzXvnglZx0E4AcEIJgRAoAAQgICiLFh/uqgPcVrMrii1594/UfuGgjADwhAMCMEAAGEBATAePq4fKLDRxX77imYDdQDV/9CAGJAAMJAACEBAUTY0jl6HL8t/4t8FAjAA1f/QgBiQADCQAAhAQFEGBi/kqeD354CAXjg6l8IQAwIQBgIICQgAJMVBYlr+d/22VMgAA9c/QsBiAEBCAMBhAQEYDLedjPXNT57CgTggat/IQAxIABhIICQyEkBlFlUxt6UDbcJ4Lwyb3Yau3zW8jCMSskSu4ydcgXMj3SF5DbK5RtllPut5/ZvMBWyDXdiDjiy8XBS6ftPBVJefdv3619jt8QmKwyp/Uuq7krxyJfJfpjk6pb7EJkfUgggp9hlURl7s8shgF3e7DZ2+6zlYe5bkiXKjeA8DnbLb6NCdhvmUFfht97VvzsFq630rVSkVeVVqqCK2zcHU9n9wYl/p9pwC8BZi0wnVMq1WbZuidxyH6Yw64YAcg32yy/xi3WcTQB9fX4r4hCQB67+xSEgMXAISBgcAgoJCMBkWZ2EAN7y2VMgAA9c/QsBiAEBCAMBhAQEEKF/fPz/u9+eAgF44OpfCEAMCEAYCCAkIIAIm8+Pjv9HFfntKRCAB67+hQDEgACEgQBCAgKwKB33F3P4bzFik++eAgF44OpfCEAMCEAYCCAkIIAYP85dFrSnhCuAoskTPtgEAYgDAVhAAElAAMJAABKEKYAFHfPN3yANB2yFAESBACwggCQgAGEgAAlCFMBn+0TPQvztVwhAEAjAAgJIAgIQBgKQIDwBFB8cvw6pFwQgCARgAQEkAQEIAwFIEJ4AnkjciJC/WLZREECKQAABQAAQgIqwuGeSALrb7kUeK9soCCBFIIAAIAAIQEVY3DNJAKfaBHCrbKMggBSBAAKAACAAFWFxzyQBnGkTwJ2yjYIAUgQCCAACgABUhMU9kwTQzyaA/8o2CgJIEQggAAgAAlARFvdMEsBHefHxfz//B9NzGgUBpAgEEAAEAAGoCIt7JglA7xEXwEu4DFQQCMACAkgCAhAGApAgRAEUX8iG/9r3405gUSAACwggCQhAGAhAglDnAprUsXDvw6/8AnMBCQMBWEAASUAAwkAAdj6+a+CIKVs99xTMBuqBq38hADEgAGEggJCAABLMbW8dhTn0Xa89BQLwwNW/EIAYEIAwEEBIQABxvojNx1bndY89BQLwwNW/EIAYEIAwEEBIQAAxSo9LXIm5hr+nQAAeuPoXAhADAhAGAggJCCDGDNu9WGP4ewoE4IGrfyEAMSAAYSCAkIAAYoy0CeBi/p4CAXjg6l8IQAwIQBgIICQggBgDbALowN9TIAAPXP0LAYgBAQgDAYQEBBBjuE0Anfl7CgTggat/IQAxIABhIICQgABiTLYJ4C7+ngIBeODqXwhADAhAGAggJCCAGMUHxcf/+h4P5YIAPHD1LwQgBgQgDAQQEhBAnMl1YgJ4wGNPgQA8cPUvBCAGBCAMBBASEECC15pYw3+9B732FAjAA1f/QgBiQADCQAAhAQHYWPdI1zM6jlzuuadAAB64+hcCEAMCEAYCCAkIQAIIwANX/0IAYkAAwkAAIQEBSAABeODqXwhADAhAGAggJCAACSAAD1z9CwGIAQEIAwGEBAQgAQTggat/IQAxIABhIICQgAAkgAA8cPUvBCAGBCAMBBASEIAEEIAHrv6FAMSAAISBAEICApAAAvDA1b8QgBgQgDAQQEhAABJAAB64+hcCEAMCEAYCCImcFMD/LHZVVv78Pyn+r/JXuQL/q6jcLVnid9lG/VJZuVNyG9vKJQv8Vlm5zW+9q39F/4OdZZLtcLKtsvL3KlWwe0eVim+vrPytShWU+3aqjd+d/fuHY2XFnxKbLKus/EU898+VfwRniiP3gfpFqvPKKyskcv8q9UE1P6Q/yVBt41R1kJMCAAAAAAEAAEDOAgEAAECOAgEAAECOAgEAAECOAgEAAECOAgEAAECOAgEAAECOopwANj3av9uA8dF7U3c816f70EnlNdsiAADITFQTwFedtYuu6qx1WxpZ0AdqWk9NG/Z7UCkAAMhBFBPAL5do/91l7HhCu6rMXBquDdWN4v7amJpuFgAAZCCKCWC2dkvkpaKPZv4EWKFdGvnuX9K5U2kNNwsAADIQxQTwqjbOeh2pzTCMCdqj1sIwbVpNtgkAADITxQQwUxtQab7s7KUtjBwBmm0lvoljQAAAkIxiAigbqD26aeeakdrtpgd6a0usxNnaELZ2/bcWy2qwgQAAkDEoJgDjj5FahMci54C7a+ustHlaf7ZybDuLvjXXvNygsqYboBq7fRdBlcEDYVTh44u1XoMv03p+a77vrG210pZpfdhKCKB6gADSDAQQMhCAInymXTbPfJnVtfNiw7gi/gtgEFv75TiLt7ZbVBjGdjl2GGWSJczBULLETmOHXIEdhlEuuY1d8o0ydvutd0VBtNoK2YY72WUYO6tUQYXvPxWIOQ7L7g9OKneJ5nT2r3MPMYRrMSl3lw7YrkwHy32g5D5MlVJ1l0nVbX5IIQBF6KN9Zr2+pd1mGDdq1u1gxmxtlDMXexQongksDJ4JzAPPBHaCZwJnIWoJ4FdN22a92aB1rTRGanOshana485sLO4QgDAQAA8IwAkEkIWoJYCdF2ps2oc12hWR+wBiNwV84MzG4g4BCAMB8IAAnEAAWYhaAjAGaB9ar69Gjvos0XpFLgb6rUvXP525WNwhAGEgAB4QgBMIIAtRTABfaN0/rTB2v9v5wsjF/kO00eVG2TBtrCsXizsEIAwEwAMCcAIBZCGKCcCY2Enr2rez1vmdyMLmntolt3TVrnPPBsriDgEI4xLAmo8/XOFY7+pfCEAMLwFs+Xz6d44ECAACCAnVBGCsfLBftwGPbmALP4/vfVGfCdvceVjcIQBhHAKYfVYtorzjJ9vWu/oXAhCDL4Af++xBRM3vLUkkQQAQQEgoJwARWNwhAGHsAnihgCzyRiTWu/oXAhCDK4Dvm7P+pQ7F8TQIAAIICQhAAghA17+Njv8mk+LrXf0LAYjBE0DJX+L9e008EQKAAEICApAAAtD1y+LjE7WLr3f1LwQgBk8ALyT6t078RAsEAAGEBAQgAQSg6/slBqi8lbH1rv6FAMTgCaBHon/piVhiWgVQ8uYdw5/5USg3BAABqAiLOwQgTEIAm2zjE82MrXf1LwQgBk8Ap9n6d2gsMY0CqHzmgEjVBX1XC+SGACAAFWFxhwCESQhgc55tgJodW+/qXwhADJ4A/mHr39tjiekTwM8XxipvMTs4NwQAAagIizsEIIztEFBL2zHqNbH1rv6FAMTgCaCPTQATY4lpE8D6k81qT3lwfI8Cor1nBGaHACAAFWFxhwCEsQlgQGJ8Oiu+3tW/EIAYPAG8nejfPdfFEtMlgK3nEtV/JvLuiyOJGs8Lyg8BQAAqwuIOAQhjE0DRvrHxqe5n8fWu/oUAxODeB/CvuADujaelSwBDzfF/NrsK6Me/ErXZGJAfAoAAVITFHQIQxn4j2KcHsOGp4cuJ9a7+hQDE4ApgzcnRa6xuSKSlSQAf1aa8N2KXgS5vRtQnoAAEAAGoCIs7BCCMYyqIokGHEh3Qe4Ftvat/IQAx+FNBlPzn+NrU8Jx3bEnpEcCWNkT9EvcBzKhDee/4FoAAIAAlYXGHAIRxzwZa7Dp24OpfCEAMz9lAS9c4l9MjgPuIDvvVdiPYrUSHF/sVgAAgACVhcYcAhMF00DyybDroVfsQTbbfCVzcmuge3yIQAASgIizuEIAwEACPLBPAjUTnOKeCmEK0z09+RSAACEBFWNwhAGEgAB7ZJYCVDanWl665gM4husmvDAQAAagIizsEIAwEwCO7BGD+AOjmngxuTj7tUeRTBgKAAFSExR0CEAYC4JFVAli7N+V/nTQbaGeim30KQQAQgIqwuEMAwkAAPLJKAA8Qna8nCWBOHu2z3rsQBAABqAiLOwQgDATAI5sEsPVQovf05OcB/IvoQe9SEAAEoCIs7hCAMBAAj2wSwGSiYyOvbgG8Q3TIVs9SEAAEoCIs7hCAMBAAj2wSwPlEYyOvSU8E+yvR656lIAAIQEVY3CEAYSAAHlkkgKW1ae8NkTdJAhhHdLZnMQgAAlARFncIQBgIgEcWCeD22MRvSQLYuA/lL+AViQABQAAqwuIOAQgDAfDIIgG0IvrUepP8UPh+RIO9ikEAEICKsLhDAMJAADyyRwAfE7Vh75IF8HUeNSvxKAcBQAAqwuIOAQgDAfDIHgH0JRrJ3iULQD+RaLJHOQgAAlARFncIQBgIgEfWCKBkX8pfzN5yBDCW6CKPghAABKAiLO4QgDAQAI+sEcBbRKdF33IEsLYB1V3NLwgBQAAqwuIOAQgDAfDIGgFcQfRo9C1HAHp3ov/wC0IAEICKsLhDAMJAADyyRQBbGlPt2JyfPAFMTvxAcAEBQAAqwuIOAQgDAfDIFgFMIeoQe88TQMn+8VMELiAACEBFWNwhAGEgAB7ZIoCrEkeAuALQr/V6NCQEAAGoCIs7BCAMBMAjSwSwtSnlr4gtcAXwIdFx3KIQAASgIizuEIAwEACPLBGAObyfGF/gCqC0BeVxp4OAACAAFWFxhwCEgQB4ZIkAbjob/PUAACAASURBVCQaFV/gCkAfQHQnrygEAAGoCIs7BCAMBMAjSwRwJNF38QW+AD4massrCgFAACqyw6Ii9kaYMmOnZAnDqJQsscsokytQZhgVktvYLdsoc9jY7bee27/BVMg23Ik54OyqUgWV5VUqXm5I7w+u7ft2qh2//vUPzY7lRG0SS+ZOz9m/th9MeUXc7cp0sNwHSu7DVClV906pus0PKQSQU+y2qIy9EabcKJcsYe5b0tuQLiC9jYoUtlHht97Vv7sEq62UbbgTc8CRjYdr+77/VPjb9+9UGzud/btTppYxREMSS5X8Ng8meqRKLYzWLZFb7sNkhFo3BJBbsF9+OAQkDA4B8ciOQ0Ad2MOAo/APAUVOFJ/AScYhIAhARVjcIQBhIAAeWSGAdQW0z5bEoocASg+k/KXJyRAABKAiLO4QgDAQAI+sEMArzrk+PQQQmTD6keRUCAACUBEWdwhAGAiAR1YI4Cqix22LXgKYQnRmcioEAAGoCIs7BCAMBMAjKwRwEOUtty16CWBLIypYk5QKAUAAKsLiDgEIAwHwyAYBfEN0jH3ZSwB6N6LnkxIhAAhARVjcIQBhIAAe2SCAB4hutC97CmACUbekRAgAAlARFncIQBgIgEc2COAconfsy54CWFtAjba4EyEACEBFWNwhAGEgAB5ZIIDNDalhsT3BUwCR+wXedqdBABCAirC4QwDCQAA8skAA04jOdiR4C+BBon7uNAgAAlARFncIQBgIgEcWCOBmonsdCd4C+IHoUHcaBAABqAiLOwQgDATAIwsE0J7oC0eCtwD0o4jmupIgAAhARVjcIQBhIAAemS+ANbWpaakjxUcANxHd7UqCACAAFWFxhwCEgQB4ZL4AXiXq7kzxEcB0otNdSRAABKAiLO4QgDAQAI/MF8D1RGOdKT4CKGlCdVw3A0MAEICKsLhDAMJAADwyXwBHEbme9esjAP0SohecKRAABKAiLO4QgDAQAI+MF0BRPh3kSvITwHNEPZwpEAAEoCIs7hCAMBAAj4wXwESiy11JfgJYVZv22+pIgQAgABVhcYcAhIEAeGS8APoSPeVK8hOAfjLRTEcCBAABqAiLOwQgDATAI+MF0JposSvJVwB3EN3mSIAAIAAVYXGHAISBAHhkugBW5tFh7jRfAcwhaudIgAAgABVhcYcAhIEAeGS6AF4g6uVO8xWA3ozyV9qXIQAIQEVY3CEAYSAAHpkugL5ET7vT/AXQy3XSAAKAAFSExR0CEAYC4JHpAmhDtMid5i+Al1xPhYEAIAAVYXGHAISBAHhkuACK8ujgpER/AawtoCb2C0EhAAhARVjcIQBhIAAeGS6Al4kuS0r0F4B+GtEM2yIEAAGoCIs7BCAMBMAjwwXQj2h8UmKAAEYS3WpbhAAgABVhcYcAhIEAeGS4ANoSfZ+UGCAA14WgEAAEoCIs7hCAMBAAj8wWwNraVJicGiCAyIWgRYklCAACUBEWdwhAGAiAR2YLYDJRl+TUIAFc4bh0FAKAAFSExR0CEAYC4JHZAhhM9HByapAAJhJdnFiCACAAFWFxhwCEgQB4ZLYATnE/DtgiSABr6tgvBIUAIAAVYXGHAISBAHhktACK69E+W5OTgwQQ8cbH8QUIAAJQERZ3CEAYCIBHRgtgOtE5nORAAdxONDS+AAFAACrC4g4BCAMB8MhoAYwkupOTHCiA2UQnxBcgAAhARVjcIQBhIAAeGS2Ac4k+4CQHCqC0KdVeFVuAACAAFWFxhwCEgQB4ZLIAShtT3WJOeqAA9EuJno+9hwAggKxj1m2X9Bq5gr3f8Vyf7kMnlbuzsLhDAMJAADwyWQBfEZ3EqylYAM8TXRp7DwFAAFlG+f2adll3rdMnkQV9oKb11LRhv7sysbhDAMJAADwyWQBjiG7k1RQsgFW1qWlp9D0EAAFkGa9qfVZVVk7TukUGpeHaUN0o7q+NcWVicYcAhIEAeGSyAHoQvcarKVgA+olEs6JvIQAIILsou7Tzlsjrg9q7hrFCuzTy3b+kc6dSZy4WdwhAGAiARyYL4DDKK+IkiwhgONGI6FsIAALILmZo91mvPy/fZBgTtEethWHaNGcuFncIQBgIgEcGC2BFHrXi1iQggE+ITo6+hQAggOxilPZpYmG4Ntt6fdN9DIjFHQIQBgLgkcECeImoJ7cmAQGU7ke1V7O3EAAEkF1coy1e+/LtI1+yjgP11pZYibO1IWztkikWn/9hUWEYf/4hxTZju1yBPwyjQrLEDvlGGbslt7GzUrKAOdTt9FvvioJoteWyDXdiDmY7qlRBxa4qFd9lSO8PTip9O9XGNmf/bgus5Uaip7k17XaX5nAZ0Svs3Z9GmWALI8h9oLZJBa9SfK+y6g78J22YH1IIQBEu0d7sppl0n2UudNfWWYnztP5s7dh2Fn1rrn25QWVNN0A1dvsucjiF6MeUt/Y6UZ+UC2cnEIAidNa0ocu2b3pKu2hjZGGrlbhMi+7PEED1AAGkGVkBlNWl/VIPws+1qDDHQggBKMJF2gDrtq9HtIcM44r4L4BBbO28Fy2m/2lh/mLd9qcU240dcgX+NAdDyRJl8o0yyiWy//bV1Bm6bKN2GMYuv/WuKIhWWy7T8GR2miNdlSqo2F2V0n8smj5rQ5W2X+nbqTa2O/t3e1AtnxBp/JrK3aV5nEj0tfVmm7FTsIUR5D5Q26WCVym+V1l1B/+TCcwPKQSgCJdq063Xpdo1hnGjttRamK2NcuZi535y8STwltv3JaJaXefLbQMngZP5TwuzJ/P+Pis4pyehnQS+iz8TnC50Eth2IShOAkMA2cWN2gLrtVTrXGmM1OZYC1O1x525WNxzUADF/yDGXh8HZ7YBAbgpvSzakwUvp7790ATQkeh9fk1CAvg0NiMoBAABZBfjo78AlkXO+07QxlkLI7UPnLlY3HNQAAMoRuF6mW1AAG4eifdk/YUpVxKaAJpSwUZ+TUICKG1KtX6MvIEAIIDs4iftxorI69jIpf9LtF5l5vvfunR1HaRmcc89AaypGx+26EGZbUAALkqbJXry+pS3H5YA5hO186hJSAC6+fPmmcgrBAABZBm3ag/+Zuz6b6duJebCEG10uVE2TBvrysTinnsCeDkxatHZMtuAAFzMsfXkESlvPywBPE10nUdNYgKYSNQ98goBQABZxsbLtE5Xd9a6fRZZ2NxTu+SWrtp1mA2U8YBt2Gojsw0IwMUkW0/WT3n7YQmgr21KfxdiAlhThxqX6BAABJB9/Pzk1V1vGLMlujC+90V9Jmxz52Fxzz0BPGYbttrKbAMCcDHV1pP7pLz9sATwV6JFHjWJCUA/jehDHQKAANSExT33BPCebdi6RGYbEICLxXmJnjwhOLsHIQlgfW1q5lWToABGEd2sQwAQgJqwuOeeAEpspy7/K7MNCMDNSYmevD/lSkISwDtEF3rVJCiAr4mO0SEACEBNWNxzTwD6C/EvrmdKbQMCcDOjINaTrXmP3hUjJAGMILrXqyZBAegHU95iCAACUBMW9xwUgP5AHTZqnb5GahsQQBIT92A9+ZfUbwMISwDnEM3wqklUANcQPQoBQABqwuKeSwIofn/Cq0sib77o2aJOow6vbpXbBgSQzA/XHVF3z5Me4n3/L5o0Yeo6gSrCEUBpE6rr+atEVABvEp0DAUAAasLinjsCKB6yV+TL6hlfRJfxQBhGOA+EWaTlm51dt0/wj6xwBPCd33lpUQEU70H1N0IAEICSsLjnhgDmXnVwvehxH6r3NkuDABjpE8CsHs3r7XuONS3QF42jvd2K+1BeO+EI4AmiGzxrEhVAZDqh1yAACEBJWNxzQgCPxU9WRmj8k5UIATDSJoARtVj/nr9J33JkvLcvCKogHAH0JproWZOwAMYT9YIAIAAlYXHPBQG8kkcORlqpEAAjXQJI3GDXNTKLQpyvAioIRwBHEy32rElYACtr0QGlEAAEoCIs7jkggNKDneM/nWElQwCMNAlgQ+NEB3/Yy9bb9wVUEIoA1tXyvg1MQgD6CUQzIQAIQEVY3HNAAB+7xn863EqGABhpEsArtg6+7mzbwg0BFYQigLd9bgOTEcCdREMgAAhARVjcc0AAT7gFcIyVDAEw0iSAO20d3EGzLQwJqCAUAfjdBiYjgK+IjoIAIAAVYXHPAQE85haANckvBBAlTQK4zdbBpwyxLXhNyRkjFAGcw+Zx80BcAPqhRAsgAAhAQVjcc0AAb7gF8LqVDAEw0iSAcbYOvviL/Pj7vYPuBAhDAKVNqMBncgoJAdxAdB8EAAEoCIt7DghgfX3n+P8vlgwBMNIkgEWJMZ+ejkzGH+XRoArCEMB3RO19apIQwAdEp0IAEICCsLjngAD0mxzj/1nR+QkgAEa6LgO9LN7Dh2/Wt1zO3ta+PbCCMATwBFE/n5okBLB1X6r9PwgAAlAPFvdcEEDxP6MjU/5ezc5/uTSaCgEw0iWAte2ivdzky8jiO11aNjryyjnBFYQhgKuIXvCpSUIAek+iiRAABKAeLO65IAC95M59I8P/ud/aEyEARtruBN40ODLZUu2u3jdgcQlDAMcQ+c1PKiOA14k6QQAQgHqwuOeEAEwFfPLyFNesNBAAI42TwW3+8MV35KbY1kMRwPraVOhXk4wAivek+jLTxkIAWQgEIEFWCoADBMAIZzZQcUIQwLtEml9NMgLQOxO9LJwZAshKIAAJIAAPXP0LAYgRggBuJ7rbryYpATxP1E04MwSQlUAAEkAAHrj6FwIQIwQBnEc03a8mKQGsq0d7bBLODQFkIxCABBCAB67+hQDECEEA+1OB75AtJQD9fKJXxHNDAFkIBCCBKgL4XebajggQAI8d28szTQDziY7zrUlOAE8RXSyeGwLIQiAACZQQwLoRbfKo8cUCl6kngACS+bLHvkSth62tQhXpF8AzRNf41iQngDV1aS+feSVcQABZCAQggQoCmHcYu2ep4DGJQhBAEuOjj1pr+U3qdaRfAH2JnvWtSU4A/7MeDCkKBJCFQAASKCCATYfGZi3InyxeCgJw83atWD+23JByJekXQFuiBb41SQrgJZljQBBAFgIBSKCAAO5PzAz0F/FSEICbtol+HJlyJWkXwMY61NS/JkkB/CpzDEhZAcyBANSCxT0nBXCSbW448YMXEICLH2zd6H/W1Y+0C+D9wCfRSwrAOF/iXjA1BTD/sfObQQBqweKekwJoZBu5xI/uQgAupti6sUHK20+7AEYG/h6RFcAEootEcysogOUTe7QsLCyEANSCxT0nBVBgG7keFy4FAbiYaOvGWilvP+0C6Ej0nn9NsgIoqU8N1gvmVk4AU/u1Nkf/owdMhQDUgsU95wXwiHApCMDFU7ZurJ3y9tMugKZUZ6N/TbIC+OPCyENuxFBLALOGHW+O/q36/He5e021jVPVAQQggQICqGsbuSYIl4IAXPw3I38BLCD6W0BN0gJ4Kf4cuUAUEsB3o88yR/9DL5uwlKOGahunqgMIQAIFBHCwbeQKOFpgAwJw8ZGtGw9MefvpFsCzRH0DapIWQPHeVKcoOGcEZQTwbLcWhYUtLnp8If/IULWNU9UBBCCBAgLoaTt5GXC0wAYE4KJ4r0Q/SkyW4CLdArg2+HCNtAAie8xosdzKCKCwsNn5j8zjj/4QgAKwuOekAGbHb2Ci68RLQQBuBsa7Mf/jlCtJtwCOI5ofUJO8AN7xf8q8DYUEcOiVLyyBAJRll0Vl7I0wu43dkiUMo1KyRLl8o6S2cU9s4Gr7s0yjjAq/9a7+3SlYbaVvpSKtKq9SBVXY/v+1j/XjHalv379TbZQ5+7fMWUusE34voKZBNZk7vcw+bNZd1pzyVgpllvtAyX2Ywqzb/AA5R/jHL2pRWHjYFc8vhgDUpMyiMvZGmJ3GLskS5r4lWWKXsVOugPmdrkIm/7P7Wmcue26VapRR7ree27/BVEg1PAlTfbLxcFLp+0/5U3ql9VuqyZPVsn2//jV2R998RtQpqKIKQ2r/itQ9hOh2ocxyHyi5D5Nc3XIfoiQBFBV99/C5zczfAZc/twgCUBD2yy8nDwGZbHjl9uGP+s8Y4waHgDj88OSIUa+JXiPPJc2HgEYR3RlUk/whIP1LopalIrmVOQRk8cWoMyIXAvV4JulUcLWNU9UBBCCBGgLAA2FiKPZAGE3gwq4UBBCZ92iaSG61BGAyc2h70wGH9HgSAlALFncIQBgIgEemCeCAwNvAUhPAg0SXiuRWTgAm0248BlNBKAeLOwQgDATAI8MEsICobWBNqQigqID2EDnUpZYAls1ZZr2umHztkRCAWrC4QwDCQAA8MkwAzwY9DSxCKgLQOxGNF8itkAA+v7pt88Lmx/VhE0EvhwDUgsUdAhAGAuCRYQK4JuhpYBFSEsAkohMFcqsjgDEHFRa2OLpFYeFBYzm/DaptnKoOIAAJIAAPXP0LAYiRXgEEPg0sQkoCKCmkvLnBuZURwIcHN+s7Y3nR8hl9mh08AwJQDxZ3CEAYCIBHZglgQx06ILimlASgDybqH5xbGQH0Krwj+m54YW8IQD1Y3CEAYSAAHpklgGlEWnBNqQlgQT41CX4ypDICOLXlsui7JS1OhQDUg8UdAhAGAuCRWQK4g+ju4JpSE4B+JtFzgbmVEcBh7eNv2x0GAagHizsEIAwEwCOzBHAu0YfBNaUogBeJTg3MrYwAOrT4IfpufrMzIQD1YHGHAISBAHhklABK96W6wUdpUhXAlgMo76ug3MoI4PrCXtF3VxReDwGoB4s7BCAMBMAjowTwrdiszSkKQB8icJOBMgKYe3ThP8a//9V7/zmj8Ki5EIB6sLhDAMJAADwySgCPE90gUFOqAlhUm/YOuhtYGQEUTW5byGj7RvL4DwFkPSzuEIAwEACPjBLAlUQTBWpKVQD6BUQPB+RWRwBFS++/+NQ2f+/x4DLO+A8BZD0s7hCAMBAAj4wSQBuiZQI1pSyAqUStAyaFVkgAvlTbOFUdQAASQAAeuPoXAhAjjQJYnU8tRWpKWQClrYmm+ueGALIQCEACCMADV/9CAGKkUQCTibqL1JSyAPSHic7zz62MAB5xAwGoBYs7BCAMBMAjkwRwc/AheovUBbC+EeXP882tjAAK3UAAasHiDgEIAwHwyCQB/J3oc5GaUheA/m+ivr65lRHAQDcQgFqwuEMAwkAAPDJIAFsa0l5bRWqqggAW1qaGq/xyKyMAnANQHBZ3CEAYCIBHBgngU6IOQjVVQQD6RUR3+OWGALIQCEACCMADV/9CAGKkTwAPEN0mVFNVBDCT6AC/2SbUEcCSiSPviAEBqAeLOwQgDATAI4MEYH45f0uopqoIQD+VaJxPbmUE8M1pnieAIQAVYHGHAISBAHhkkACaUe21QjVVSQCvE7XyOdOgjAD6FR5+/ci7okAA6sHiDgEIAwHwyBwB/ED0V7GaqiSA0jZEL3nnVkYAx7eYjnMAKsPirpgANny/OOBW/TgQAMNTACu/973cJUrmCODpoCs041RJAPqTRO28c6sigGUt/uk3/kMAWQ+Lu1ICeOOU2kT7Xl8kVAQCYPAFsPnuQ4mozcOBl1VmjgCuFnlgl0XVBLC5BdEUz9yqCGBW4T8gAKVhcVdJADcS48AvRYpAAAyuAFa3j/Zlh00BxTNHAEcRLRKrqWoC0EcTneaZWxUBLDmkxSwIQGVY3BUSwDiK0WKjQBEIgMEVwAXxvuwZUDxjBLA6n1oI1lRFAWxqSvSBV25VBFA0uvBUv5MA1TZOVQcQgASZKoAdhfFBi+4TKAIBMHgCmJnoyoCpbzJHAJMEZ4LTqywAfRTRmV65lRHAPWcWNj+jx5UMCEA9WNzVEcBXiUHL5xd6AgiAwRPAYFtf3utfPGMEcJPgTHB61QWwvgnRRx65lRGAz0RwEIAKsLirI4BXbYNWc4EiEACDJ4Butr4MuLImYwRwCtEcwZqqKgD9DqKzPHIrI4CX7EAA6sHiro4AXrMNWiIHgyEAhiIC+L96tI/QTHB6GgSwrjHRDH5uZQQQQLWNU9UBBCBBpgrga9ugdbpAEQiAwRPAzba+DDifkikCmEV0jugmqyyAyE8Aj3nnIIAsBAKQIFMFsKNZYtB6QKAIBMDgCeDTRFfW+t6/eKYI4D6iO0U3WXUBrGvidSGQMgJ4wg4EkH2s7XI7e7PjuT7dh04qd69ncVdHADufjA9ahwRdvB4BAmBwLwPtFO/LqwKKZ4oALiCaLrrJqgsgciEQ/0oDZQSAk8DZzc4BGhOAPlDTemrasN9dGVjcFRKAPiQvegp4rkgRCIDBFcDak6Lj/7/8pj6OkCECqNiH6gU1NU4aBLChqcftwMoI4JooPY4qPOd+CCDreFaLCmC4NlQ3ivtrY1wZWNxVEoA+9YwCogMGikxhAwHE4E8FseWBI4nyjh4XOLNShghgMdGpwptMgwAiDx9ox+scZQQQZ+GlheMggGxjfqeeTAArtEsj3/1LOncqdeZgcVdKALq+acFy0SIQAMNzMrjV34tMrpwhAnic6GbhTaZDAMUt+JOCqieAokVHHL0SAsgufuvVazoTwATtUStlmDbNmYXFXTEBSAABMNSYDvqePehN4U2mQwD6eKLWJcnJCgqg6OzCRRBAdnGfNu8rJoDh2mwr5U33MSAWdwhAGAiAR4YIoPK3j0QmgGKkRQAlRxKNT05WUAAL27TCIaDsYob2pBEVQG9tiZU0WxvizMPiDgEIAwHwyBQBiNYSIS0C0F8kap58uZkyApgS5c2nzi7sAgFkFcXdry+LCaC7ts5Km6f1ZyvnvWgx/U+LCsPY9qcU240dcgX+NIxKyRJl8o0yyiW3sUu2UeZQt8tvvSsIotWWyzbciTmYlVWpgordVSq+y5DeH5xU+naqje3O/t2eWi0Ryt2lfdlm7OSm/3EC0f1JqXIfqO1SwasU36usuiX+yciH1DnC2y4CbfYiBJBNlA/ubMYnKoDO2lYrcZnWh60d286ib401L0eorOkGqMZu38Ua4HOixr/UdCPSiHOE1xgdT2lR+BDnuFBNNzatKCaAV7T/GnEBXBH/BTCIrYUAqgcIIM1knACMjkS31HQb0ojHKYDZZ7f5HALIIn668ObIbb9RAdyoLbVSZ2uj2Ool7NDe539YmL9Y//xDim3GdrkCfxhGhWSJHbKNWjTpheklckV2VsrlNxtl7PRb7wqDaLXluyXb4WSnYezgrlj9xvhJPwlUULGrStvfZUjvD04qfTvVxjZn/25LrZYIu92lffnTKPNYM68W1VvmSpP7QG3zCB6fSvG9yqpb4p+MfEg9BFD0zSF9IIAsYo6WYJUxUptjpU7VHndmY+d+lDgJ/In1AMMGA0RmgIij9kngZRfmR57moi0JrAAngQPwOglscgVRN1eSMieBbZx1KgSQRcy71qKX1vXaa9cZE7RxVupI7QNnNhZ3FQQwqSA6b0H79RKllBbA9wdEu2T/74IqgAAC8BHA0gaUP9OZpKAAlh9zKASQfUQPAS3RepWZL7916eq6TIXFXQEBFO0dn7nsGoltqCyA0vbxLmkbNEk+BBCAjwD0W4hOcaYoI4C5Md7tUXg6BJB9RAVgDNFGlxtlw7SxrvUs7goIYERi7uKC1eLFVBbANNt8/m8FVAABBOAngPXmL60XHSnKCMA+GSjmAspCYgLY3FO75Jau2nXKzgZ6um20e0W8mMoCsD/Td2BABRBAAH4C0McRHeKYhVQZARwXo/2Fz3COC4U2btUESgvA+Hl874v6TNjmXs/iroAADreNdqPFi6ksgMtsXdI9oAIIIABfAWw9muhue4IyAgggpFGrZlBSAEGwuCsggL/aRrvHxYupLIC+ti65MqACCCAAXwHoU4n2LrItQwBZCAQgQcYJ4BLbaDdbvJjKAnjU1iUPBlQAAQTgLwD9POdT0xQTwDIIQFVY3DNfAD9+9qX/o54mJwa71oHPL0mgsgBWNIh3Sb2lSWs3fvG57WQ5BBBAgAC+K6DacxKLCglgwa1ntyk8+tyRiyEAFWFxz3QBTGqfT1S/m++TyS+IDXZ13pHYhsoCiDyyNsod7lVfdSwgqnXqu7FlCCCAAAHoNxCdkVhSRwAvHVlY2CxyDdCxUyAABWFxz3ABxB7zu+e7Prk3dIxmmiizDaUFoN9ay+qS/KTHZL1Wn3VWfuzUJQQQQJAAVu9nfzaYMgKY06rw6hlLC/tM7VV4zLcQgHqwuGe2ACbEv8g2WuGXf3K31s1PunmZ1DbUFoA+p89RhX+5ao47eUH9WI/mvclSIIAAggSgP0bUMj4LiTICuKZwgPm38PqiopsL/w0BqAeLe2YLoFXi8P6NAY3CA2GEuDLRo8ezFAgggEABbD2GaHhsQRkBnNF8flQAi1v8EwJQDxb3jBbAd7aLWVoHNAoCEOLARI/msR9VEEAAgQLQ38+jBoui75URwKEnFEUFUHQ85gJSEBb3jBbAWzYB1A9oFAQgQnGerUs/tpIggACCBaB3I7oo+lYZAbRvtTwqgGUHtYMA1IPFPaMF8LZttNojoFEQgAhb8m1d+omVBAEEICCAxQ0pL3oFmjICuKLwwagAbi/sDQGoB4t7RgtgoW20OjagURCAEC0TPVprlZUCAQQgIAD9DqI2W6x3ygjg4xbN/z2/qPDKqdc2O2gGBKAeLO6ZKIDJFx7cpE3fuea7tonharhvEQhAkP6JHv0HSxEQwNaJ5zVvcsy/F/LWQQARig8nusd6p4wAip49pPANa07Qg55KHv8hgKyHxT3zBFDchY1PBQ/o+tT4EYtmawMaBQEIsbJxrEfrRJ9kEiyA1R1YiYbPcVZCABaTifa0nr6mjgCKZg/7sKiwRftrZ3HGfwgg62FxzzwB9Ih/RX1K1x+rEx3/vwhqFAQgxox9WY/Wi43mgQIoPSMWkNpTk9dCAIyORF0irwoJIMJyXiIEoAIs7jUmgLevO7fj4M+Sbd47AgAAIABJREFU0z9OXKeyX7Guf3bRXkQHDVoV2CgIQJDl/QqJ9ukxN7YcKICXEkeN2iSvrZoAtr5y1QVdhs8TypvZAljYgCjiR8UE4Em1jVPVAQQgQVoEsORUdin6JUlP8b3eduJ3kpVStE6kURCAOGt/tC0ECqCTLSJJdxZXTQBfHcVOR9+wRSBzZgtAv5Po8GIIICuBACRIhwB+ij/EpYP7kbUdbMPNXRKNggBSJFAArW0ReTZpbVUEsGC/WL09BXJnuAA2m/10GwSQlUAAEqRDAP0SQ8o416qTbcPNbRKNggBSJFAAtitHaWzS2qoIoGOi4reDc2e4APRpeVT3WwggG4EAJEiDALbsk/jkn+DK3MV3uPFuFASQIoECOMkWkclJa6sggJW1EhV3C86e6QKIPIjz76UQQBYCAUiQBgHMtQ0pBa5nuIxPrMrjXnju0SgIIEUCBTAsEZH6G5LWVkEAtif50KHB2TNeAEVNiMZDAFkIBCBBGgTwoe2TT65TvJsOiq+5RKZREECKBAqgqFE8IoOS11ZBAM/Z9oLGwdkzXgD6k+b/UQwBZB8QgARpEMA82ye/njv3p3tF1xyz2r3Kr1EQQIoE3wg2uSAakX9wns1ZBQFMse0GrYKzZ74AIlcwXAwBZB8QgARpEECpbVLiDknZvz8ncitA/X7Jhxv8GgUBpIjAVBCzrYt2Gw3dzFlXBQGsKUjsBr2Cs2eBABY0IHoXAsg6IAAJ0nEV0PDEJ/9VToHlk19/d4Negl8AAlSHAHT9h1ee/YDz9d9kxx87U74KqGd8L6g1Ozh3FghAv4/owF8ggGwDApAgHQLYFL+y5HJuid+NraP/VosanM2Ze8CjURBAilRpNtA53RsTtbpVQtV2io6I7QbDBHJngwC2tifqCQFkGxCABGm5E3hdT+sSwPpDS7glfv/lhOjI0E+0URBAilRFAGOjB3EO+jq18ivOt4o3ekQkczYIQJ9bn+hl8ewQQEYAAUiQprmA5j9wXf/xRR4lfj87fnDgXsFGQQApUgUBTIlP1toiaUoPQb4Y9e/Bz/rP9BojKwSgP0K07wrh3BBARgABSFAdD4R5N3GOYE+hoQUCSJkqCOBviTDdkXIliswGGq/7DKJzhHNDABkBBCBBdQjgatsFgi+JNQoCSJHUBbDAFqW2KW9fMQHsXrsX0WjR3BBARgABSFAdAjjDNrTcKdYoCCBFUhfAW7Yo7Z3y9lUTgPESUb3kWVP5QAAZAQQgQXUI4FTb0DJCrFEQQIqkLoA3bFFqmPL2lROA0YXoSMFzIhBARgABSFAdAuhhG1qeEWsUBJAiqQvga1uUOI+KEUQ9AaxpSXSxWG67AIqnP3ht1049Bj+32Cs3BBASEIAE1SGAFxMjS4HXlUKuRkEAKVKFk8CHJMJ0Y8qVqCeA/80sED0NEBdA8YQLGsQ7868PrOHmhgBCAgKQoDoE8H/Hxj8MAwQbBQGkSBUE8HQ8So3Er3x0o6AA9IfMLy4fiOSOCqBoyL7kYO8RGzm5IYCQgAAkqA4B/L6mefST8C/e/DO8RkEAKVKVG8EGRqO0xzup16GiAPSLifZbIJDbEsDqm6wv/w3Puf2Vjz55//G+B0eWDuY8IgcCCAkIQIJqEYCx+prIpKAtH3I/MdKzURBAilRpKohXIrcC1L1oXhWqUFIAG81+aSMwQYYpgJKHG5t9mNfhhU3x1PfPzyPKH5R0lzwEEBIQgATVI4Cf9S1ffiTyHYoBAaRMlQRgDnXfLuJP5yGKkgLQFx9AdDp/+jw7vxiz/moO//ldv3CmTz/KTD3TfSYAAgiJnBTAbovK2Bthyo1yyRKGUSm9DekC0tuoSGEbFX7rXf27S7DaStmGO6kwpOPh2r7vPxX+9v071cZOZ//uTK2WCJVybZat23r9bg+ii3YE5f6/AZHZNM5ekLRi+y3mj4Bji10Nkfqwyn1QzQ8QBJBT7LCoiL0RpszYKVnC3LckS+wyyuQKlJmDs+Q2dss2yhyAdvut5/ZvMBWyDXdifnJ3VamCyvIqFTe1KLs/uLbv26l2/PrXPzQuzJ1eZv+S6uD4B2paHaKL//DPPKVZ5Gj/m9x1bzQkOnKtI6lS6sO6UyowEECuwX75Ze4hIClwCChlqngIqAoPhGGoeQjI5NlaRB39jgIt72wO/3UG8a73ifBxY9MAjougcQgoJCAACSAAD1z9CwGIoawA9PGmAU7/yStj6X/2Mcf/E30m0v5iX6Lj7LcUQwAhAQFIAAF44OpfCEAMdQWgP1OH6AiPEf6zE83hv8F95X5TQXzeiOg823VwEEBIQAASQAAeuPoXAhBDYQHokeP4Dcdxcq3oHXkg0pkLAuYC+qCe4x5rCCAkIAAJ0i+AuZOmLHGmQADCqCSAzTMmve89i1oWCkCfc5A5znf41pVn5SBTDHTAc8GTwT2fR3kT4ksQQEhAABKkWwDPHBa58fGk6fY0CEAYdQSwceCekbmfLlvpkTEbBaD/eF7kRG/Pr2xJH/esF/k/B0Su8g+cDfRmoj3mxhYggJCAACRIswCuj84mUPtJWyIEIIwyAvjpmOiecOA8fsasFICuj4+c66XjR0xboeubvp14rTWDXn63762VgQLYehbRUbF7hCGAkIAAJEivAJ6Lz39Vx3a2DAIQRhkBdI7vCcfw5//IUgHoRdcUOGd6o4IesV8Ewc8DKGpO1Df6HgIICQhAgvQKoE3iY3FpIhUCEEYVAXybl9gTXuVmzFYB6PrSm1vYhv9j7k5MnSrwQJjptSnvDfYWAggJCECCtApgke2DsX8iGQIQRhUBPGDbE67iZsxeAeh66cxRXdsf0rJNh76PL7SnizwR7FaiA1ZZ7yCAkIAAJEirAKbbPvZ5ibsmIQBhVBHAANuecDY3YzYLwAsRAWxpF3vAGAQQEhCABGkVwKe2j33txKFfCEAYVQQw2LYndORmzFUB6HPrEb0WeQMBhAQEIEFaBbC6TuJj31ovev6Ou9+IXPIAAQhjF8AP4++4b5rs5MwZIoCnbAIYzM2YswLQRxEVRi4ahQBCAgKQIL0ngc9JfOyH9K8bedlvLAQgQUIAP3aLTC1Mh0yWqyBDBLBqj8SxwM+5GXNXACXHEfXRIYDQgAAkSK8Avqgf+9i3OC327mYIQJy4AIpaxcbPp6QqyBAB6HfHBdCLnzF3BaDPKaD8GRBAaEAAEqT5RrDJjdin/rD+iW+A0yEAYeIC6BHvvwaLZCrIFAHog6IXgnb2mEI5hwWgDyI6ZgsEEBYQgATpngpi6cAj6zZod/e6pomDQecpLYBpvdu37TgmPgt8mgRQVMt2ME2mgowRgP5hlwNrNTnnv14Zc1kAGw8muhcCCAsIQIKQZgP9ynYSMO9ldQWwvlP0iNfH0YQ0CeBFW/+dJFNB5ggggFwWgD6JaM+lEEBIQAAShCSAd2wDGNWarqoASv8Z+x/3/oalpEkAD9u671CZCiCAADJCAHpHou4QQEhAABIECGDB/X2vedBxt6OYAOx3BBAdwp8OxqdRWSKAFxL/479YSpoE8LSt946VqUBaAIseuqbvfd/HliAAJ2EJ4If6lPc5BBAOEIAEvgLYYD3ogupcZz+RJySA9fUcBnhbtlFZIoB/2X7msClh0iQA+yG0K2QqkBRAcX/r1o1aV0Qn7ocAnIQlAH0YUdsKCCAUIAAJ/ASw+YzYGHSu7Su82BPBLnEI4G7ZRmWJAApt/+NbVkq6rgI6LlHxBzIVyAmgtGNsI6cyx0MATkITwKaWRM9CAKEAAUjgJwDbjF5jE6liAlhsuwyI6BbZRmWJAPay/Y8vWinpEsDM+B0VHtfReyAngCcTzR9lJUAATkITgP4S0f4yQzoEIAwEIIGfAI7gHocWfCbwl3vaBseHZRuVJQI4zPY/soegpe1O4HeYQfP6bJGqQE4A7RPNb2klQABOwhOAfkbkHklxIABhIAAJfARQZBvd8uIXugs/FP5BW3H3Y1QDG5UlArgy8S/uxY6hpG8uoHWjL2h7aj/+PAreSAlgS74tRtaDnCEAJyEKYE5tKpD4XEAAwkAAEvgIYK79IE7iSiBRAazZL174AlUvA/2ydvx/vImlZNVsoCvsEbZUAwE4CVEAej+i88RzQwDCQAAS+Ajga/vwsC6eLCoA/a3Ys/NabFJVAPr9sf45KfoTKasEUGx7bhdZM0789NX3HlM3CAIBCLO1EdFU4dwQgDAQgASeAnjvZPvxgTaJFcIC0D+yHgye3/Ende8E1idajwcsuDZ2iCyrBKD/NRHhwlJdf+Eo802djnOrsH0IQJiKR4mOEp7uGwIQBgKQwEsAo22T0Zjcn1jDFcCmd8Y+/lHyzjxz9B2PL1B7NtDN79w/8vmV8cVqF0DJR+PHvrMpvigngNGJCN+q69dH3zZ4S64JdiAAYSp2HkH0H9HcEIAwEIAEHgL4MN8x/p+8ObGKI4DSuxtHcrWcyN+G0gJwUd0CmNgy0vON747dqCEngC2nxyL81w364/Fw77VMqg12IABhKoypRE3XBWe0gACEgQAk8BDAWY7xv8sa26pkAWztHst4B3cbEIAwsgK4I9bz3aMGkLwTeG13dhrg3CJdb5kI+L+lKrEDAQhTYVSeGr94IBAIQBgIQAK+ADYVJAaDWjfNdqxLFsB/4nnzZvC2AQEIIymAjxJnccewFOm5gD4fcmHHQZGw2WefaC1ZSQIIQBhTALPyqd4PYrkhAGEgAAn4Alhg//5/7hndRps/ARZPe295ZF2yAA5P5OU+ABwC8OPHD95ZEF+QFECnRM8fxlISAih+okcHbcRCr6JJvGELeQOJNjiBAISJzAZ6KVFXsdwQgDAQgAR8ASwmF40Gt418wT/pfY4AFtry7cXbBgTgzWcdImdbWj8fXZQUQCNb17NvknEBvN/cSq0zolSwrim2uvaWaIMTCECYiACWNPT41ZwEBCAMBCABXwBb7PM42Kk1JlkAH9kzrOfUBgF48nLsWNv1bFlOABvtPc+moogJ4OP4XEKi8w38YKurnXgbXEAAwljPAxhK1F5I0RCAMBCABB4ngZ2TedoNMCtJAF/YVtfmXdcMAXjxQ3yYJvbsdzkBbK1t6/o5VlJMAMcmQvKlYG22CUjvkvgfnEAAwlgC2NiM6BmR3BCAMMoJYO2Yq7tcc89ytrDjuT7dh04qd+dhcU+bAOZ7/QSgjkkC2JgYxegvvMogAC/6JnqOHcOXPAR0VKJ8/Q1WSlQAs20RE72k5934rR+HbJBogxMIQBj2RLCniZpvDMwLAUigmgC+6KxpfbpqnV6LLOgDNa2npg373ZWJxT19N4K9vY+HABqUJ50E7p5YeyevLgjAi4NtHftdJEFSACMTxbuzlKgAHrVV/FfR2h6vGx3/v5NoggsIQBgmgNLjiW4TyA0BCKOYAH7tqo3+2Sh/u1OnRebScG2obhT318a4crG4p3EqiCX9DiKyXQ0apyRJAD80jq1rs4lXFQTgQam9f6dEUiQFsKlNrHTj6NWEUQFcbau4sXB1X1+2P+W1GSF6bxIPCECY6DOBZ+RRfYFrtSAAYRQTwJvardYBnwnafYaxQrs08t2/pHOnUmcuFvf0Pg/g6xtsB3fi/JJ8J/CnLdiqdou59UAAXjSw9et7kQTZG8EWt2OFW3waWdo05txjjrvk9VLnOZxGEvXt2F6O2UBtVIMAIrHqEpwbAhBGMQE8oE23XldoV0Us8Ki1MEyb5szF4p4OAXzSs1WTVj3NAeVO+ynGOPvz5gJa/0CHgw8//xmPZ5dAAF7YJmPLt26ykJ4KYssz5x9+cIcHrIuvPjuEVXVGkT7IFrEDJKoTmQ566/Pntti/7c3LuSshAGFiAohcCvpeYG4IQBjFBHDPVYut15+0XpEjQLOthTfdx4BY3KsugNIb2c2leTfewxv+ifqKzwYaAwLw4vZEv55qJVRlNtAF8SNxx295xhaxf0jUISCAH09j1e79Gm8tBCBMTACRvSB4VlAIQBjFBBDjNW2UYfTWllgLs7UhzrUs7lUXwPD4uFGHO/43Wb5l1VaPuryAALxYH59/p+BjK6EqAuiaiNLDy22T+d0fXDROsAC2nhhvMu8OJghAmLgAis1fbg8G5YYAhFFTAAu7aOYvge7aOmtpntafJX96n8VLOywqDGOHHGXGTvviWt5RfxsH9I8cZvjLuG0y29hllMk2yqiQK7Fjd6VkAXPY2O233tX9otVWyDV8SXQajT0msWVzwNklVUECvV4iTCfuSDyscv+tEpWUG879IZmJ9q0kU+nbqXb8+tc/NC7MnV5m/5LqYLkPVFlQ5zmojNc91fw9tSEg906pug2jEgJQibKXLtQmma+dta3W8jKtD1sxtp1F3zRtJzElsIsDrz+yVu2jbovdLHSOe4BUncqQ6v3jobYFeYcOWFv1mubbotXA+LVt9G39z1Ks79exnU8+947V7uTzbZtZU4Xm7vZdzDE0ot7prhMCUIgvr9K6z4i8uSL+C2AQW5NeAWwu5A//tS4tscbAjvGUa9OzwawhLAGkr+7PbPHK22X88W/rF8EZi1Osbho7o1B7lKt1tkmj6b0qNBcCsLG6PuV9nuY6IQBl+O1BTXuIffO/UVtqvc6OnBCIsP5bi2W/Wpi/4H/7VYo/jD8TC5tb88f/i35k62cmkvIXiW9jm/G7XKN+NwcEuRK/llVKFthm/qzyW++OgWC1u2Ub7sT8YbUtxaLzbAGrH0nY8Oa4F36QrGSnEd0f3o6fAhrqzLGfbTMTkyuo9O1UG386+/dPx0rhWiKY7pDYv34ztkvULfeB+kMqeBVGYp8dQdS6NKDuPyTqNowKCEAVtvbWblgRfT9Sm2O9TtUed2Zi536qeBL4Nv74T29H19svLpQ4tYiTwMJU4STwEltwGqa6/dhJ4C2HxOuq840jx9G2zUxPrgAngYWJnwQ2KT7CNK1vbpwEFkYxAWy7Xhu7K7YwQRtnvY7UPnDmYnGvogAO4o//f4td9tPZlnit+DYgAGGqIIDptuDUkr1QK0ZMAO/YKhviyPHvxIq9NydXAAEIYxeA/m4e1Z3rlxsCEEYxAbwbO9oTYYnWq8x8+a1LV9dPaBb3qglgFX/8bxLfMS+ypV4nvg0IQJhMEcDdtsr+5cixKHH38nBOBRCAMA4B6D2JTvSLGgQgjGICuEFbVBHFXBqijS43yoZpY125WNyrJgDHc8Bi5J2VeF7VTbb0wAuXE0AAwlRBAMtswRGf/sdFTAC32Co7yZllYuwG8bM5PwAgAHGcAljVlOg+n9wQgDBqCaD8Qi1G5MqbzT21S27pql0XxmygG/Ioia7zbJltJ4FrL0iqyhMIQJgqCKDIFr0mqW4/JoCHbLuA5soz3Zp/aJ8R3Ik/IABhnALQXySq/41XXghAArUEsEVzCMD4eXzvi/pM2ObOxuJexXMA7ZIFcKUjtxZPv0ZiGxCAMFUQwAxb1ApEnwPpJiaAL31/63078YlpxfwKIABhXALQu0Tm8PDMDQEIo5YABGFxr6IA7DPIRLnMkXvtSdHk8z0+/1wgAGGqIID3bVGrFTi1jAfxqSA6JH5N/CRTAQQgjFsARU2JhnnmhgCEgQAkcAig9OIkAbieVbHlgdZE+cc+LvUNEwIQpgoCsD/Tt3mq248LYMGB0arqvCFVAQQgjFsA+qQ8qs25spYBAQgDAUhgE8Dbfc/scLx7LqCZSSV+XSOzl0eAAITxEkDRfdoZ2j1FvmXbJKJ2VarbT0wGt+hsq6bWH8hVAAEIkySAyBNCW6zyyA0BCAMBSBAXwMroj/6/DBz2wt/jI8m/kktgOmg/whHAk3tY0Wg43q/sC/Go1ZM4Q+/EPhvo3IdvuecD2ZMJEIAwyQKIPODtPI8ehwCEgQAkiAlg4zGx0aPNen1lbEqINpzvnBCAH6EI4JnYBT55T/gVvjGaq+CllLcv8kAYXyAAYZIFoH/VgOgOfm4IQBgIQIKYAGyPJrlF19f/ey/zzd6DNnBKQAB+OATwk8ypcguuANbEn/RCjXzPyL74l8gJ4DM/k91qAgjASTULQH/SjN9kbm4IQBgIQIKYAA61nUEs1UufPqEW1T7xWd7PUQjAj4QAPuq4B1GrEeulWsUVwFO2czLj/MsvnDXb6yCyEBCAk+oWQOQ0wN5f83JDAMJAABJEBbDGfuJ3RfF50XcdOV9hIQA/4gIYVYt14eFSx+O5ArjOFpurAyrYvUNmc0lAAE6qXQCbTyFqyXvcMgQgDAQgQVQA9msI6ZtefuMNBOBHTACJM7KtZY4DcQVwqS02XQMqgAACyHAB6EUHEx27NjkdAhAGApAgKoCN9lkgZiYeKFvru6QSEIAfUQGUHpzozkclWsUVgG0CTro+oAIIIIBMF4A+tzHRyckn3yAAYSAACWLnAI5LjDFH3WkbcO5KKgEB+BEVwGxbF3aQaBVXAK/bKns5oAIIIICMF4A+oyHR6UmnjiAAYSAACWICsJ1oHNvTNuD0SioBAfgRFcAEWxceJNEqrgA2HxGv69Cg40kQQACZLwB9aj2i9u5z+RCAMBCABDEBlHaJjTHaVvsx58uTSkAAfkQF8KytC2XmZeDfB/Bxw2hVDWYEVQABBJAFAtAn1ydqNd+ZBgEIAwFIEL8TeMsQaxaIejdtdjwZMvmhHxCAH1EBfGjrwlMkWuVxJ/Bnx1o1HTMrsAIIIIBsEIA+bU+ixm85kiAAYSAACWxzARU9efPNT0Ru/f3UNnol31QEAfgRFUCJ7dnpyadRvPGcDG76XQNHTheYlwECCCArBKB/3oyo1mD7E3cgAGEgAAl+4X3gz48PXu6HgegQgD+xy0BHx7uwcJ1Eq6owGygDAgggOwSgL21v7jpHf5RI4Atg1ftjBnY+8bDGdYgusKdDALkGi3uaBPDTsdHB67g1ySshAD9iAii9OtqFjYMP29iAACwgAH1zvzyi/IvnxZaTBLDqjaHnNbf9Vu9sXwkB5Bos7mkSgF48rKm5Sx0wgnfNCQTgR2IqiAmR6fUaXL5EqlUQgAUEYDKlpbkD1bpwKntUvF0Am2c9dMlhtjt38hu1PLRNf3tZCCDXYHFPlwBMvv/ke/4KCMAP+2RwKz/5gvfcdD8gAAsIIMKGW6zrMg7s9ez80pgAlr77cO/j68ZG/jptugx/7uOlW5OKQgC5Bot7GgXgCQTgR809EYwBAQSQRQLQ9WX92YMgqF6rk8/6xxnHHxIf+inviEse+sjzrhAIINdgcYcAhIEAeEAATmpYALq+5tETExOzxGhy1i1v+E/6CgHkGizuEIAwEAAPCMBJjQvAZMWzfU9pykb+Wge0v3jEqwuDy0AAuQaLOwQgDATAAwJwkgkCsNj84+of5os/6gECyDVY3CEAYSAAHhCAk4wRAG4EEwcCkAAC8MDVvxCAGBCAMBBASEAAEkAAHrj6FwIQAwIQBgIICQhAAgjAA1f/QgBiQADCQAAhAQFIAAF44OpfCEAMCEAYCCAkIAAJIAAPXP0LAYgBAQgDAYQEBCABBOCBq38hADEgAGEggJDIeQF8dtP55/R9s3TDuB5ndrlv+ZdTZvk8RxAC8MDVv45hoPjTqV8lz79i8l6/jtq/A5/a5c3UG7TON3+aenkIIBAIAAJQERb3yP66oQebJ7D1vmzOkMiclH08byGBADxw9a9tGCjqHZmja78RSRO9rTyT3a95gfgNOw6WnMbKd1mbWvkIEEAAEAAEoCIs7ub+Wnpm0tQhJi0WeOwpEIAHrv5NDAPfN4v26UkbnCXWHxXr7fZBj27nsjr+7PfTS1IpbwEBBAABQAAqwuJu7q9P8sZ/orbcQxYQgCeu/o0PAyVHx/v0CmcJ26OU75FsjMWARPlHUylvAQEEAAFAACrC4m7ur6fwBUCv8fcUCMADV//Gh4EXE12av8heoNT2eKYjJRsToaRJovxxKZRnQAABQAAQgIqwuJv7a30PAVzF31MgAA9c/RsfBnra+nSMvcAye2+vl2yNyTxb8VopHwOCAAKAACAAFWFx323s9Bj/6Sz+ngIBeODq3/gw0MHWp4PtBb629/ai5AqDmGkv/5N8eQYEEAAEAAGoSKWF+WZvDwFcWMnH8Ej3JL4xiSLhbyOFRvkXcfVvRSy9o61P77IX0G0r8rbLtqaycq2tfN2K4PxezU61ZLR41cqLh3qXs393pVaLlVmuzblSNwSQU2y3qDCM8zwEcPN2LmVGGX+FJ+ZuK1lip7FDroD5PbRcchu75Rtl7PZbz+1fk4G2Pn3FUaJNYkV7ycZE2NYiUb5DCuUZFb7/VCDmN17Z/cFJpfD2nf3r3EOMXRKbLHeXDtjuTonMFbbIB7NDqu5KqbrlPqjmhxQCyCnYLz/z8/uGhwBm8n8r4hCQB67+jR8ImJ7o0j1WO0o8lFjzpGRjLO5MlH8plfIWOAQUAA4BQQAqwuIe2V97c8f/7h57CgTggat/E8PAhfE+dV3sueWs2IoLSyUbY1F8Wqz8pakUZ0AAAUAAEICKsLhH9tetIxpEBpFa2rG28f9fGz32FAjAA1f/JoaBDdHTwHk3uItsuq4gsqLuoKR7hMXY0Lt2pHz921K/DwwCCAICgABUhMWd7a8/PjHw+ocW6Pr0Edfecse5e1P9057z/EoKAXjg6l/bMFD61Kn1qNEF0ziFFo+56aZxyyVbYuOHsYNvfboo9fIQQCAQAASgIizu3P3V9/soBOCBq39d3erZp5gNVDAjBAABhAQEIAEE4IGrfzEdtBgQgDAQQEhAABJAAB64+hcCEAMCEAYCCAkIQAIIwANX/0IAYkAAwkAAIQEBSAABeODqXwhADAhAGAggJCAACSAAD1z9CwGIAQEIAwGEBAQgAQTggat/IQAxIABhIICQgAAkgAA8cPUvBCAGBCAMBBASEIAEEIAHrv6FAMSAAISBAEIiJwXAeLBfv7KwtzGw3+1hb6K0X78ZlIx4AAAHe0lEQVQnwt7Gon793g57G/JM79fvu5rc/qR+/VbW5PZT4cl+/UrDqvuhED9QI/rdGFbVxr/73RFa3RlPDgvginbttoW9jZPbaWFvYmO7duF9NqJ81q7duLC3Ic9z7dpNr8ntP9Su3bc1uf1UGNSu3Yaw6g7zA3VBu1PDqto4qV2n0OrOeCCAUIEAQgQCkAcCSAYCyE0gAGEgAB4QgBMIIAuBAEIFAggRCEAeCCAZCCA3gQCEgQB4QABOIIAsBAIIFQggRCAAeSCAZCCA3OSNceN2hb2NJ8a9GPYmfh03blrY21g9btxXYW9Dnu/GjavRa7I/GzcutME0LKaNG/drWHWbH6idYdU9cdyTYVVtfkhfCq3ujCeHBQAAALkNBAAAADkKBAAAADkKBAAAADkKBAAAADlKzgpg06P9uw0Y757HMn182n1L9N3aMVd3ueae5aFuw5h12yW9Rq5I9wYcTd/xXJ/uQyeVp3sbslyuxVlVM61y7DoZ0itBhB3JtV1uD6du+46d3rqzMYzpJ1cF8FVn7aKrOmvdloa1gaFadHD+orOm9emqdXotxG2U369pl3XXOn2S3vodTdcHalpPTRv2e3q3IY1NAGtrpFWOXSdTeiWAsCO5c4DGBJDmuh07dnrrzsYwhkCOCuCXS7T/7jJ2PKFdFc4EttsmaNHB+deu2uifjfK3O3VaFNo2jFe1PqsqK6dp3dL6i8bZ9OHaUN0o7q+NSecmUmBHlPna3TXSKueukym94k/okXxWiwogzXU7duy01p2NYQyDHBXAbO2WyEtFHy2MnwAzb+mmxQbnN7VbrR+WE7T7QttG2aWdrTcPau+mcxOOpq/QLo18PSrp3Cm0+eSl2NXv0p9rpFWOXSfTesWDsCM5v1NPJoA01+3YsdNbdzaGMQxyVACvamxqg5HajBBqf+7yyy/vFB2cH9DYdAUrtKtC28aMqFx+Xr4pnZtwNH2C9qi1MEwL/b5jIV7VZhk10irHrpNpveJByJH8rVev6UwAaa7bsWOnt+5sDGMY5KgAZmoDKs2Xnb20hSFt4fLo4HzPVYut15+0XqFtY5T2adrrNlxNH67NthbezIyfyes6j4y81ECrHLtOhvWKFyFH8j5t3ldMAGmu27Fjp7fubAxjGOSoAMoGao9u2rlmpHZ7ZUhbiA3OMV7TRoW2jWu0xWtfvn3kS1sC8qeI1fTe2hJrYbY2JJytyDG805rISw20yrHrZFivBBFOJGdoTxpRAaS5bseOnd66szmM6SRHBWD8MdK6juSx0B5i6hLAwi7a4tC2cYn25v+3d38vUURRHMD/wrM7Nm7RootpbaaCpf18iF5X6Qdi1JNEFNJDRD5EEGhiQQ8LRdRCgYRovzYSEjK2Um7t/GqvDxO7nLMzw/l+XmZ8ued472W+qzO727whQIUl9hImbL1Aa95PVRqRKNKmFzTtHZPoqnXrpGtW/kdmJT8UhhthADCPbW1s5rGzu4ystAbAo/1UmihSn9jn+VoB0LiZpztyNRyis7Uf769TzwZ7jbB1h+rezzUaYq/RvhN5/zdNoqvWrZOuWYkntJI7E85bEwYA89jWxmYeO6vLyExpACxTsfr3sOQ6/K/Lfa0B8PQQFSRuNoc1emjMe8jjIk1xl4ha749eJB3nrtG+Z1TxTxLoyto6qZqVeFIreYvmTRQAzGNbG5t37KwuIzelATBEy97xLp0RqvAvALYqRFN1yRoHg4c8XtMR3gItrY8HD8w+FriX0bbzVPVPEujK2jqpmpU4Yiu5mp9sXqODAGCeD2tj846dzWXkpzMAvhH53120Tq7QXeAoAOoDNMr+GQ12jXF67h2/kMP627S2foFWvOM9uspZoiP1XGnXP+t+V/bWSdOsxJFbyRVq/WgO5vmwNjbr2NlcRgE6A+Bnnvw3fb+jfqES4cV5e5hmpL54LKwxG7xQqvHew7Jan4uem37AWaMj8zQXnHW/K3vrpGlWYgiuZLXsKZFbLq9xz4e1sVnHzuQyStAZAGaMHnrH22J/84UX5wXBvyrDGqs07r0inuF9jNlq/RWVms9LbO1zv3PW6MhI9P7tBLqytk6aZiWG/EoG/wJiHtva2LxjZ3EZJSgNgCdUWNw1vxecfE2oQnhxHqWXuwGxGuY0VbbMr/lc72fO4e3WT9L0jmmcoxnOEh35Sk703bPd78reOumZlTjyKxkEAPfY1sZmHTuLyyhBaQCYGzlyDzvk3JcqEFycd/LRf0jLUjWM2ShSbtCh3mXO0fe0/rGPDpxy6WjyH5i4SJPReQJdWVsnPbMSowsrGQYA89jWxuYdO3vLKEJrAJg3lWO9Y5fWxcYPLs6fqBsBYDavDbqjV3jfCby39c3ZgZ6huW3WGh25HN0CMIl0ZW2d1MxKjC6sZBgA3GNbG5t37Mwtowi1AQAAoB0CAABAKQQAAIBSCAAAAKUQAAAASiEAAACUQgAAACiFAAAAUAoBAACgFAIAAEApBAAAgFIIAAAApRAAAABKIQAAAJRCAAAAKIUAAABQCgEAAKAUAgAAQCkEAACAUggAAACl/gDhUge3ZNA9gQAAAABJRU5ErkJggg==)
- For each combination of the variables we plot the \((x,y)\) values.
- It looks like
Girth
is a good predictor for Volume
.
- If we only are interested in the association between two (and not three or more) variables we use the usual
gf_point
function.
Simple linear regression
- We choose to use
x=Girth
as predictor for y=Volume
. When we only use one predictor we are doing simple regression.
- The simplest model to describe an association between response \(y\) and a predictor \(x\) is simple linear regression.
- I.e. ideally we see the picture \[y(x)=\alpha +\beta x\] where
- \(\alpha\) is called the
Intercept
- the line’s intercept with the \(y\)-axis, corresponding to the response for \(x=0\).
- \(\beta\) is called
Slope
- the line’s slope, corresponding to the change in response, when we increase the predictor by one unit.
gf_point(Volume ~ Girth, data = trees) %>% gf_lm()
## Warning: Using the `size` aesthetic with geom_line was deprecated in ggplot2 3.4.0.
## ℹ Please use the `linewidth` aesthetic instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was generated.
![](data:image/png;base64,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Model for linear regression
- Assume we have a sample with joint measurements \((x,y)\) of predictor and response.
- Ideally the model states that \[y(x)=\alpha +\beta x,\] but due to random variation there are deviations from the line.
- What we observe can then be described by \[y=\alpha + \beta x + \varepsilon, \] where \(\varepsilon\) is a random error, which causes deviations from the line.
- We will continue under the following fundamental assumption:
- The errors \(\varepsilon\) are normally distributed with mean zero and standard deviation \(\sigma\).
- We call \(\sigma\) the conditional standard deviation given \(x\), since it describes the variation in \(y\) around the regression line, when we know \(x\).
Least squares
- In summary, we have a model with 3 parameters:
- \((\alpha,\beta)\) which determine the line
- \(\sigma\) which is the standard deviation of the deviations from the line.
- How are these estimated, when we have a sample \((x_1,y_1),\ldots,(x_n,y_n)\) of pairs of \((x,y)\) values?
- To do this we focus on the errors \[\varepsilon_i=y_i-\alpha-\beta x_i\] which should be as close to 0 as possible in order to fit the data best possible.
- We will choose the line, which minimizes the sum of squares of the errors: \[\sum_{i=1}^n \varepsilon_i^2=\sum_{i=1}^n(y_i-\alpha-\beta x_i)^2.\]
- If we set the partial derivatives to zero we obtain two linear equations for the unknowns \((\alpha,\beta)\), where the solution \((a,b)\) is given by: \[b=\frac{\sum_{i=1}^n(x_i-\bar{x})(y_i-\bar{y})}{\sum_{i=1}^n(x_i-\bar{x})^2} \quad \mbox{ and } \quad a=\bar{y}-b\bar{x}\]
The prediction equation and residuals
- The equation given by the estimates \((\hat{\alpha},\hat{\beta})=(a,b)\), \[\hat{y}=a+bx\] is called the regression equation or the prediction equation, since it can be used to predict \(y\) for any value of \(x\).
- Note: The prediction equation is determined by the current sample. I.e. there is an uncertainty attached to it. A new sample would without any doubt give a different prediction equation.
- Our best estimate of the errors is \[e_i=y_i-\hat{y}=y_i-a-bx_i, \] i.e. the vertical deviations from the prediction line.
- These quantities are called residuals.
- We have that
- The prediction line passes through the point \((\bar{x},\bar{y})\).
- The sum of the residuals is zero.
Estimation of conditional standard deviation
To estimate \(\sigma\) we need the Sum of Squared Errors \[
SSE=\sum_{i=1}^n e_i^2=\sum_{i=1}^n(y_i-\hat{y}_i)^2,
\] which is the squared distance between the model and data.
We then estimate \(\sigma\) by the quantity \[
s=\sqrt{\frac{SSE}{n-2}}
\]
Instead of \(n\) we divide \(SSE\) with the degrees of freedom \(df=n-2\). Theory shows, that this is reasonable.
The degrees of freedom \(df\) are determined as the sample size minus the number of parameters in the regression equation.
In the current setup we have 2 parameters: \((\alpha,\beta)\).
Example in R
model <- lm(Volume ~ Girth, data = trees)
summary(model)
##
## Call:
## lm(formula = Volume ~ Girth, data = trees)
##
## Residuals:
## Min 1Q Median 3Q Max
## -8.065 -3.107 0.152 3.495 9.587
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -36.9435 3.3651 -10.98 7.62e-12 ***
## Girth 5.0659 0.2474 20.48 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 4.252 on 29 degrees of freedom
## Multiple R-squared: 0.9353, Adjusted R-squared: 0.9331
## F-statistic: 419.4 on 1 and 29 DF, p-value: < 2.2e-16
- The estimated residuals vary from -8.065 to 9.578 with median 0.152.
- The estimate of
Intercept
is \(a=-36.9435\)
- The estimate of slope of
Girth
is \(b=5.0659\)
- The estimate of the conditional standard deviation (called residual standard error in R) is \(s=4.252\) with \(31-2=29\) degrees of freedom.
Test for independence
- We consider the regression model \[y=\alpha+\beta x+\varepsilon\] where we use a sample to obtain estimates \((a,b)\) of \((\alpha,\beta)\), the estimate \(s\) of \(\sigma\) and the degrees of freedom \(df=n-2\).
- We are going to test \[H_0:\, \beta=0 \quad \mbox{ against } \quad H_a:\, \beta\not=0\]
- The null hypothesis specifies, that \(y\) doesn’t depend linearly on \(x\).
- Observed values of \(b\) far away from zero are critical for the null-hypothesis?
- It can be shown that \(b\) has standard error \[se_b=\frac{s}{\sqrt{\sum_{i=1}^n(x_i-\bar{x})^2}}\] with \(df=n-2\) degrees of freedom.
- So, we want to use the test statistic \[t_\text{obs}=\frac{b}{se_b}\] which has to be evaluated in a t-distribution with \(df\) degrees of freedom.
Example
- Recall the summary of our example:
##
## Call:
## lm(formula = Volume ~ Girth, data = trees)
##
## Residuals:
## Min 1Q Median 3Q Max
## -8.065 -3.107 0.152 3.495 9.587
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -36.9435 3.3651 -10.98 7.62e-12 ***
## Girth 5.0659 0.2474 20.48 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 4.252 on 29 degrees of freedom
## Multiple R-squared: 0.9353, Adjusted R-squared: 0.9331
## F-statistic: 419.4 on 1 and 29 DF, p-value: < 2.2e-16
- As we noted previously \(b=5.0659\) and \(s=4.252\) with \(df=29\) degrees of freedom.
- In the second column(
Std. Error
) of the Coefficients
table we find \(se_b=0.2474\).
- The observed t-score (test statistic) is then \[t_\text{obs}=\frac{b}{se_b}=\frac{5.0659}{0.2474}=20.48\] which also can be found in the third column(
t value
).
- The corresponding p-value is found in the usual way by using the t-distribution with 29 degrees of freedom.
- In the fourth column(
Pr(>|t|)
) we see that the p-value is less than \(2\times 10^{-16}\). This is no surprise since the t-score was way above 3.
Confidence interval for slope
When we have both the standard error and the reference distribution, we can construct a confidence interval in the usual way: \[b\pm t_{crit} se_b, \] where the t-score is determined by the confidence level and we find this value using qdist
in R.
In our example we have 29 degrees of freedom and with a confidence level of \(95\%\) we get \(t_{crit} =\) qdist("t", 0.975, df = 29)
= 2.045.
If you are lazy (like most statisticians are):
## 2.5 % 97.5 %
## (Intercept) -43.825953 -30.060965
## Girth 4.559914 5.571799
- i.e. \((4.56, 5.57)\) is a \(95\%\) confidence interval for the slope of
Girth
.
Correlation
- The estimated slope \(b\) in a linear regression doesn’t say anything about the strength of association between \(y\) and \(x\).
Girth
was measured in inches, but if we rather measured it in kilometers the slope is much larger: An increase of 1km in Girth
yield an enormous increase in Volume
.
- Let \(s_y\) and \(s_x\) denote the sample standard deviation of \(y\) and \(x\), respectively.
- The corresponding t-scores \[y_t=\frac{y}{s_y} \quad \mbox{ and } \quad x_t=\frac{x}{s_x}\] are independent of the chosen measurement scale.
- The corresponding prediction equation is then \[\hat{y}_t=\frac{a}{s_y}+\frac{s_x}{s_y}b x_t\]
- i.e. the standardized regression coefficient (slope) is \[r=\frac{s_x}{s_y}b\] which also is called the (sample) correlation between \(y\) and \(x\).
- It can be shown that:
- \(-1\leq r\leq 1\)
- The absolute value of \(r\) measures the (linear) strength of dependence between \(y\) and \(x\).
- When \(r=1\) all the points are on the prediction line, which has positive slope.
- When \(r=-1\) all the points are on the prediction line, which has negative slope.
- To calculate the sample correlation in R:
## Girth Height Volume
## Girth 1.0000000 0.5192801 0.9671194
## Height 0.5192801 1.0000000 0.5982497
## Volume 0.9671194 0.5982497 1.0000000
- There is a strong positive correlation between
Volume
and Girth
(r=0.967).
- Note, calling
cor
on a data.frame
(like trees
) only works when all columns are numeric. Otherwise the relevant numeric columns should be extracted like this:
cor(trees[,c("Height", "Girth", "Volume")])
which produces the same output as above.
- Alternatively, one can calculate the correlation between two variables of interest like:
cor(trees$Height, trees$Volume)
## [1] 0.5982497
R-squared: Reduction in prediction error
R-squared: Reduction in prediction error
- We want to compare two different models used to predict the response \(y\).
- Model 1: We do not use the knowledge of \(x\), and use \(\bar{y}\) to predict any \(y\)-measurement. The corresponding prediction error is defined as \[TSS=\sum_{i=1}^n(y_i-\bar{y})^2\] and is called the Total Sum of Squares.
- Model 2: We use the prediction equation \(\hat{y}=a+bx\) to predict \(y_i\). The corresponding prediction error is then the Sum of Squared Errors \[SSE=\sum_{i=1}^n(y_i-\hat{y}_i)^2.\]
- We then define \[ r^2=\frac{TSS-SSE}{TSS} \] which can be interpreted as the relative reduction in the prediction error, when we include \(x\) as explanatory variable.
- This is also called the fraction of explained variation, coefficient of determination or simply r-squared.
- For example if \(r^2 = 0.65\), the interpretation is that \(x\) explains about \(65\%\) of the variation in \(y\), whereas the rest is due to other sources of random variation.
Graphical illustration of sums of squares
## Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
## ℹ Please use `linewidth` instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was generated.
## `geom_smooth()` using formula = 'y ~ x'
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- Note the data points are the same in both plots. Only the prediction rule changes.
- The error of using Rule 1 is the total sum of squares \(E_1 = TSS = \sum_{i=1}^n(y_i-\bar{y})^2\).
- The error of using Rule 2 is the residual sum of squares (sum of squared errors) \(E_2 = SSE = \sum_{i=1}^n(y_i-\hat{y}_i)^2\).
\(r^2\): Reduction in prediction error
- For the simple linear regression we have that \[r^2=\frac{TSS-SSE}{TSS}\] is equal to the square of the correlation between \(y\) and \(x\), so it makes sense to denote it \(r^2\).
- Towards the bottom of the output below we can read off the value \(r^2=0.9353=93.53\%\), which is a large fraction of explained variation.
##
## Call:
## lm(formula = Volume ~ Girth, data = trees)
##
## Residuals:
## Min 1Q Median 3Q Max
## -8.065 -3.107 0.152 3.495 9.587
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -36.9435 3.3651 -10.98 7.62e-12 ***
## Girth 5.0659 0.2474 20.48 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 4.252 on 29 degrees of freedom
## Multiple R-squared: 0.9353, Adjusted R-squared: 0.9331
## F-statistic: 419.4 on 1 and 29 DF, p-value: < 2.2e-16
Introduction to multiple regression model
Multiple regression model
- We look at data set containing measurements from the 67 counties of Florida.
- Our focus is on
- The response \(y\):
Crime
which is the crime rate
- The predictor \(x_1\):
Education
which is proportion of the population with high school exam
- The predictor \(x_2\):
Urbanisation
which is proportion of the population living in urban areas
Example
FL <- read.delim("https://asta.math.aau.dk/datasets?file=fl-crime.txt")
head(FL, n = 3)
## Crime Education Urbanisation
## 1 104 82.7 73.2
## 2 20 64.1 21.5
## 3 64 74.7 85.0
library(mosaic)
splom(FL) # Scatter PLOt Matrix
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Correlations
- There is significant (p\(\approx7\times 10^{-5}\)) positive correlation (r=0.47) between
Crime
and Education
- Then there is also significant positive correlation (r=0.68) between
Crime
and Urbanisation
## Crime Education Urbanisation
## Crime 1.0000000 0.4669119 0.6773678
## Education 0.4669119 1.0000000 0.7907190
## Urbanisation 0.6773678 0.7907190 1.0000000
cor.test(~ Crime + Education, data = FL)
##
## Pearson's product-moment correlation
##
## data: Crime and Education
## t = 4.2569, df = 65, p-value = 6.806e-05
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
## 0.2553414 0.6358104
## sample estimates:
## cor
## 0.4669119
Several predictors
- Both
Education
(\(x_1\)) and Urbanisation
(\(x_2\)) are pretty good predictors for Crime
(\(y\)).
- We therefore want to consider the model \[y=\alpha + \beta_1x_1 + \beta_2x_2 + \epsilon\]
- The errors \(\epsilon\) are random noise with mean zero and standard deviation \(\sigma\).
- The graph for the mean response is in other words a 2-dimensional plane in a 3-dimensional space.
- We determine estimates \((a,b_1,b_2)\) for \((\alpha,\beta_1,\beta_2)\) via the least squares method, i.e deviations from the plane.
Example
model <- lm(Crime ~ Education + Urbanisation, data = FL)
summary(model)
##
## Call:
## lm(formula = Crime ~ Education + Urbanisation, data = FL)
##
## Residuals:
## Min 1Q Median 3Q Max
## -34.693 -15.742 -6.226 15.812 50.678
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 59.1181 28.3653 2.084 0.0411 *
## Education -0.5834 0.4725 -1.235 0.2214
## Urbanisation 0.6825 0.1232 5.539 6.11e-07 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 20.82 on 64 degrees of freedom
## Multiple R-squared: 0.4714, Adjusted R-squared: 0.4549
## F-statistic: 28.54 on 2 and 64 DF, p-value: 1.379e-09
- From the output we find the prediction equation \[ \widehat y = 59 - 0.58x_1 + 0.68x_2 \]
- Not exactly what we expected based on the correlation.
- Now there appears to be a negative association between \(y\) and \(x_1\) (Simpsons Paradox)!
- We can also find the standard error (0.4725) and the corresponding t-score (-1.235) for the the slope of
Education
- This yields a p-value of 22%, i.e. the slope is not significantly different from zero.
Simpsons paradox
- The example illustrates Simpson’s paradox.
- When considered alone
Education
is a good predictor for Crime
(with positive correlation).
- When we add
Urbanisation
, then Education
has a negative effect on Crime
(but not significant).
![](data:image/png;base64,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)
- A possible explanation is illustrated by the graph above.
Urbanisation
has positive effect on both Education
and Crime
.
- For a given level of
urbanisation
there is a (non-significant) negative association between Education
and Crime
.
- Viewed alone
Education
is a good predictor for Crime
. If Education
has a large value, then this indicates a large value of Urbanisation
and thereby a large value of Crime
.