A researcher is interested in the effects of family size on delinquency for a group of
offenders and examines families with one to four children. She obtains a sample of
16 families, four of each size, and identifies the number of arrests per child for
delinquency. The data are as follows:
![](data:image/png;base64, /9j/4AAQSkZJRgABAgAAZABkAAD/7AARRHVja3kAAQAEAAAAZAAA/+4ADkFkb2JlAGTAAAAAAf/bAIQAAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQICAgICAgICAgICAwMDAwMDAwMDAwEBAQEBAQECAQECAgIBAgIDAwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMDAwMD/8AAEQgAXgFnAwERAAIRAQMRAf/EAJ8AAQACAQUBAQAAAAAAAAAAAAAHCAkCBAUGCgMBAQEAAgMBAQAAAAAAAAAAAAAABAUCAwYBBxAAAAUEAAQFAwIFBQEAAAAAAwQFBgcAAQIIERUXCRMUWJnZEhYYITFBIiMkGVFhJSYnMhEAAgICAgICAQQABAUCBwEAAgMBBAAFERITBiEUFTEiIwdBUTMWYXEyQiUkNPCBsVJiQyYY/9oADAMBAAIRAxEAPwD38UximMUxlUN1NknPqXr865ya8GuqfRWiMQGW2s2XiwmKC3WxmLnmuvt0OB9LRAUNrtkkFfIcBDT3AvGBxQQyyaNhkMMB7UB1zf6jRrgRDabmhRJxzMAiLtxFTySIibGHEu5UoREGMgQc+qoisLj7SynV+r7v2RpjJ6fSXdgCP3QdoqaDf9dZwBLXJCBMY1pCIIW0li+xCar7VhiWzCwFvwxtkHiJfjf9MbZY2yvxy/T9Lcf3rFxLRBm0oFQczJTPEREfrMzPxERHzMz+mZ12S9INiOJMYnj9f1iJ4/45jeY+7U4TiUXZg1s1QTZe1Jb559pCVJJ2fkpiTpO52PDziRVZc1fg9TjdUi99R64XMi4JzfWnrKMc86yxMnAy2CXZOUFXTaOzrtGnebJBgNqkNtSAkW2RrOCGVHWAGYBUWUku5CVMsWlUmr8teNj5NauW5P8A5ixoqjFHfpWzqWSZMqSq5XcaL1SDkSKX0nLZVf3WtA3lsrk8VrZYHv2ve5ixOk9OuFlGCHXGBFA1d1r2WRHs6Hc01PF6FNgzEhEzbdR2q3hj60iFY8VGAOnGja3dLUDqjgZsGmBkwix09ZPrAnab3WQ1bJ0u0XUgwnuNgGxZkLIEPICpkVpJUQbCIDgj8Ux1nUiDsep+ue2Qm0hPsFW4wk2FeB9F9ONaTaNlRFLIuKHZKmyHSEJKQWt9hv2Aq7vbLaWXNX462fl0jqy4JcjjX7XEKbG2tNqWo2bSlJruTDD9MyFHQqE7jSaaZCRGjRbKYun18XNQzPkVQUBLTT6gT8kZ5jZ7g9Vr7ewtJ6rRYrguZP8AaxTRLzPKREjWNc4BfSFsY0mQQjACZD1/q3qyPat7p/XqVr/yW0suQa4VMkpkFWCkpcma1ObfNzlr7trormiJtWFLdDAs6beqiHFw0iI7KXngrWYt3imR61zzcwcrkP5IPOSjRQFJ4LLPamKwqD3xKFhlI+mkfGzxyHGAD+rPG89qgvWj2AAJWSoscPxwHfxEQyXzJdY4HsUR3KB5gBYXAlxnq7E+xK177DF0kXgSRGzuYJhoiUyUrAjIQ7fMivmePgYyMdQp+E2q1cgLZIZljRyNOEUsyTBWEYXQnOYZ4jtRiqtm3R3EAlogK0Mk5GLg5GcChfEXLG+VsMbX4VvekVCgwMWA+nWfEjzxxZrqsREcxEzA+TrBTAyUR2kR56xLvVn6/b7DUWltTZ1+0vUjBkBDIKlbdULyCs2gBzKZIwBrQApkBa2IhhWNrRkfFMYpjIEnd7T+1kcmX1xhRizO+hQzimdTZWmVdgOPyaIQwxDyKBv9uQvPaube6ueMBYpybZv4EBC4RoY4pEfDLBnIdp9pK2OQnzLSvsQwXVpzIskAQJRC2HMrkS7tUK+y5Iv3xGT6qNexZfdsEmwcwKYFcsGSg1+Q7BQYyhAKIigxB7mt6LVXNf2X1d7rhOaFslB8dzggN5xs8g/EQU8aaDxDTAnSzl1LUjyA6Wk4boqksIYyq13KkmyA4xE4bIj5l7ilxhQc8BMpZv1zKNXc6+wL9Df1tPYVn8SEMpX6ib1VxCXyuTqvUZgU8rKZGZnrznP6vYRslvjr0t1NhdovCJ7QFvXXH0LixPiPIC7VZwAyIgWiIsGOpRlSGPu1OE4lF2YNbNUE2XtSW+efaQlSSdn5KYk6Tudjw84kVWXNX4PU43VIvfUeuFzIuCc31p6yjHPOssTJwMtgl2TlBV02js67Rp3myQYDapDbUgJFtkazghlR1gBmAVFlJLuQlTLFpVJq/LXjY+TWrt3J/wDMWNFUYo79K2dSyTJlSVXK7jReqQciRS+k5bKr+61oG8tlcnitbLA9+173MWJ0np1wsowQ64wIoGruteyyI9nQ7mmp4vQpsGYkImbbqO1W8MfWkQrHiowB040bW7pagdUcDNg0wMmEWOnrJ9YE7Te6yGrZOl2i6kGE9xsA2LMhZAh5AVMitJKiDYRAcEfimOs6kQdj1P1z2yE2kJ9gq3GEmwrwPovpxrSbRsqIpZFxQ7JU2Q6QhJSC1vsN+wFXd7ZbSy5q/HWz8ukdWXBLkca/a4hTY21ptS1GzaUpNdyYYfpmQo6FQncaTTTISI0aLZTF0+vi5qGZ8iqCgJaafUCfkjPMbPcHqtfb2FpPVaLFcFzJ/tYpol5nlIiRrGucAvpC2MaTIIRgBMh6/wBW9WR7VvdP69Stf+S2llyDXCpklMgqwUlLkzWpzb5uctfdtdFc0RNqwpboYFnTb1UQ4uGkRHZS88FazFu8UyPWuebmDlch/JB5yUaKApPBZZ7UxWFQe+JQsMpH00j42eOQ4wAf1Z43ntUF60ewABKyVFjh+OA7+IiGS+ZLrHA9iiO5QPMALC4EuM9XYn2JWvfYYuki8CSI2dzBMNESmSlYEZCHb5kV8zx8DGRjqFPwm1WrkBbJDMsaORpwilmSYKwjC6E5zDPEdqMVVs26O4gEtEBWhknIxcHIzgUL4i5Y3ythja/Ct70ioUGBiwH06z4keeOLNdViIjmImYHydYKYGSiO0iPPWJd6s/X7fYai0tqbOv2l6kYMgIZBUrbqheQVm0AOZTJGANaAFMgLWxEMKxtaMj4pjFMYpjKZ7Y7Bz9ATfcL+i7WVJmuOovZpqRpeVViasIzd5trpnMjy03NemQnRjJ2cvyykICGYM5JDiPR8iGxzyYUJrZkcdQslSddW+7tqFF7UpqXdnWpSc+QmJmy+sgbJKFfU6wzYKS8bitTNdojVLlMttla6tZ13Ne0mN+wz8aWyKKwrWsillu80hTVhjOi1TItUADZsXm0krrlbtG6Hq12OynDIj0WSTTZbRbCs83W4XELZKT202EFKHW1xYXBjfh2TiaOllRRjOQn0+DgHlfLhwvVZtrlbS1X3bxxFasJEZD+/mB5/6OvMnJfoEDzJzMQMTMxGQdHSv+xWqmv1VdzNneYpaU9Z8pNdIitXT9YZJFA9f/u+Mx2I28Oy67E6jtEnaNHTWryoyC79jULCd08lt84mopYJQyO+HxrWuRejRrHrGNIpoyvjhASkuvQq3QwL5NvJcGGQSnQfhrtHe0/W/YoClt7F2tVfEGDl69thwKYF5wFC+1TsS7R0yuVhsjIrsMpQewDnLm+pnorXsvrMHuNPXputJmqMk3ZJVXJwzqlcTNorRRA0gcVUrQFBhww0pbY7XbZhXnaS9tY5WYhX4pH1enBJiAoacbraTkPSUkrURx1K6TI5QizDq0ltZDXyEgB8vIjqJpT8kGEMeCTzYoycVodW/wDJab8sUeJsbC1VJU/JLKsNc+TKIgexRYjkQkwHj4aczMD2G91k6a7SrgcPqXtLX2CnjECsxfav1DBcSUskUuoNWRtBJG2GeNRVxTZsRtsdt9LmuCA7Xeu6oOBys0js/rbAzHdKNMEbFyDlj+enDEzIV54cyafFCcjNRGBIsiHEDFALEVtcVjqcXMYhlUw6KfIa6lk3X9br7YeB2x3X0eZnuK1GShRY/ZEyRWCM4FHAwvxTLnLgg5lr0qLVW7Y1tj7DaPrNvaEuFyBk+ku9YsUhlhCvhNOou2yzLIiVONddNm0ka7pi3G2CVtUtWp42RRYocc3HoSjJ1yTeM2q4Gu1VVxEmmlGFdTuI4ncfJJKMjpScVFOKBgPA+fDIlxrkiCgc8AkPE3m1/C0JvyvuuGAJTJdRATKBkzmIIuo8/wDYBlzMcxA9jHb6f66XtnslT1xbZU+42FL4DyGxhfC0qCSWBOcfVSoa1KpYQ+V6g5MZ5bKz9xttvuHy3k+eoaSs+U8bzHleaEC57y3mPCA8fwPH+n6/ow+rhx+m3HhXT7aj+L2lnW9u/wBewxXbjr28ZyHbjmeOeOeOZ4/Tmf1zitTe/Kaqts+nj+zXW3rz26+QIPrzxHPHPHPEc/rxH6ZzlV+WGKYxTGfIYYEsCKYMChAFwAhBhxxhMQgQQQsb5iiii53xwDCDwxvfLK97Wta3G9a3OTWSdiwYrrrGSIimBERGOSIiniIiIiZmZniI+ZzNSmOYKUiRuMoERGJmSmZ4iIiPmZmfiIj5mcrXrXsiV2P63GCLHW2SnxFN61ECbm4T5EwpPRMTGSwnomv/ABTCGOdm0mOki+AxiCeZGFUAyNgRDuBM4IOnlLCabA0mu2zoNb767ZEkx6mg6mzv60lH8/J9qMmccD4yOVfv8fkOpTtK9j2Ha6OqaXo1jKQQ9RES3fb1dHZTIdlhEiqbs14Ysmpf4fsIaaWrnIqkvbOTlGcndrVqLCTMnmV4mb7Pdk6L8szYpwBB8TkJAKKpxjshQkBow3sU+l+aXUmp+KuXb5Nn5ECbezseUlUhmaSSqpDpLs3qlnaLFYaata+pDTOO1i2K1uemusIMiiml1crbn+BUHaQmsVpo3Ap29yE0GValgp/K2632gTA/uGlLrNZdxpFIwKX26lqrW6eQ2tqW+RAUSRdOO76PlIk6C40ceo8mNEaWttXfqm5HK5pAivBDj482IAW50Q36CC3XE5Fx8IcqFEMbBsgkCgfBLDEMrgyGp4YoYnqZTY2GrqLKRVs9fsbMeSIhqSoHdH6rlLJojYIKcNZMNlAresq77YSJm1yLN3TewbFimBb9ffrgYEDPhspvu1iJvVXs8PloofswqScK+2V5Ta501Aq0+tdKQHTIzcWouJMWK85HRnU/RG/Ji2G9m+0s4nYuDKeC5hIWCWuBZDvzMV4IqShWSCOYJu11rzt87AFBrXjy1o2wVKimnKLBkwZHkWLVJoVAFI9pssiFQfYQVM92T1ickKRVOjZex8BeV4PCqQKYd5LKVO5ZHMKivWN1r9wl5fB4AjyMCciHTvZRW2qilwSQvRIuwest2bJ7hpTjl0OprPFxpByD5dd8VjG1xYZBpTZ+Cqs5tXzY5RMUFYiSEGuACoHsMLGRMqLRu6PX7kZH/wBdWNsjHaYXIWX1yDsQhJ8SiZkugxzMwPYYgykewas9D7Jd9fOZYNT6hA3iBh6rmup7FTgCCKQWxVwJULJF3j6k9NZxMrJ+OumzStPEmbcxwsRA44nMatTomQ0WMOhzNdePySmK8SR1KyXI5Ig0TSumNlBXyEgB8uJjKJtRyJBhDHQiBsUZOKYap/5PSRt5jxs/IWqpKmeSCaw1y5Mo4HscPjkQkwGIiRazt+33fastJsKlKCl1e3pq18HQPVZw+zerGComfIQobRYpjGAmSeLQBZJWqw+2NSMqsUximMUximMUximMx6d1FyDomic+oiaxpfkZySIzz8eNJpwnCktTq71BxuAsOISyMtaHmY9l5HQQACIuZlVOly6YWytgFmPYYcuELhWvhrvZ/XrjFuNFf2jSWWyASULrVNvRs2nHM8DAorLa6Q58rYXK663PIFHC32nubv0j2ahQlM3G+r7ZKwNqlE11qg+nXUqGGMsYyxYUPUO3jXJ2G+Oslzl3UQFZLkqOkpaSwXIlo75aBY6RAdjOdbBdhAg4EnHMANwMR/IraejSXCwBq1jCYrp5FQJjWyCMABCY5YWx9o0p2a9/1+wxcG1TkEajW8I8gkEkDFGSmRHbmJA5Ev8AAsmev3SolTvCEyyuay6lBBySijmJgoieJkfguOCjghmRmJnD/wBveVl3RrW2ItAp9gHanCW9cS2cFMF0Rhq/OUzwzPzEQVs+jxDLDfnmJmS9IOi0pILa8lkrEH+5Gkbail5nmuBRNwBUBrP8kftVenZQuE+xr1VNV6q0pQtF2rrq8WVouWgrVrtY5CWVLNcz8omNVoK2S7FJWoNJW9bu2aKrS3+vuvWbdayIsMhq3rb7K0WUrArEXKIt+rc8aPHYambVITrPTEVQ7iDHSpimXuBKUg6z7Hvx4JPaVYLDilPZut23svxEZ2kLvueHagEoyXGhEOcTS3LEYO+TGWfQHKUKmldqZiqBsiOmYlHDctwtzXXF099vtJ2jeo3GpnWvj+KyuwlV9bbdODkXIJYESZvLgJFFhiPMKbbVt+y+uWfV7R+i6D2/6rfTx3m8tbatY8TVHqLP+3hhOwUBOUz7KNZfk9XJPJjko6Kew9c1uifHgI9T/cUcrY152/NL059kuKowS1P8DNxSq7Ik15g7Ip2EfG1AWBsDC/JKMXnFrgnCIoop1OBGNePYIJIVbkZHt+tS4PeEaJAQnbbrXWK8LCFjY8amoJ3HA/IJKmkiOIIFKFZcDWMVQv6g2Gs09z+p9r7A1KdlqNpsbGwawgJtekhujcAPOJIv9bV7ttWr2JthhiyqppbaiV2wcsJ8bSLM0DO7b3VGdNg9SHBqLG6fr4iqOnk7TWlQrs6VdK/lJy3LWtKbFq/LUMy24GSca4DXeriahTFtFElaJhKaKIomglbqPY7S7m69qp1xON7eamxrLQxHBVTC13VUvAqJ1dkLD0Oug+5VO5BUZBZs0z5rfI6ka1P9YaCraR2GkV1e2QaybLYitSVVhlGYZOxrLivtFgCa1iCKz8i5dusWXV7TBFVQu2/p0znAzZIj5yx7BzLjl0MyWY+kKM3y3nKxU0NsricqtqT0JvOoYIFRTRPLqNwRSaoB9BsoYMlxQx89z2E6nr3HIyydTQEoiIHqxVNKGjK4gZXItUcQEiH7YEhHxkBT0Hs468Pd/ZA1MmWo/wBz7g65kw3+Ss7ZWX1mRYM2zZ712qKXeZsmUlBsJsHxkRqLlTimMUxlNtttpU3X8szmpkytjVxYlEdUTg3pB+pWzOziNGKGnFrCLTqddte4jlO6SsXwGwLIRA4FYRQUxw88w/IAHjAEJql7JrdSxjEV/r92sgD7Esi8fgrH1lf22x3kTOfFUUB2Wi5kVaN71j7FAE3K9cbTjs+MQkw8a5gCZL7Q+QGzVCRFfjREusuapAShM2r1GS4I+wHLr+0UiMWpILAjbFpDs9nocmx2+4rfZRvJYJhulVBbj6VEVsySgGz2JfIxbBeTiCmYtnYcYK3i2yy2+w6gb2qdpetapWsUPCtdaE+Gsg0+JClLQUpUtKPHC6wEP1lwNdgJas1Lx0W08F+NkuXvei8TDY8GLOw+G+V7S8gLM5ZYlnZ8BC3n2cgmoNTWYxu3vKy7o1rbEWgU+wDtThLeuJbOCmC6Iw1fnKZ4Zn5iIK2fR4hlhvzzEzJekHRaUkFteSyViD/cjSNtRS8zzXAom4AqA1t+SP2qvTsoXCfY16qmq9VaUoWi7V11eLK0XLQVq12schLKlmuZ+UTGq0FbJdikrUGkret3bNFVpb/X3XrNutZEWGQ1b1t9laLKVgViLlEW/VueNHjsNTNqkJ1npiKodxBjpUxTL3AlKQdZ9j348EntKsFhxSns3W7b2X4iM7SF33PDtQCUZLjQiHOJpbliMHfJjLPoDlKFTSu1MxVA2RHTMSjhuW4W5rri6e+32k7RvUbjUzrXx/FZXYSq+ttunByLkEsCJM3lwEiiwxHmFNtq2/ZfXLPq9o/RdB7f9Vvp47zeWttWseJqj1Fn/bwwnYKAnKZ9lGsvyerknkxyUdFPYeua3RPjwEep/uKOVsa87fml6c+yXFUYJan+Bm4pVdkSa8wdkU7CPjagLA2BhfklGLzi1wThEUUU6nAjGvHsEEkKtyMj2/WpcHvCNEgITtt1rrFeFhCxseNTUE7jgfkElTSRHEEClCsuBrGKoX9QbDWae5/U+19galOy1G02NjYNYQE2vSQ3RuAHnEkX+tq922rV7E2wwxZVU0ttRK7YOWE+NpFmaBndt7qjOmwepDg1FjdP18RVHTydprSoV2dKulfyk5blrWlNi1flqGZbcDJONcBrvVxNQpi2iiStEwlNFEUTQSt1Hsdpdzde1U64nG9vNTY1loYjgqpha7qqXgVE6uyFh6HXQfcqncgqMgs2aZ81vkdSNan+sNBVtI7DSK6vbINZNlsRWpKqwyjMMnY1lxX2iwBNaxBFZ+Rcu3WLKSazQTDb6cPZqZM66Z7FqBpp9v8Am3WqehpA0m20SGwSWBzcNNqO4n2YeqvEac0XHHhVZaD1PppB4nzzYKnsirgDxDzNpCmL768dkfZC2dfwqdHqeqIWECk9NprW6yyDUywQhN6oVBh1HL8b1sUoKpw1qAZ9G992mn12l31Ok1zq5/2pbOh0Y29YDV259gU9ouWdixFW5Ow0gXnkyV3FdztsdXo3zry2mavtBX3XlOS9zC28i3N7OmHYJUbKSxtDo0l/WiZNOXCjSKcaEUHNoo+0MfUovOGbwO8R0NXiRzymEpnncnCFElCNmRG/5vlvX9dSrenbJ9Gu2Nyyps426bZs72bjWkpdnkYR+YBkzrrenBP5AtVXVRqvGsvSWVUqXfDFz2zXB6oa9chJ6EtXZUVYW0X1l0gsEmxbl34NrbqLy79pBa+Co3rbF2FJ2DzLge2dH7Yg2QO02Gh647URy9lPQyd4n2Nd7w1N3GSeVvDJ4Qsdi2M5lk+QIsxSWe1WetMV8XZqKtKhJvNdLFCwRwSSaqpWJzpdVUs6/bWqEkAVbfqurbZmGLkLG1Qihy57YORsXkUws1BawzelIDrQIRFNaJ/vJenWw3e91Ka0uL+yLc6mVI6sRoXlviYuukVwylr3ttaF7K/jQprxm0aydUvNT6hK8zjsUxmLTuUJUZz4yT2qahnvS35uWkG74gd96rMjdxnNdry6EXXQIsXXRslCrXT9ZEoy2HmlAqHK5EcmKMmDhFFA6WB4kzNVzo9jJ07H0ZtRHu1AWFTO/wARr4dCxbMW1PBibNRi4lFoVIs2G1mWqdRbbLprsmKt6zXwA+wg1vr9hixeNcCbYlZslP8AHCYNizEi8g+TqgCFdi1EVl+QbKbTa7OXZ3RyeNWFt4FU15TjrQ/YWU33kRsKQKup8R0oNI05xE4uGX+ojisn7mcwg8ML+FxxxxtfhasffkM2dS+fqiV+cbH2KSXHKwIkPGzWQ1kQ0lgZLBTGwLSWJScCyR6lp9HbGpjXj7PLXiNcE3CUQw04Ynw2TURxI+SYIyXJjI9+O0ccxlddYdy3OLGEUQZIuqu08dbbtxkN9gu2MFvXicBoLJPtpN4snKqkR3Yb0dOfUc5FqgEm5qhJXAeBlQFThMClk7NfvZFy7Xc3NZ7Tv7+89cYz8O+250xbCab0CVmVtWabMKKw2uZSPNH7KbYBNqiyxSILE0+k0rPVNdW9a3VpNqdchdf7dJbGJuCpIwuxVSUw1I2ogZBF0q51WH4rrEwtjYxS7ON9tqEpdwebxNa9w3fLDf7h/bqdcFOFD063eeuRFvRAk60t+YpJ15IJ8Qn2uDmG2oykJFXHk1S4YzgRMCSeaUDZBQQADXBet1D1rNP7EofDaP3K5JtmOtkNQ9euG6tgfNhFS6sJGzXkQDYTXUDF2CqphX1reFptvRr6fefTs1qH9XX1EnutyY3h2fZreohRfC33atvZah9Vw9ma1jXt7VJTspV3Cb3KCWL9zi7T1321uBIHch7dUrtsJqaDbjGMpBb8dDabnpbkJslUOABRXqnoRnX92iKakSxNYiCky17iZ5KqT57RoKUapOorQqE16v8AYT75iA8CFdjaz3WeAjjhr1W3EQ8k5pyz9x2FyyRNvUS/7imV4tM/p/Z1HnyEGy/eT7JXoVjn4JtuK+40qCT+51NMGqyKA1V8ae+7h8ZNeUlDuNp2xmn867ByRJetywB20JJbuqsz7AoMeoCrrGZSTsfx8vx0wHcZ1Dm8zsBgsH3GbXsGgpOYkpohfJRUgEwAik47UbbPVtppaSiV7rX2zzYyBCZs0yGt9aa99ahS+gCk2UFqptPOLP3rE1pTuVTar/WrnqLvdvRtjtxmPSYPXjcgvKBKufmmNdZajtD6jhqu1pI2QhXilFPyzYqOovcMrQrGEBSx3M1KQFjVSYwDDk0Y04XEJ/SbpntBFsTKexsPPSRpCJuGRF5/RIz4yOz1FjRMMwFEVHFkI5m5YIyipw5Uzipp9+xNl2Np7lsvXjRXsO2S7VBxQtZj56uyp221iMfMEvXsoRcBEQ2zWfYBy2oXZhfFNu1K/wDXPofr248rdmI7erbFYk4l1PHpTp1bTFwYrqfZ1+4fXRZMao2fFYgYbe17LOOU5p6hGdcNynJPTQ7gkqb6LWmuxUVz5Fix272M4IUnGWVUikoMfvNInCANAG6p7jBEJfQWsvRmeOSK9Xe0U4TmJwFMDJOEQlw86uhX/q46/pVWwmg6prwirbYyL1XZy4XOY1fKIt7RTw2IXPYRRYq2ofatTsWFtazrX0b1q5qP/wDQWv39861L1at7RZsywRrtBnrrBsy3WnZfFm2vWu1TVrsaNdhRXLdKlryq2SrVqs5X9EERgxvvK/UKLYY2Oj5kSNoRp8dXXnImt22bPb8hzYylSXjjtVZRmqbI5TSbznpNi95tEiqHHMuGnYPYDlpgQQ2lHCxPvTRFTbe16qrKg0K96NiosDDwETJsjsbNfqXRrbjzqvt2F923283Gm8gc4fl8VdbW9K9QsvUv/ezFbNN5ghBvisC9RGrr2WLgvGiu6vuxo12EK6amdULSi7Uh+cKq3PMhLYRiSlJMZKbRiF+R3HbsUVNDFFW5Vip0TOxTyARUy51cbS+wGfM0CLiwnuQkBcoPji5CwGQAggY4JkETMHKI4b8XaVqk1S1V7XlaJrIyYIqb4YUYtVKGptzXtC2YaMxXlJKmGyYbgJPgepolJtTICUFEdJIhg5mJAueyvIuJGVsWRi5bBNY5TXt5Rztgw3zvCb2UeEaOcm7doRl1omWDrZJMBgOMzaH4lTll+IY7+2JnMJdYCuEQLJpEqV+rImpJKgJmpm7GMSifdINUenaerP8ArrjZ8BzHdInv9y4hfHHJFYlo265QKYCo5ISNjmLTOUpoaPuu/tQswQ52vmWFEyuwQaPUKE688DAAiFlVeMk+TtKacGjiawRC3lFy6D7w7tv6S4knp/a9buuSIpyYswwBBEr7KGWPKjGh5rwa+YVkaLNe2nJsyN7AygxolOFEct25k2jWB82RMnyx4AsAaqNJbRU9fb6rf7q2iN3sLlWYW5ibVK4FBhyTwVKKtqtcJ6ZrWGgVqt4LNOXyu+qn1W11wt2yfbaTlGqzrKlCzXmeH17FErZLtD26i2ncrPSoRV5HVrdWxNjqi3UmNrvE4yewCr25AXFB2zgsdLW87fkUUBqwrtOI4CEQpmvsyNMm7Z8JxfHpZd17bbkkSSkdPPtl6mk0Y83jZgJfJAlMV9NIabXr6bnt9XW7pNWxRRrtzFxbCQ+mQHQtJBBs7Mp3htTEAVUCsBYBsINbRbIF1Wp2adf6P7QVWwQWLmv1davI9lWCsh7Bp9g/66/i0EVqdKwwb3RMBZVxXPuVF1qi0LGm8gpWjDXQNW9qmigQh3jttF6Pkkft9betdHh3WN/Je16XGSq3yp6ASJaKoUNps1s0kXtlimJJAC4oYmIIKQoeSjaaLj9p6putzJt3VXQ7mnYsNmTesHhYXVrscfJ9DWOsEQkpARrpguPplCZu/r+pa+j7zQ1KaS9dNX1cqykAuVs2q2evP29mmtUTDG+aj7Idm5XGQYb2T5T/ADFP7sgJGbteuqy+Ara8bSO6BCXdg2akXbeDlXWWfmFIsuajynM89PtmnESGpHj1kvvYKKDbgebLX3Y124TVx19tE1FFMp6lfM8hmvfXWJ1er9Vjeok9YFTZ12iSoshVuvZfZQfcpQiy80jNpXhcCoihfbV2LGpHWWW15HulvW2vYvbatIxbuvwfryKrVtgVkzX6316ltl1bosCsbCVrdrTWQONVlZR4CIblN51YluLYBzhnfBlxro7tQ3YwX9++3hOWtzMjvt2btMFbazOb7T1TS5SkDX5HbECt55QauNNtxi/yY4zfs3llAEz8HGxQdYT8T23UFeqW9I+9Mlbo+7laIziHSGuYNA+SOYZDEStBrmvyzqta6hKHotEaaD/XE1HM1sKHXWv6y3NWwg4gVO3H3PaQqL+k7gPKV+3qrgTCBW1xlvOTCbGwmze9+nsVvKT46ZT4au10V6CLUD4rkIpWl2ibA2HMxXsw5JGkp6S07nfGLm0c2tnzWSYnuhSamKCC9m0jtZQJKaerYKKmRU8COA+VHUCXvFmu7zp9yp19bS1NhdkFUk0KslX+lrb6pXU0/wBN6KUtL71Ondo/ivATkaM5pcoWy1O09K1dutVXbC1du2NmGwQTTtjar0Spfkdbse331yCdguwq7Se9TLLUWxgLpgVf5Lh6OGS5d7ZFQ9XNwFaUUPuI9u6RIoeBHSfbZyrigcYxLWsLZXYKNE6L4RMRockF14sKSwn4/wBkEcRXcEMEVMqB4iqIABv3WgVPYa32OqlFSZ932HwgSD6+lf8ARm5XUo5mzW1lwYMWVjEA2EIULQsHWV4+ot1NLe1VLUew2Q2xVP6mYhzrZJc6zu1BvY0LbBgILsbWlFn1+a5gHk00waxigFO+uv6ySB0FRIklAvgbDLnyhc6AGfIHks9gCaBwHCwOpimXJqScbxwztYQAwEEODnxwEwxztfG1m5RIcaDkZMCkZkSEx5ieJ6mEkBD/AJEJSJR8jMxMTnz9DgsICwuChZjBRBCQFEFHMdgOBMC+fkTESGfgoiYmM3das25D81rU+oTVTzeukaQ/Kj2EcBUsqN6a5wekAtUm1c05VFPLKe8WLr1sorqTgLq4JEAJMEQihYYsYHHyPhZlwy5pjKwdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMdRu6b6N9APcs2K+J2mMt/zKU+lnN/s2P+tvT/mXT7qW4+lnVP7c819m9Yuk/wB29P8A7t/sfuX7F5jy7++5F43/AB9MZIFMYpjFMYpjFMZje7tsbtiSNANhQ3Rm6rBMhojyOiAtl/v1hgmXO0eJxCwdALFcrbCfTXAOiWHHQFyyignRwgRDJMbMAHLDdqEJP3j1WwwBM1e4+v8AWDiDCJPd0A7SsuVkYRPZRkMmlkC1JA0ROKf2605H9be4V1dYCx6bvAOeoycCOssu/jZMSxMkShFhKICagm1mSVd7lM4naBpsnYXcfVTU2co+a0p68r+v2z2wzojh/JGDljx9SREbu1pjqPU99MtU8ZoP1HbiTOi4rlEtZKqBIBaKEVUMDE+mETRafrdLV2FP2He2mQTtcnW1E1yBJR/5V2wbYvKM1lYRaqDp001WKrEkFfaXEsIhsiOXPdtb1LXRXU7i5s1g54EQgC69Jzl1WdR4KLbiGxAkYwX46f2MGD6SX27HeuufXxfR1pSWForE2x+2MDM5ZcKkuLa8oRxBuyEnRhHNllfcptRcLiUktltkkRGUTxk0dP5lbjmBhRxBBMocWX7HRabb3EtTsLenrG6GERMaxcFX+4ZHAlJbAUjsCmYnmbUzBGMiZWvsuqr6P23Z6qmzvThlW0IwtKQROz11LaupoVXUlCqtCxebSprWsRXVrpXyUjJFeyo2VOKYxTGKYxTGKYxTGKYxTGeezeZFZ6TuU8XBMEbE341nehwQ04t3bREAd1uztRSCpG1gmaUl5WsVWXDAzSlROIZLhJ6NrAungrvlir5zSkI0mK+cD+vqGrH2HYWjvV1ew/7uoNBxM8c3lJragh9POwBrMDsF8p1Vl4U9or2m2mvWs7C9Ov3VZ71pR3Prz5tMCPXw9Q2E2FE0Qbr3Isumr7HUSxvVjFna8hW66lX6M+sLt12Wl1HM0/oRx4XxxvbL67Xxtwz/AEv9VuH/ANccbWx/m/f9P0qwn9Z+OMsFzEgMwXaOI+fj5/4/HEfP6/Ecf5ZqrzM8UximMUximMUximMUximMxPShDhlg7rx/sZPcF6h7GsZ8ye0o5iKch4KLo22ulK+rkcESL0ok+novykFJUZPN/jZlBTbYvHx5rLa5ibyTVgufUDqVj6oq5X2DNc0uvsFxewNNqqHhhy0o2FttW6JOIxhemTNcbCmGu0xBrZTRFyTCD7jerFpa9nZsQfqlG3QEqluWMgLNq/raVOxQBVdqTtFuH1ns+yNaUVgFw7FjNfUqOyw1lk7FMYpjFMYpjFMYpjFMYpjMem/e2GukJss7Ecz7RQ1rWrSxHchHi6rJE9MqD3YoNJHSbpyoTjM+vOxrucw73AqqhZOLHEbMI0lBCGDgJoudAJYjcd7ZYTsNNutLTZDNtW0zHlWXMFYKbAWV0RhUT38T3VrEkULaLYrMqdQKwLldL6y1ur3Ws3EisQnZpEGNWLEBKmKY5pi0ZQyEgYRC3TIeRyWMRYrLsKLtvbXkSP5P0G1Cc0aPpnSG2wNeYlbQ7gYzmRHaiAuNpMdDbbrb4qsgHlAgGttlxJpkgoFLiWHJHS4gA2OAuGWNvtH9lNVa9/3OwrELKFna3GpYMwS2qKy2BYs45FgTMTEGMyMzExE/E58W/qVD6X9aaPW3ANWxq6qopyjiRYlo11zK2gXBLZEEMyBxBRExMx8xl3q4jPomKYxTGKYxTGKYxTGKYxTGKYys23GtIG3MIuOCVKZZfhJtvIQAu7XDCdolxd7gbmIRnA6zzJqYYnmBBIoKsOKEKZEJJxVTvkWwDwNhg5mAhoxoMr1HYLa5T9ffq3VdCgY+zSspt1TOYjsQqsoUyVdoU6BlNgHIM1FmyKdnU7HTX6ybNPZ659JneWwQJtB4rEqlbFxDG1ybX7HDOi3GxULsgl6vlImtJqQmNGyPafptZcuxWSCKNjZ9mFYLAmoUQ4klkR5mFpDcUIuTXtXLyMQLY3V00RicmDN4AHE8mROEk8wUkbBda5uG7qqlVN7qzqxCmO3FV7UPZWBr5fYUE2KtV0MW8LEFXAfNKjctsVdcBor17yY2umyFhfJmHVy1vSs5FJLBvRFqwmAcLFyLZMgJ4LaEsxLFTKhGO2xF0ep5pOajTJjFiOKkqqS8tKBs8dNKy0vuJwrRo8tOR0OVcPmVBTUjo4xxQPmRjAwmYomWV97nS2FLEYCsiumulYyUiqvWUCK6Q7ERdEoWtQdyIuoR2Ii5KcxWMPsWphf2rduxaeQLUmGWbbjsWXeJC1IXLntYyQSpagkuqlguBCJFrTmzFMYpjFMYpjFMYpjFMYpjKPyjomyJMkOR3kBLc2R4056Sk9E2dhRiH4uyivZVNTmkHHgYciZPmKXvJbPPG47LgoJs8wnIzT51MKl8DA4ghYAQPz17v61s52NIyYodiOwUhnEqRsAFMRbUQwD+e1Wm0qrHMoE2tBTUn7N+LeeysbG+NZte5dpbanVGqm3We1VhNULL7gpRPYl1jF9u4wLlZab6ztGxVsGopnWu9hhgHhgGHjbHAPHHDDG37Y4Y2tjjjb/a1rVkRSRSRfJTPM5oSpaFChMQKQGBGI/SIiOIiP8AlHxmqvM2YpjFMYpjFMYpjFMYpjFMZWlu68OAlKKlIj92UnmZUHBxnnUwoef6fr0iRfFKyZ5mXIjNPOIYDi2SnQEgJCuOTIhvJyOnEK3hmsrZqIIJ0P2lI06/UxF+wiJgLLI/mWJiYNhcB0QBOWcqY0Uw7w90LYCbFpb/ADYx9+0LV/8Aptf4wg6yvlLTXKDW1hO8tjuDU+eAB4I8rCKUzC60IstXme4pjFMYpjFMYpjFMYpjFMZw7hRSrkQFxunhDARJfR1NFOClMwwzQZVVJDETAhbMYIcHAxgCPe+F88M8bZWtxxvb9KrtvrUbrU2tPakxrW67EnITEFAtAgKRmYKIKIKeJkZjnjmJj4yXr7jddfRsEQMuQ4GDBcyMkBQURMRMTxzHzxMTx+kxnVoljdDhuLI2iJsG1Y+24uYbRjxvnV4cmaXDiKzEAg3Us0sGU8ilkDCoOSTsMjGYBYuFkLfK+AeGN7Y26ffbm17FvLm/uisbl2015iETAQbTJhQEERFAxJTAxJFMRxzMz85zHrWgp+q+vUvWteTTo0Kq0LJkjLJBQQAyciIDJTEfMiIxz+kR+mSDVTl5imMUximMUximMUximMUximM/L8eF+FuN+H6W/bjf/Tj/AA41gySECII7HETxHPHM/wCEc/4c/pziP1+f0zDhphsTOExzkpJyzPS68H+2X7KbO3L07dzEilpomlxJCBXBYfUY9MtJhpcwidVL4IhlEUXi7HekvpANqSsh+VCIigldfp9HcF6Xrt57By6te0AObZ6RBK9hh1D72nVKySpdXX+bbJOu2taurVV0znbMxsxY3NLvfy6vaWVaJAkKW/fWOvMDCrOlbVsWaG0Wck5jbRBGoJjUWAqLbf2VKzQRcSCdXmQrfl1imMUximMUximMUximMUximMw37I7EzgjbiuKFG7PS9DMhFGGyHhphrwIxIoPRpvabMiCFpdT3k8nixHjJyveKFfICy4msNeZaq0GyJ9wqXnk4SwpeL6bS3e22myu3I8tOl7BRRYrdYIKvrrV0PPuY6Eh32mOfuK6nstNpKt0dRVLWG6xKd3T+5/la+uGvpDGu+xoLdmnZkRIW7qm50xq7JGTFrrOAtOMKlFW3bVf2M6/YS6qbNVmPtx4W42ta/C3G1r8bWv8Axta97Y3vbj/tapU8c/H6Zbj2kY7REFx88TzHP/CeI5/58R/yz9pnuKYxTGKYxTGKYxTGKYxTGYQEzuFl5y3BMsS+wzl1f10j7ZExrnHSq04IUHgS20n6PV8ZvP2PZP2ufsVyVrRAbCXX4lKzJRGCGYb8su5XTwFNJXCJZSSyClP9N8O41qtwafsbW/Xvtp0Wn4BKjWK4grYxyp+yuyuqe6rV9bYJev1KitbVFsSuI1Vn7PR/D15pKgY+upDLtwHqcSGWAUcVoqLhhVUVhtUxsbK7yqxsW29SqvVdprT7ub+oGVmKYxTGKYxTGKYxTGKYxTGUx3ffksseL0rOMGzs6OnqjhxxkqTtRmlr7JE0QwwEkgaV1J6tqLZ/wc5OSMxThQAqYSW6y386DRAQyGlIZhRzKZYVdq1KtlXRZ89fVSBsZaGFmlZi2upabA/vsCtovbYJ6EMFQU2Q00wwCmdXIE1LFgUptXIWQglhmEzythE5cwaVm1fSASpr1iT3KMhsLWyuyatelxFc8Hxa523Mzi2HbrmZiM5ECbXaTYic5JJRF8tirpTmWE+MmBFjGIHTRA4HjkAnt1IwCthbAQvgNYTj0WyXKrUqlaF9Vrj+FnlUyIWMQ9bYY4GjYj+eGKYSGQzvX6olYxRa1b1VyC0V2bPnd3C4iatpBS5klUfWNFZtZtOZmoSLKAtplPjudrQuMpkqDk/FMYpjFMYpjFMYpjFMYpjFMZ+Xte9r2tf6b3te1r8LX4X/AIX4X/S/CtbhM1ECykGSMxBRETIzMfBRE8xPE/PExMT/AI/GexxE8z8xmJuAdMZ6Z82Q09ZWTIDur68ASK3gtuWE8nge2U23jaQMX6oHI0n6OD0PM1tx83zUiPIk+FAMq+XsnjO1BwMkSCbidz8rs9Qn8L69NPYwyNh+Bp6wlLsWHVrDaU0wXuLBOMSZehVN0Jiym5bqjuNigdswZtM2nvsl3ZbfYmlEJL19m9t7RUGVoC1v2JmApUUjZYDACrKdYb7Tjrso0Ks/ixsjr3afLLTMcUximMUximMUximMUximMUxmJzabTKeZtkeVSBVKgGR4xmM3F7jY0qyk8Xg0500LkaKGwoITQkfWtqtyHn0jSSvNR0qhx3oogztjxRT1xVUi4h8ySN44gafTwZpPYIv7QnTWTvw2i3pe+HtT4KKX6Y1d1CmjaXQOtaJVg6tuptLq7eqfxbjbSNzsr7Nb9bULrmh2lLWWaTztqqWYZdfabcsNrWQeZGDagkiqNCxBabXsRtK1nwWtdlgDxvgGHhlnkJlhhjjkJlw+oS+ONrXzy4fp9WV7cb1IKYIpKI4iZ/T/AC/4ZCQskoBRnLDEIiSn9SmI4kp4/wAZ/Wc11jm3FMYpjFMYpjFMYpjFMYpjMQpnRKbDAC7q8PaFDulinuAU3NRZFNO15ZbFtZaz2dTNzFqF8YpMRgej5cIHJ+BUPIviz3Tzqc2VAIjdAMnCV1I5Ip37tm7pLu+6m/1pSk1jgu5XU0qTKWp8kKGlGtLXKZUS2InaxslaqZfKj3L/AMbnublkrN92grUfFvq0ovBZFhrrw+tFbYWa65Nn2rVrx/Yq+Q6atZsLf3Ui9Otr6+1l6qPmGKYxTGKYxTGKYxTGKYxTGQVMy/syimWkHr1E8FSWTPGjgb7OTNsI/wCDzLXJYiJ+KecaSayNY9hAn4aHCFNZjFjhtuYBZABYYjiWHzzL4qg2XBS8oTryiOXCPmYEyXBTFeSQLIEf3QM2leQv2SS4nyRm/wAYatz63Ld0Mx4klwpDI6HM+S1HmYmfJCwjrUfEAZs+ZWKm9lhmMiUPRu3mCSNAHxE0VeWFhRKEhkskqOp4uNXebxVU5IHUFYRFTFR2OA6YLEfNGMSQAmAGImeIdsryXtAl1qqe/wBOnRqU095GT+vRqpp1/IQAsCZ4EL8hgtYmfYhWETAxV63W19aFn64wE29jevMiJKRh+xu2L9nrJyRdJsWWyETM9RmBjiIiMlCtGWOKYxTGKYxTGKYxTGKYxTGKYz4GjIBIsYOGhcQCpQAYyZGz4/QCAAHkKMLlwte/0hh4Xvf/AGtUe3ar0arbtsoCqlZGZfM9QCJIp4jmfiImfiJn/LNqENsvCsgZJ7DgRiP1kiniIj/nM8ZjoiPfZbfjr17VHlDiMyNed08RLabzEjSuI93O+jWccLcwN1NmuL8o3apKFD0lxY2FNcbF0xxvQsOCQzKK4yKqDE081Z19Rvqt+3657XWDV+6UqzbDaRPS2QFD1qsVJbBBDdnTF6juV6Y26geLYMqbC5TpjcsYtApqWtpT4dqaWy+k44mDLtNh1Rd1c1/sVy1j7KRUmyyyqwU3tb2pgb7IUsj1RMwxTGKYxTGKYxTGKYxTGKYxTGUomHbF0pUz31h1mh8psHsMltBBkaRSjmkcOHIQglgOhQWiLPWJtlkqzJSdiUvSWK1FgBroTYZzsVzphOyGUQElJy5tjJ0Sq+3sPsObCPXaF1da5YgZYcPJaLDKdNMdRs7BNS1WvNQ51Osqq5BWLqHW6Cbcm2lVGgmxZZEbG5DJq1oEiY1SDUuxZYUR4q1ZRuBYm4xdbbLQ16LkUtmdG6uP1XxxvnbHHO+NvqxxyvnjbLh/NbHK+OF8sbX/AGve1uP+lqjzxzPX/p/+P+f/ANchrlkrGWxEN4jmInmIn/GImYGZiJ/SZGOf14j9M1V5meKYxTGKYxTGKYxTGKYxTGUMkeetz2LJrTTimr+t6vDD2mVoRk3XWobjyUiTkeQHAr4l1l42g8tpGvMbA83WyRU166TeQ/6yWn3uIbLD5ZgheaGfuXa9H2CYqNsxcIZRzagBRWtW0eWTGr0Nq0LU+I7rRad4UuuAK3P92MfXpWbtGCcusCe3eJDljXoqwMSHm/j+y8QBv6ErhxiuJIRvnXueYpjFMYpjFMYpjFMYpjFMZAk7vaf2sjky+uMKMWZ30KGcUzqbK0yrsBx+TRCGGIeRQN/tyF57Vzb3VzxgLFOTbN/AgIXCNDHFIj4ZYM5DtPtJWxyE+ZaV9iGC6tOZFkgCBKIWw5lciXdqhX2XJF++IyfVRr2LL7tgk2DmBTArlgyUGvyHYKDGUIBREUGIPc1vRaq5r+y+rvdcJyQ9lIQjub2+3nI0CL9RRTxlnvAJMCdTPXUxSPIDoaLg5IpLCGOrNdzJJsgOMROGyI+Ze4hcYUHPATKdDKVmpT2mqdFnS7HXU79V0DIeWnsKqbtRshPyBMrWFGS5mZApkJmZHnOe1mxHYrfEj0t09hdovCJ7QFvXXH0LixPiIYC7VZwA2IgWgMMGOpRk3VjllimMUximMUximMUximMUximM25sMuMVMhGwbGCopcYMyXyByM4jl8w8sRgci+OAmQ9hQ73xvhbHK+XHhwvxqJfVWfRci6EspmoxYMCRSQSMwQwIRJFMjzHUYkp54iOeM3Vzat4MrlIPE4kS569SiYmJ7TMQPE8TzzHH68xmB3VPTMdenHXBYjSRt6kvQ/SpWer5gaHtrWFHEXtsvIq80JDh1mx5E7Lfeu0ab2BxhArGfi8CCdkxWzLGcBkPBEzWCgI5wrf6vabJh2vZvYDTd21jWnrq7LS4ZsZgyom7aE5TASg2JrnrZiyhm0uk7YWLUU1eB+6x9hJkXbGk1K01KVrZHa2Q1GGNSHJsRaGtXCYYlybN0ovx9F8aikKFVqSZmVq1WeqqvNeKYxTGKYxTGKYxTGKYxTGKYzzZ7f6ht9ckruIth264SrJOz+0zobMxduXZ9kxJIj7JQZJxLWyIYbaebe2FQW+5mtpJIMNTDCgTjUV5XUGgWWkJRTfJnVQYqaIEMtTamvX1Wv9W51Puev3Ztt2xg5h9O7sgstvvbYivUt041vk1mw9cVbsuu1NSamUG/mqKbl9sd/R19itf9jLZ7T0JurRWsa2sAMaLUMup+pVrmw1eZv5Armv2dxVejrruz2DrD6yEX7jfRwiF1EojJBRYOYKKuWSyBdUUMMLB4HlEEoEGeOYB2wDthgaM45Z2tbHHhbLhwt+1Sb7arrznUQlVI3GSwmeZAJKZAZnmeeo8RzzP6frnJ6xFqtra9a8flurQsWHzM9zEIgy5niZ7FEzzMRPz85ylRMnYpjFMYpjFMYpjFMYpjFMZAzgbp93bCMA6bT1LFrxCyXI7SxsyQHwRVGQpDGzZbfHSVIQCxY2rtJlJLjCOghiZZlwXCWyzxtYYO9/aPKnXrpdhMqyqiv3RwYNbFq52Xz25A6ut8TeOhd7KwKSBwj7cGDqVa0RBCVw7BlBTBLmsnwpWQx8GuxN1zfmY6MpLKBKZggnmvM8xTGKYxTGKYxTGKYxTGKYym2220qbr+WZzUyZWxq4sSiOqJwb0g/UrZnZxGjFDTi1hFp1Ou2vcRyndJWL4DYFkIgcCsIoKY4eeYfkADxgCE1S9k1upYxiK/1+7WQB9iWRePwVj6yv7bY7yJnPiqKA7LRcyKtG96x9igCbleuNpx2fGISYeNcwBMl9ofIDZqhIivxoiXWXNUgJQmbV6jLeuKgwj8KR9jFrPf7GjlKQwW+y29KEePyKXwCgN7PNGJnF1gSkitqSm8ZUfJXH+leTSKmYtnYcUG3i2yytrKPrytQqrIRCVwtFfxQlCBCBroUCJJKVqRCxXXCY+suBrsBLVGlcGlYGzDjgrDWfYb5GuBgMe8jk7Di8oLM5N5MkndIW8+zkE1BqaybqjZNxTGKYxTGKYxTGKYxTGKYxTGQVsRs3Aepse2lPYyU2rEzFGcCK0U5Zcxoawy87nGOIAgtNroieXPL7sdCtcEXMBOTSps5mAAMLYPwgRc8MVF59nR0qIJm12NxNWsoBIja57QSuIgYnqEGwZa4+qa6+znsWkDMT4KtqNjv3CUabU0HXbjusyFeqiIljWTETxHaQWsY5Nz2KQkTc1ay+847ExPrq20JzyisOMAJ1uAFqM1ssKOJKmSS305RUpUcAqGwYjhxoP2U32pJrZQlBWPBJCMdyTkdONnzXgkypgcP0pISMYBh+JJubIAZilKyADe8gEhRXFjUpl7pBMPfXR38r0gfq+GVZuxIxV5XHYigYkmzwsB7TEkw/mRWPJyImUD1A5GRmS9mhJLQbT/AGA5UV4sl4oqe42q6m4oFlZCcCErFgzacqpSiUEFLGyZssLjlhnjle17X/142rc1RpPofWeREokSEhISGCAwMZkDWYSJrYBEBgQmBEJRM+mDUtZXsLam2lpqapoGpqmqMltS5TBFinKYJLapgixTBJbBExIY7RWrMcUximMUximMUximMUximMrLJW4mvEQyQiRVID3VEZ0LBluEjqiTjuTXHHbEPPRRCR2KRmKX2wzVmJYNOyCsjhkm6C8ltCEcBwXABOxMi544Xh0L9TZ7Nuool3uJcCCnqQqm0xUPGmDygUNv+E0Omgth3BVbosJAhfpy8z+PsMfveuqVo1r/AJHLqB5u91qF9nKoh9a3JXWANURp3SJsDStSmzVTMYpjFMYpjFMYpjFMYpjFMYpjKy57ia8BTYW1+Fe6oDIZ1aFaZE6NHcmgxWfkEBJMr48TEJ8FZuMEHZrAb5MZQzZITkzdmBAAQzdOsAHmJjD1N+puybGsLyQs7ARMiQC+ahSFuahMgRujUaLk2zqS8K1irdrvJbqNxaDP4/Nx+/63h+x4/wCX6n2PD9f7vj7fS+x9qp9f7fh8/wB2j4u/3qnms1UzGKYxTGKYxTGKYxTGKYxTGQZO2xkX64N0m5pMzkIyUPinLFUeKYVmnYF7ZkUwviZWHAJHUBR/Jj/LtFBwFBxUVoRMwSU4U2VCMmQhDRbAWJavVaQyy0UggAIzOYLxrAYkpNrOPGkeBLgmkEFxMDMzExk+nrLl9THVRGRVIRxJgJGbDgFqSBkJ2HlMycIQLHeJbn9PChzFyKwX8yZUZLTkqNXY333H77b6U62Y82oqk1xtuhtrhMJQSFtEV08UckopqiSHwECFDzyxyxyqztVX0nlWsj1cPH+MTExMQQkJDMiQEMwQGMyJjMEMyMxM1FW0i6gbNYuyS5/wmJiYmRISEoghMSiRMCiCAokSiCiYjt1R8kYpjFMYpjFMYpjFMYpjFMYpjKK9zccEvoBtkIOMEBhlDjlAxzGEwDwyGM4gFiwNss742uKYMC4h4Y/vnnlbG3G97WrdrXore2+sMsGC1z7p60MSUwMSR+wa0AHmeI7GZCAx+pEUDHMzEZz/ALkJF/X3tMDEzP8AtDfz8f5Rpr0zP/yiOZ/yjOMkos4iHcT05cSkbzLRod1j3DYZGxg8GXTjM1LLq1YeTVTwSoogdjbhMxZH7yMF8cPrFsRJHcrY2wwEyxl6tuhWHsYW0c+1fR1761iUlMJ1le3aXuQmz1laAbct+umajMZsShbBgoqnI3VizCvU9Mr7Fddc96sDUXWGueeqvFTJUyPMilStjDBEx+XBMgz4Jfy7aIyipa4OR0CD2NtR/bSbmyNFR8A7dRTVaHn/ALVS67IycCAd+m2BtsOdqKxdSSxg75Ajp5sEUK9ws8L1EVNz/bWgDZNW7YR6/RmSCOIFJphlFJftD99bXHTrMiRghNRCckYkU3fsoapfum6Tpqs06qbqkOVKDrT+Sq0qlTdsNTFrKGu3iNk5zOsi9zGWAY0Gi08gVacqsUximMUximMUximMUximM88HcKjLaaNkveaD4iA1hl9vd21Tu1YtaMrzhIcXT0xZaeGubG1ukYowoybcBTIgTlGjEYMaJ78UDWa2zrt5PCVsj2flggzt52sv2NtY9f8ATbhW0Dp9n9v7usYAX6mojeL2lu+UONIV2623eaCL32J8jX6ujXrs2J1a92+bu0aO0n3+RZbVS16KbKVlJPqNsidoaaEysiIk7LziuxQNALBi71918KdixOt9BSEnipCGjJQ5wZQHTEpOTxj5nPIUweFJFASwhwwJn/OIMZzCvnnlf9b5ZXvesdjZC7sH3FgKltcZwAxwIQRSUDER8RAxPER/hEZyGops1+pq0HF3aiutZFzM9pABGZ5mImeZjnmYif8AhnK1DyxxTGKYxTGKYxTGKYxTGKYzzly1EO1bMdTF7djeE1nkxnSv3A0vdpmyD1zkVC2ljKAUrddG3blNxPLXgvAboaIyHHz4zPMtHeFpDSiKgdVEQCxIE8Ncpldevbhuz9g0j9pFpX+1dSpFyxrzXAypGovazThdhpplEboELoXKqpuOvqDb2FKikq8dCb7LfGqjb7ZHe1Ps1eaKU3FGyE2200V7MIauTFqdetRbKm5oUx1o/SpTNq0qmWz9GlUuQsUximMUximMUximMUximMjWRXkksYsQNAkCKs/nWPk0Y+b1syxdZdy+KWNqoSKWMZYZmg0ZNKEh1JUHxxECT0woYNiY3xBvxjPVcsg2jqwEtg1MlMlH8S1rnx/ZtT/21q52IgimCMjeFasDrlqvXfg23raZIdt2dK8vlShjrLmtaEtKvUApHyWHKqkzpEiAqrHZsmqpVfYT1HWWJm5BMHsSH20skl8BhE1BLW1VPyDxLHHkfWFBffBkMiEYNYouBp2q5wbBP+u9iAYmIFrWxDtattWtT1+q1+m1ZPPS6zWU9bVNxCbiq6usrW15cwBAGPhVQRsMAAEniyeg/IxFp1AqOuslYJuXdnd2FhYEZCFna23bSxAeSZZCybdJioP58JrmI6zGTxWzJuKYxTGKYxTGKYxTGKYxTGKYypW5v4J9J0//ACF/iV0M+80nlX5m9Hek/UPli3yLl/W//p/3nyfmXlPD/vvLeZ8P+Txahv8Ax/20fZ8P3uT8Pbr5Oev8nj5/d/0/9fX/ALf1+MtKH5r6d78X9r6H1h+54vJ4/r/YR0+z0/b4ft/W6+X9n2PBx/J484CUv8dX4fN7rX+Ff4B/bUc/anVLoZ+H32f4yP0j+3vuz/xf7a8xy/7c8t/a/X5fyX6+HVp7F9r83/8A1nk/3H9o/wD3fP2fs+Nnf/W/l8/h83f/APZ4/Jz+3tlVruv1G/iePo9S8nh/0+PNHbv0/bx5+vbt8ebjn9/GXGTOW8tT+TeR5P5Epyrlngct5b4AfkeX+V/tfI+V+nwvD/p+Hw+n9OFLf2vtN+95Pu+QvJ5Oe/fme/ft+7v257dvnnnn5zRU+r9VX0fH9Hxj4/Hx06cR06df29OvHXr8cccfGb6o+SMUximMUximMUximMUximMrcwvxB/Iqb+l/43flryZi/kl9hdMPyK+3+V49M+t/29/6XybkvDkXPv6HleHlP6dYUen0rH4zj8d9qPP4v9P7PDOPL0/b5+PLx3/k48n/AOWSNl9rz0fzHk+z9Fn0/Nz2+n5v5fq9/n632P8AU8X8Xm/6v35ZGs8j4pjFMYpjFMYpjFMYpjFMYpjK3a//AIg86nL8WPxu+4urq9+Sv4/9MOddefpw+5+uXTr++6u/R9Pn+f8A/M8OHi/wrCl0/EI/HcfgO7PD4/8A2/fhfl8XX+Ptx4vJ0+ePH2/7ckbP7X5ln5nyf7h+rV8nm5+x9bxz9Pv3/l8Hi7fV5/j8fPi/bzlkazyPimMUximMUximMUximMUxmPDeP/E7zWOv8lH+PDnfL3J0l/OP8bOa8q8yj/d/Trr3/d8v83y/mXLP6fieX8b+bw6iB9H7zPH4fyfhX5OOvl8XZvh78fv8ffz+Pt+3t5evz3zeX2vqh38n0vIfTnnp34Dydf8At7dfF34+eOnb465aTXT8c+izC/Erop+O3Kx+l/46fYvRbknMjvmvsLpp/wBG5XzfzPicu/o+Z8Tj/P8AVV1sfyfnD8t5/s+BPXzd+3h8IfX69/nxeDx+Hj9nh6dP2dcptV+H8DPwn1vrfZf38HTr9jzH9nv4/jzefyefn9/m7+T9/bJrqBllimMUximMUxn/2QA=)
Calculate the between-group sum of squares.