Transcription of Lecture 16 - Correlation and Regression
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Lecture 16 - Correlation and RegressionStatistics 102 Colin RundelApril 1, 2013 Modeling numerical variablesModeling numerical variablesSo far we have worked with single numerical and categorical variables,and explored relationships between numerical and categorical, andtwo categorical week we will learn to quantify the relationship between twonumerical variables, as well as modeling numerical response variablesusing a numerical or categorical explanatory week we will learn to model numerical variables using manyexplanatory variables at 102 (Colin Rundel)Lec 16 April 1, 20132 / 34 Modeling numerical variablesPoverty vs. HS graduate rateThescatterplotbelow shows the relationship between HS graduate rate inall 50 US states and DC and the % of residents who live below the povertyline(income below$23,050 for a family of 4 in 2012).
Cov(X;Y) = 1 n Xn i=1 (x i X)(y i Y) Covariance is not a measure of uncertainly but rather a measure of the degree to which X and Y tend to be large (or small) at the same time or the degree to which one tends to be large while the other is small. Statistics 102 (Colin Rundel) Lec 16 April 1, …
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