Chapter 13

How are ANOVA and linear regression similar? How are they different?

What is a residual?

How are correlation and regression similar? How are they different?

What are the two parameters of the line of best fit, and what do they represent?

Fill out the rest of the ANOVA tables below for simple linear regressions: a.$$ \begin{array}{ccccc} \text { Source } & S S & d f & M S & F \\ \hline \text { Model } & 34.21 & & \\ \text { Error } & & & \\ \text { Total } & 66.12 & 54 & & \\ \hline \end{array} $$ b. $$ \begin{array}{lllll} \text { Source } & S S & d f & M S & F \\ \hline \text { Model } & & & 6.03 & \\ \text { Error } & & 16 & & \\ \text { Total } & 19.98 & & & \\ \hline \end{array} $$

You have become suspicious that the draft rankings of your fantasy football league have no predictive value for how teams place at the end of the season. You go back to historical league data and find rankings of teams after the draft and at the end of the season (below) to test for a statistically significant predictive relation. Assume \(S S M=2.65\) and \(S S E=337.35\)