The Des Moines Register Reported the Ratings of High School $= 0.902 + 0.568$

Essay

The Des Moines Register reported the ratings of high school sportsmanship as compiled
by the Iowa High School Athletic Association. The participants and coaches from each
school were rated by referees. (1 = superior, 5 = unsatisfactory.) A regression analysis
of data on the average scores given to football players and coaches is shown below.

Linear Fit
FBParticipants $= 0.902 + 0.568$ FBCoaches

Summary of Fit

$\begin{array}{ll}\text { RSquare } & 0.452 \\\text { RSquare Adj } & 0.450 \\\mathrm{~s} & 0.355\end{array}$

$\begin{array}{l}\text { Analysis of Variance }\\\begin{array}{lrrrr}\text { Source } & \text { DF } & \text { SS } &{\text { MS }} & \text { F Ratio } \\\text { Model } & 1 & 37.505 & 37.505 & 298.2723 \\\text { Error } & 362 & 45.518 & 0.126 & \text { Prob }>\text { F } \\\text { C. Total } & 363 & 83.022 & & <.0001\end{array}\end{array}$

a) Interpret the value of the correlation between the ratings of coaches and
participants.
b) Interpret the value of the coefficient of determination.
c) Interpret the value of the standard deviation about the least squares line.