The dataset OttawaSenators contains information on the number of points and the number of penalty minutes for 24 Ottawa Senators NHL hockey players. Computer output is shown for predicting the number of points from the number of penalty minutes:

(a) Write down the equation of the least squares line and use it to predict the number of points for a player with 20 penalty minutes and for a player with 150 penalty minutes.
(b) Interpret the slope of the regression equation in context.
(c) Give the hypotheses, t-statistic, p-value, and conclusion of the t-test of the slope to determine whether penalty minutes is an effective predictor of number of points.
(d) Give the hypotheses, F-statistic, p-value, and conclusion of the ANOVA test to determine whether the regression model is effective at predicting number of points.
(e) How do the two p-values from parts (c) and (d) compare?
(f) Interpret R² for this model.

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The regression equation is Points = 28.8 - 0.0476 PenMins Predictor Coef SE Coef т 5.320 Constant 28.819 5.42 0.000 PenMins -0.04760 0.07700 -0.62 0.543 S= 18.1460 R-Sq = 1.7% R-Sq(adj) = 0.0% Analysis of Variance Source DF MS Regression 125.8 125.8 0.38 0.543 7244.1 329.3 Residual Error 22 Total 23 7370.0