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2. Two measures of a baseball player's effectiveness as a hitter are the number of hits he makes in a season and the number of times he "bats in" a run (knows as "Runs Batted In" or RBIs). Can we predict a batter's RBIs from his hits? Below is numerical and graphical output from a computer regression of RBIs on Hits for 12 randomly selected Major League Baseball batters in 2017. Predictor Coof SE Coof T P Constant 14.98 29.35 0. 51 D . 621 Hits 0.3664 0. 1915 1.91 0.085 S - 14. 359 R-Sq - 26. 8% R-Sq(adj) = 19.54 Assume that the conditions for inference have been satisfied. (a) Do these data provide convincing evidence that there is a linear relationship between RBIs and Hits for Major League Baseball batters in 2017? (b) Construct a 95% confidence interval for the slope of the population regression line for predicting RBIs from Hits.
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