For Exercises 37–51, do the following for the indicated data sets from the Section 4.1 exercises:

  1. Calculate the slope and the intercept of the regression line.
  2. State the regression equation in words.
  3. Interpret the value for the slope of the regression line, in terms of the variables from the particular exercise.
  4. Interpret the value for the intercept of the regression line, in terms of the variables from the particular exercise.

Question 4.149

batters2014

51. Batting Average and Runs Scored. The table shows the top 10 hitters in the American League of Major League Baseball for 2014. We are interested in estimating the number of runs scored using the player’s batting average .

Batter Team Runs
scored		 Batting
average
Jose Altuve Houston Astros 85 0.341
Victor Martinez Detroit Tigers 87 0.335
Michael Brantley Cleveland Indians 94 0.327
Adrian Beltre Texas Rangers 79 0.324
Jose Abreu Chicago White
Sox		 80 0.317
Robinson Cano Seattle Mariners 77 0.314
Miguel Cabrera Detroit Tigers 101 0.313
Melky Cabrera Toronto Blue Jays 81 0.301
Adam Eaton Chicago White
Sox		 76 0.300
Howie Kendrick Los Angeles
Angels		 85 0.293

4.2.51

(a) (b) The predicted number of runs scored by a player is 118 times the player's batting average plus 47.2 runs. (c) For each increase of 1 in a player's batting average the predicted number of runs scored increases by 118 runs. (d) The predicted number of runs scored by a player with a batting average of is 47.2.