For Exercises 23–37, follow these steps. You have already calculated the regression equation in Exercises 37–51 in Section 4.2. Do the following.

  1. Calculate the sum of squares error, SSE.
  2. Compute and interpret the standard error of the estimate, .
  3. Calculate the total sum of squares, SST.
  4. Find the sum of squares regression, SSR.
  5. Calculate and interpret the coefficient of determination, .
  6. Use to calculate and interpret the correlation coefficient, .

Question 4.238

37. Batting Average and Runs Scored. See Exercise 51 in Section 4.2.

4.3.37

(a) 530.02 (b) 8.13958. The typical difference between the predicted batting average of a player and the actual observed batting average of a player is 8.13958. (c) 560.50 (d) 30.48 (e) 0.0544. Therefore, 5.44% of the variability in the runs scored is accounted for by the linear relationship between the batting averages and the runs scored. (f) 0.2332. This value of is close to the value . We would therefore say that the batting averages and the runs scored have no linear relationship.