Answer:
a. 1.6points
b. 4points
c. 15points
Step-by-step explanation:
a. There is a very strong positive linear association between the differences in ratings and the corresponding difference of game scores. There are no apparent outliers. About 81% of the variation in score differences is explained by the difference in ratings of the two teams. The slope is about 1.6. An increase of 1 in the difference of ratings is expected to increase the score difference by 1.6 points.
b. The LSRL is about y = 1.6x. y = 1.6(74.27 − 76.61) = −3.74. Marin Catholic is expected to win by about 4 points.
c. The model predicts the difference in scores to be y = 1.6(5) = 8 points. Since residual = actual − predicted, 7 = actual = −8. The actual difference in scores was 15 points.
