Suppose a statistician built a multiple regression model forpredicting the total number of runs scored by a baseball teamduring a season. Using data for n=200 samples, the results belowwere obtained. Complete parts a through d.
Ind. Var. | ? estimate | Standard Error | Ind. Var.. | ? estimate | Standard Error |
Intercept | 3.88 | 17.03 | Doubles (X3) | 0.74 | 0.04 |
Walks (X1) | 0.37 | 0.05 | Triples (X4) | 1.17 | 0.23 |
Singles (X2) | 0.51 | 0.05 | Home Runs (X5) | 1.44 | 0.04 |
a. Write the least squares prediction equation for y= totalnumber of runs scored by a team in a season.
y=(3.88)+(0.37)X1+(0.51)X2+(0.74) X3+(1.17).X4+(1.44) X5.CORRECT ANSWERS (Type integers or decimals.)
b. Interpret, practically, ?0 and ?1 in the model. Whichstatement below best interprets ?0?
A. For a change of ?0 in any variable, the runs scored increasesby 1.
B. For a decrease of 1 in any variable, the runs scored changesby ?0.
C. For an increase of 1 in any variable, the runs scored changesby ?0.
D. For a change of ?0 in any variable, the runs scored decreasesby 1.
E. This parameter does not have a practical interpretation. Youranswer is correct.
Which statement below best interprets ?1?
A. For an increase of 1 in the number of walks, the runs scoredchanges by ?1.
B. For a change of ?1 in the number of walks, the runs scoredincreases by 1.
C. For a decrease of 1 in the number of walks, the runs scoredchanges by ?1.
D. For a change of ?1in the number of walks, the runs scoreddecreases by 1.
E. This parameter does not have a practical interpretation.
