Suppose a statistician built a multiple regression model for predicting the total number of runs scored...

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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.

Answer & Explanation Solved by verified expert
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Please dont hesitate to give a thumbs up in case youre satisfied with the answer a Write the least squares prediction equation for y total number of runs scored by a team in a season this is correct y388037X1051X2074 X3117X4144 X5 Each variable is multiplied my its respective coefficient    See Answer
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