The following multiple regression printout can be used to predict a person's height (in inches) given...

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Statistics

The following multiple regression printout can be used topredict a person's height (in inches) given his or her shoe sizeand gender, where gender = 1 for males and 0 for females.

Regression Analysis: Height Versus Shoe Size, Gender

Coefficients

Term

Coef

SE Coef

T-Value

P-Value

Constant

55.21

1.08

51.12

0.000

Shoe Size

1.167

0.11

0.000

Gender

2.579

0.483

5.34

0.000

(a)

Find the value of the test statistic for shoe size. (Round youranswer to two decimal places.)

t =

(b)

Is the regression coefficient of shoe size statisticallysignificant? (Use α = 0.05.)

The regression coefficient of shoe size

statistically significant.

(c)

Does the variable shoe size belong in the model?

The variable shoe size

belong in the model.

(d)

Interpret the regression coefficient of Gender. (Round youranswer to 3 decimal places).

Males are inches taller than females, on average, controllingfor shoe size.

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SOLUTIONFrom given dataThe following multiple regression printout can be used topredict a persons height in inches given his or her shoe sizeand gender where gender 1 for males and 0    See Answer
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