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

The following multiple regression printout can be used to predict a person's height (in inches) given his or her shoe size and 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 55.22 1.06 52.09 0.000
Shoe Size 1.163 0.18 0.000
Gender 2.572 0.489 5.26 0.000

(a)

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

t = __________

(b)

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

The regression coefficient of shoe size is statistically significant.

(c)

Does the variable shoe size belong in the model?

The variable shoe size may belong in the model.

(d)

Interpret the regression coefficient of Gender.

Males are _______ inches taller than females, on average, controlling for shoe size.

Math   Statistics-And-Probability   
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