Question

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	1.03	53.61	0.000
Shoe Size	1.167	0.18		0.000
Gender	2.577	0.484	5.32	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  ---Select--- is is not statistically significant.

(c)

Does the variable shoe size belong in the model?

The variable shoe size  ---Select--- may may not belong in the model.

(d)

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

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

Answer 1

(A) we know that t statistic = (coefficient)/(Se)

putting the values from given data

we get

t statistic = (1.167/0.18)

= 6.48

(B) p value for the shoe size variable is 0.000, which is less than significance level of 0.05

So, we can say that the variable shoe size is statistically significant

(C) p value for the shoe size is 0.000, which is significant at 0.05 level of significance'

Since the variable shoe size is significant, so we can say that the shoe size may belong in the model

(D) Gender coefficient is 2.577

male = 1 and female = 0

this means that male has 2.577 inches more height than female

Males are 2.577 inches taller than females, on average, controlling for shoe size.