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.
