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	55.26	1.04	53.13	0.000
Shoe Size	1.166	0.15		0.000
Gender	2.574	0.486	5.30	0.000

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

t = _____________________.

Interpret the regression coefficient of Gender.

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

The following multiple regression printout can be used to predict the price (Price) of a used car given how many miles it has on it (Mileage), the size of the engine (Liter), and whether it has leather interior (Leather), where Leather = 1 for cars that have leather interior and 0 otherwise.

Regression Analysis: Price Versus Mileage, Liter, Leather

Coefficients
Term	Coef	SE Coef	T-Value	P-Value
Constant	6,958	511	13.62	0.000
Mileage	-0.0841	0.0174	-4.83	0.000
Liter	3,794	125	30.35	0.000
Leather	1,024	318	3.22	0.001
Regression Equation
Price = 6,958 − 0.0841 Mileage + 3,794 Liter + 1,024 Leather

How does having leather seats affect the expected price of the car, controlling for the mileage and size of the engine?

It is expected to increase the price of the used car by $ ___________?

Answer 1

Answer - 1: Test statistic for shoe size = 1.166/0.15 = 7.77

Males are 1.166 inches taller than females, on average, controlling for shoe size.

Answer - 2: It is expected to increase the price of the used car by $ 1024