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Question

# The nexttwoquestions (16and17) refer to the following:We would

like to determine whether a man's shoe size can be used to predict his height.

The shoe sizes and heights (in inches) of a random sample of eight men are shown below:

Shoe Size 11 10 9.5 12 11 11.5 10.5 10

Height (inches) 69 70 67 74 72 70 71 68

The correlation between shoe size and height is calculated to be

r

= 0

:

78, and the

equation of the least squares regression line is calculated to be ^

y

= 48 + 2

x

.

16. What is the correct interpretation of the slope of the least squares regression line?

(A) When a man's shoe size increases by one, his height increases by two inches.

(B) When a man's height increases by two inches, we predict his shoe size to increase

by one.

(C) When a man's shoe size increases by two, we predict his height to increase by one

inch.

(D) When a man's height increases by one inch, we predict his shoe size to increase by

two.

(E) When a man's shoe size increases by one, we predict his height to increase by two

option (E) When a man's shoe size... View the full answer

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