4. Data are collected on the amount of fat (in grams) and calories in the french

fry orders at nine fast food restaurants. The least-squares regression line for the

data is û = 274.34 + 9.55x, where ŷ is the predicted number of calories and 2

is grams of fat. Which of the following is the correct interpretation of the slope

of the least-squares regression line?

(A) The calories increase by 9.55, on average.

(B) For every increase in fat, the calories increase as well.

(C) Every increase of 1 gram of fat causes an increase of 9.55 calories.

(D) For every increase of 1 gram of fat, the predicted calories increase by 9.55.

(E) For every increase of 1 calorie, the predicted grams of fat increase by 9.55.

Question

Spencer Montgomery

Mathematics

25 April, 15:08

4. Data are collected on the amount of fat (in grams) and calories in the french

fry orders at nine fast food restaurants. The least-squares regression line for the

data is û = 274.34 + 9.55x, where ŷ is the predicted number of calories and 2

is grams of fat. Which of the following is the correct interpretation of the slope

of the least-squares regression line?

(A) The calories increase by 9.55, on average.

(B) For every increase in fat, the calories increase as well.

(C) Every increase of 1 gram of fat causes an increase of 9.55 calories.

(D) For every increase of 1 gram of fat, the predicted calories increase by 9.55.

(E) For every increase of 1 calorie, the predicted grams of fat increase by 9.55.

+5

Answers (1)

Know the Answer?

Corinne Key · Answer 1

Option D

Step-by-step explanation:

The general equation of the line is y = mx + c

Where m is the slope and c is the initial value

Given: y = 274.34 + 9.55x

where y is the predicted number of calories and x is grams of fat

So, the slope of the line is 9.55 and the initial calories = 274.34

So, at x = 0, y = 274.34

And at x = 1 gram, y = 274.34 + 9.55

And at x = 2 gram, y = 274.34 + 9.55 * 2

Which mean for every increase of 1 gram of fat, the predicted calories increase by 9.55.

So, the answer is option D