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MathematicsMathematics
12 January, 00:16

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.

+1
Answers (1)
  1. 12 January, 02:29
    0
    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
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Home » Mathematics » 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.
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