A dataset consists of the composition of 77 breakfast cereals. For each cereal, the number of calories/serving and the grams of fat/serving were measured. A regression line was obtained as follows: Calories = 110 + 10 (grams of fat) Suppose that two cereals differ by 5 grams of fat per serving. The caloric content per serving would differ by?

Question

Mathematics

Maximilian Carey

6 October, 13:52

A dataset consists of the composition of 77 breakfast cereals. For each cereal, the number of calories/serving and the grams of fat/serving were measured. A regression line was obtained as follows: Calories = 110 + 10 (grams of fat) Suppose that two cereals differ by 5 grams of fat per serving. The caloric content per serving would differ by?

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Mohammad Mendoza · Answer 1

50 grams of fat

Step-by-step explanation:

The equation of the line generated by the regression is

Calories = 110 + 10 (grams of fat), where grams of fat is a variable.

Since the value of the grams of fat is multiplied by 10, if the two cereals differ by 5 grams of fat per serving, then the caloric content per serving will differ by:

10 x 5 = 50 grams of fat