A year-long fitness center study sought to predict the amount of muscle mass gained (kilograms) based on the weekly time spent working out under the guidance of a trainer (minutes.) The slope of the regression line for the study was 0.12 and the y-intercept was 2.04.

For each additional minute (weekly) spent working out, the average muscle mass changed by:

A) 14.40 kg

B) 750.84 kg

C) 16.44 kg

D) 18.48 kg

E) None of the above

Question

Mathematics

Clare

3 August, 08:21

A year-long fitness center study sought to predict the amount of muscle mass gained (kilograms) based on the weekly time spent working out under the guidance of a trainer (minutes.) The slope of the regression line for the study was 0.12 and the y-intercept was 2.04.

For each additional minute (weekly) spent working out, the average muscle mass changed by:

A) 14.40 kg

B) 750.84 kg

C) 16.44 kg

D) 18.48 kg

E) None of the above

+3

Answers (1)

Know the Answer?

Alonzo Leblanc · Answer 1

E. None of the Above

Step-by-step explanation:

The slope of the regression line for the study, m = 0.12

The y-intercept, c = 2.04.

Using the Slope - Intercept form of the Equation of a line: y=mx+c

The line is:

y=0.12x+2.04

For every additional minute x, the average muscle mass changed by 0.12kg, the Slope of the line.

CHECK

y (1) = 0.12 (1) + 2.04=2.16kg

y (2) = 0.12 (2) + 2.04=2.28kg

Change: y (2) - y (1) = 2.28-2.16=0.12kg