Question

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

Answer 1

E. None of the Above

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