A year-long fitness center study sought to determine if there is a relationship between the amount of muscle mass gained y (kilograms) and the weekly time spent working out under the guidance of a trainer x (minutes.) The resulting least-squares regression line for the study is y = 2.04 + 0.12x.
For each additional minute (weekly) spent working out, the average muscle mass changed by
A) 2.04 kg
B) 0.12 kg
C) 204 kg.
D) 12 kg.

Question

Quizplus · Accepted Answer

According to the given regression equation, for each additional minute spent working out, the average muscle mass increased by 0.12 kilograms. Therefore, the correct answer is B. Option A is the intercept term, which represents the average muscle mass gained when the time spent working out is zero. Option C and D are both incorrect as they are too large and unrealistic values for muscle gain.

A Year-Long Fitness Center Study Sought to Determine If There