Question

Plssss help

According to a personal trainer's study, the equation yˆ=8.6067x+116.6567 models the average number of calories burned by a 160 lb individual, where x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute jog.


According to this regression equation, what is the approximate calories burned for an individual who spent 30 minutes weight lifting?

Answer 1

An individual who spent 30 minutes weight lifting will burn approximately 142.4768 calories.

Explanation:

Given;

yˆ = 8.6067x + 116.6567 ............................... (1)

Where;

yˆ = The average number of calories burned by a 160 lb individual

x = Amount of time spent weight lifting

Since x is amount of time spent weight lifting, this implies that for an individual who spent 30 minutes weight lifting, x = 30

Substituting x = 30 into equation (1), we have:

yˆ = (8.6067 * 30) + 116.6567

yˆ = 25.8201 + 116.6567

yˆ = 142.4768

Therefore, an individual who spent 30 minutes weight lifting will burn approximately 142.4768 calories.