Pl 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?

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

Step-by-step 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.

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²