Question

The equation yˆ=0.09x+55.64 models a person's height, in inches, where x is the weight of the person in pounds. According to the regression equation, what is the approximate height of a person that weighs 160 pounds?

Answer 1

y = 0.09*x + 55.64
y = 0.09*160 + 55.64 <<--- replace x with 160
y = 14.4 + 55.64
y = 70.04

The person who weighs 160 pounds is predicted to be about 70.04 inches tall

Note: 70.04 inches = 5 ft, 10.04 inches (so roughly 5'10")

Answer 2

Height is 70.04 inches.

Explanation:

Given that the equation

`yˆ=0.09x+55.64` models a person's height, in inches, where x is the weight of the person in pounds.

We have to find out the approximate height of the person that weighs 160 pounds

Algebraically we have to find y for x = 160

Substitute for y in the given equation.

`y=0.09(160)+55.64\\y=70.04`