Question

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-0.74 b=36.359 r2=0.767376 r=-0.876 Use this to predict the number of situps a person who watches 8.5 hours of TV can do (to one decimal place)

Answer 1

A person who watches 8.5 hours of TV can do 30.4 sit ups.

Explanation:

The regression equation is used to predict or estimate the value of the response (or dependent) variables using the information about the explanatory (or predictor) variables.

The general form of a regression equation is:

`y=ax+b`

Here,

y = dependent variable

x = independent variable

a = intercept

b = slope

The regression equation representing the relationship between hours of TV watched per day (x) and number of sit ups a person can do (y) is:

`y=-0.74x+36.359`

Compute the number of sit ups a person who watches 8.5 hours of TV can do as follows:

`y=-0.74x+36.359`

`=(-0.74* 8.5)+36.359\\=-6.29+36.659\\=30.369\\\approx 30.4`

Thus, a person who watches 8.5 hours of TV can do 30.4 sit ups.