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=-0.761 b=20.501 r^2=0.643204 r=0.802 Use this to predict the number of situps a person who watches 2 hours of TV can do ( to one decimal place )

Answer 1

The number of situps is approximately 19

Explanation:

Regression Line

A regression line is a line that best fits any given dataset in terms of having the smallest overall distance from the line to the points.

Regression lines are useful to forecast the behavior of the dependent variable.

We are given the statistics related to determining if there is a relationship between hours of TV watched per day (x) and the number of situps a person can do (y).

The line is given as follows:

y=-0.761x+20.501

The rest of the parameters can only be used as a reference to evaluate how good the line approaches the dataset.

Now use the line to predict the number of situps a person who watches x=2 hours of TV can do:

y=-0.761*2+20.501

y=19

The number of situps is approximately 19