Linear Regression Concepts

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=a+bx

b=-0.878

a=33.782

r2=0.588289

r=-0.767

Use this to predict the number of situps a person who watches 9.5 hours of TV can do

Answer 1

y = 33.782 - 0.878x

r^2 = 0.588289

r = -0.767

For each hour of TV watched per day will decrease the number of situps a person can do by 0.878.

f(9.5) = 33.782 - 0.878(9.5) = 33.782 - 8.341 = 25.441

A person can do around 25 situps if he/she watched 9.5 hours of TV.