business statistics

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=-1.345

b=26.317

r2=0.467856

r=-0.684

Use this to predict the number of situps a person who watches 10.5 hours of TV can do (to one decimal place)

Answer 1

This is a single predictor regression problem where the dependent Y is the number of situps and the independent X is the number of hours of TV watched. In standard regression form, the intercept is 26.317 and the slope is -1.345. As such each hour of TV watching predicts a 1.345 decrease in the number of situps performed. If an individual watches TV for 10.5 hours, that reduction is expected to rise to 1.345*10.5 or 14.1225. The predicted value is given by 26.317 - 14.1225 = 12.194