Question

A regression was run to determine if there is a relationship between hours of tv watched per day (x) and the number of situps a person can do (y).The results of the regression were:y=ax+ba=−1.077b=30.98r2=0.744769r=−0.863Use this to predict the number of situps a person who watches 13.5 hours of TV can do.

Answer 1

The number of situps is: 16.4405

Explanation:

Given

`y = ax + b`

`a =-1.077`

`b=30.98`

`r^2 = 0.74476`

Required

Predict y when
`x = 13.5`

In the result, we have:

`y = ax + b`

`a =-1.077`

`b=30.98`

This implies that:

`y = -1.077x + 30.98`

To make prediction when
`x = 13.5`

We have:

`y = -1.077*13.5 + 30.98`

`y = -14.5395 + 30.98`

`y = 16.4405`