Question

NEED HELP QUICK!!!!! A set of data includes the point (17,3.8) and has the regression equation y=-25x+436. What is the residual for this point

Answer 1

Given:

The regression equation is:

`y=-25x+436`

The given point is (17,3.8).

To find:

The residual for the given point.

Solution:

We have,

`y=-25x+436`

Substituting
`x=17`, we get

`y=-25(17)+436`

`y=-425+436`

`y=11`

The predicted value at
`x=17` is 11.

The given point is (17,3.8). It means the observed value at
`x=17` is 3.8.

Formula for residual:

Residual = Observed value - Predicted value

Residual =
`3.8-11`

Residual =
`-7.2`

Therefore, the residual for the given point is -7.2.