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

Question

3 years ago

10

for this point

1 answer:

Anna11 [10] · Answer 1 · 2022-06-01T17:21:23+03:00

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.