Question

question #5
use the regression equation ( y = - 3.23 + 3.30 x ) and the table below to calculate the residual when ( x = 4 ).

1.4
-2.0
-0.7
-1.8

Explanation:

Step1: Calculate the predicted value

Substitute \(x = 4\) into the regression equation \(y=-3.23 + 3.30x\).

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Step2: Find the observed value

From the table, when \(x = 4\), the observed value \(y_{obs}=8\).

Step3: Calculate the residual

The formula for residual is \(e=y_{obs}-\hat{y}\).

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Answer:

-2.0