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Using MINITAB, calculate the point estimate for the conditional mean of the response variable that corresponds to the predictor variable, $x=2$.

Procedure for MINITAB:

Step 1: Select Regression > Regression from the Stat menu.

Step 2: In the Response box, type $y$.

Step 3: In Predictors, fill in the $x$ columns.

Step 4: Under Prediction interval for fresh observations, put $2$ in Options.

Step 5: Type $95$ in the Confidence Level box.

Step 6: Select Fits, Confidence Limits, SEs of Fits, and Prediction Limits in Storage.

Step 7: Click the OK button.

MINITAB Output:

• MINITAB is used to calculate the $95\%$confidence interval for the conditional mean of the response variable corresponding to the predictor variable $x=2$.
• The $95\%$confidence interval for the conditional mean of the response variable corresponding to the predictor variable $x=2$is $(-5.8868,21.8868)$, according to the MINITAB output in part (a).

• MINITAB is used to calculate the predicted value of the response variable corresponding to the predictor variable$x=2$.
• The anticipated value of the response variable corresponding to the predictor value $x=2$ is $8$ according to the MINITAB output in part (a).

• MINITAB is used to calculate the $95\%$prediction interval for the conditional mean of the response variable corresponding to the predictor variable $x=2$.
• The $95\%$predictioninterval for the conditional mean of the response variable corresponding to the predictor variable $x=2$is $(-17.6059,33.6059)$, according to the MINITAB output in part (a).