Using Minitab to Lighten the Workload

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For any sizeable data set, and even for the small ones, you'll definitely want to use Minitab to calculate the confidence and/or prediction intervals for you. To do so:

(1) Under the Stat menu, select Stat, and then select Regression:

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(2) In the pop-up window that appears, in the box labeled Response, specify the response and, in the box labeled Predictors, specify the predictor variable:

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Then, click on the Options... button.

(3) In the pop-up window that appears, in the box labeled Prediction intervals for new observations, type the value of the predictor variable for which you'd like a confidence interval and/or prediction interval:

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In the box labeled Confidence level, type your desired confidence level. (The default is 95.)  Then, select OK.

(4) And, select OK on the main pop-up window. The output should appear in the session window. The first part of the output should look something like this:

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while the second part of the output, which contains the requested intervals, should look something like this:

minitab