Question

Use a 95​% prediction interval to predict the useful life of a brand A cutting tool when the cutting speed is 45 meters per minute. Repeat for brand B. Compare the widths of the two intervals to each other and to the two intervals you calculated in part a. Comment on the reasons for any difference.

Answer 1

Answer:

The answer resides in the explanation.

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Step-by-step explanation:

The predicted useful life of a brand A cutting tool when the speed is 45 meters per minute is 1.2 to 5.5 hours.

The predicted useful life of a brand B cutting tool when the speed is 45 meters per minute is 3.4 to 5.4 hours.

The prediction interval for brand A is larger than the prediction interval for brand B because the estimated standard error of  y^ is different for the two intervals.

The prediction intervals are both larger than the corresponding confidence intervals.

The standard error for the estimated mean value of y is smaller than the standard error for the predicted value of y.

The predicted useful life of a brand A cutting tool that is operated at 100  meters per minute is -0.59 hours

The actual predicted useful life of a brand A cutting tool when the speed is 100 meters per minute is 0.0 to 2.3 hours.