Calculating prediction interval in multiple regression using Mahalanobis distance

In TI Nspire, the prediction interval can easily be obtained from the Statistic function Confidence Interval > Multiple Reg Interval.

predinterval1

On the result section, the lower and upper prediction intervals are displayed for convenient reference.
predinterval2

Alternatively, using Mahalanobis distance, this prediction interval value can be calculated as in below.

predinterval3

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