Prediction interval, Applied Statistics

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Prediction Interval

We would like to construct a prediction interval around  206_prediction interval.png  which would contain the actual Y.

If n  ≥  30,   206_prediction interval.png  ± Zse would be the interval, where Z is the appropriate Standard Normal Value.

If n < 30,   206_prediction interval.png  ± tse would be the interval, where t is the appropriate t value (with n - 2 degrees of freedom).

Example 

In the case of the pharmaceutical firm, at X = Rs.1 crore the 90% prediction interval is 22 ± 2.132 x 3.24.


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