The following artificial data are designed to illustrate the effect of correlated and uncorrelated explanatory variables:

Here is relevant Minitab output:

Locate the 95% prediction interval. Explain why Minitab gave the €˜€˜very extreme X values€™€™ warning.

38 3 4 6 2 38 3 36 325 9315 34 2 4 4 8234 25 2 2 3 3 2142 6132 1121 1 20 5 V. . 856 0. 402 o.000 0.928 0.956 0.262 SUBC Predict at x3V1v6. The regress1 equation is y#10.0 + 5.00 x + 2.00 w + 1.00 v s=2.646 R-sq 89.5% R-sgt adj ) 55.6% : = Fit Stdev.Fit 95% P.1. 33 000 4.077 ( 23.595. 42.405) 21.788, 44.212) xx x denotes a row wich x values away trom the center xx denotes a row with very extreme x values