Question: Consider the regression model fit to the X-ray inspection data in Exercise 12-15. Use rads as the response. (a) Calculate 95% confidence intervals on each

Consider the regression model fit to the X-ray inspection data in Exercise 12-15. Use rads as the response.

(a) Calculate 95% confidence intervals on each regression coefficient.

(b) Calculate a 99% confidence interval on mean rads at 15 milliamps and 1 second on exposure time.

(c) Calculate a 99% prediction interval on rads for the same values of the regressors used in the part (b).


Exercise 12-15

An article in Electronic Packaging and Production (2002, Vol. 42) considered the effect of X-ray inspection of integrated circuits. The rads (radiation dose) were studied as a function of current (in milliamps) and exposure time (in minutes).

The data are in Table E12-7.

Exposure Time 0.25 Rads mAmps 7.4 10 14.8 10 0.5 29.6 10 59.2 10 88.8 10 3 296 10 10 444 10 15 592 10 20 11.1 15 0.25 22

133.2 15 444 15 10 666 15 15 888 15 20 14.8 20 0.25 29.6 20 0.5 59.2 20 1 118.4 20 2 177.6 20 3 592 20 10 888 20 15 1184

Exposure Time 0.25 Rads mAmps 7.4 10 14.8 10 0.5 29.6 10 59.2 10 88.8 10 3 296 10 10 444 10 15 592 10 20 11.1 15 0.25 22.2 15 0.5 44.4 15 1 88.8 15 2 133.2 15 444 15 10 666 15 15 888 15 20 14.8 20 0.25 29.6 20 0.5 59.2 20 1 118.4 20 2 177.6 20 3 592 20 10 888 20 15 1184 20 20 22.2 30 0.25 44.4 0.5 88.8 30 177.6 30 2 266.4 30 3 888 30 10 1332 30 15 1776 30 20 29.6 40 0.25 59.2 40 0.5 118.4 40 1 236.8 40 2 355.2 40 3 1184 40 10 1776 40 15 2368 40 20

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