Table B. 14 contains data on the transient points of an electronic inverter. Using only the regressors $x_{1}, \ldots, x_{4}$, fit a multiple regression model to these data.

a. Investigate the adequacy of the model.

b. Suppose that observation 2 was recorded incorrectly. Delete this observation, refit the model, and perform a thorough residual analysis. Comment on the difference in results that you observe.

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10 11 12 13 14 15 -2345678ODUCEME Observation Number 1 x x2 X3 X4 X5 y 3 8 30 3 4 8 10 20 8 6 24 9 4 10 16 3 12 10 8 3 3 4 16 5 17 2 18 10 15 19 15 20 15 21 10 22 23 6 24 2 25 3 38625534448 3 3 3 2333332468 65342 3 3 0042232232680 00 386479RONOM6 225664863m 3881 0 0.787 0 0.293 6 0 1.710 4 12 0 0.203 0 0.806 0 4.713 25 12 25 25 8 25 25 333333 25 0.607 9.107 9.210 1.365 4.554 0.293 50 2.252 50 9.167 50 0.694 50 0.379 50 0.485 50 3.345 50 0.208 75 0.201 75 0.329 75 4.966 75 1.362 75 1.515 8 75 0.751