An engineer at a semiconductor company wants to model the relationship between the device HFE (y) and three parameters: Emitter-RS (x1), Base-RS (x2), and Emitter-to-

Base RS (x3). The data are shown in the following table.

(a) Estimate the regression coefficients. Write the multiple linear regression model. Comment on the relationship found between the set of independent variables and the dependent variable.

(b) Compute the residuals.

(c) Compute SSE and estimate the variance.

(d) Compute the coefficient of determination, R2, and adjusted coefficient of multiple determination, R2 Adjusted.
Comment on their values.

(e) Construct the ANOVA table and test for significance of regression.
Comment on your results.

(f) Find the standard error of the individual coefficients.
(g) Use a t-test to test for significance of the individual coefficients at 0.05. Comment on your results.
(h) Construct 95% CIs on the individual coefficients.
Compare your results with those found in part (g) and comment.
(i) Perform a model adequacy check, including computing studentized residuals and Cook’s distance measure for each of the observations. Comment on your results.
( j) Compute the variance inflation factors and comment on the presence of multicollinearity.

Transcribed Image Text:

x1 Emitter-RS x2 X3 Emitter-to- y Base-RS Base RS HFE 14.620 226.00 7.000 128.40 15.630 220.00 3.375 52.62 14.620 217.40 6.375 113.90 15.000 220.00 6.000 98.01 14.500 226.50 7.625 139.90 15.250 224.10 6.000 102.60 16.120 220.50 3.375 48.14 15.130 223.50 6.125 109.60 15.500 217.60 5.000 82.68 15.130 228.50 6.625 112.60 15.500 230.20 5.750 97.52 16.120 226.50 3.750 59.06 15.130 226.60 6.125 111.80 15.630 225.60 5.375 89.09 15.380 229.70 5.875 101.00 14.380 234.00 8.875 171.90 15.500 230.00 4.000 66.80 14.250 224.30 8.000 157.10 14.500 240.50 10.870 208.40 14.620 223.70 7.375 133.40