5. Consider the acetylene data used by Marquardt and Snee (1975),

and apply conventional normal linear regression of standardised y values on standardised predictors x1 − x3. Then apply ridge regression with

(a) k set at 0.05 and

(b) k an unknown additional parameter, and compare inferences over the three approaches.

Transcribed Image Text:

Reactor Ratio of H Contact time Conversion temperature, x to n-heptone, x2 (S), X3 percent, y 1300 7.5 0.012 49 1300 9 0.012 50.2 1300 11 0.0115 50.5 1300 13.5 0.013 48.5 1300 17 0.0135 47.5 1300 23 0.012 44.5 1200 5.3 0.04 28 1200 7.5 0.038 31.5 1200 11 0.032 34.5 1200 13.5 0.026 35 1200 17 0.034 38 1200 23 0.041 38.5 1100 5.3 0.084 15 1100 7.5 0.098 17 1100 11 0.092 20.5 1100 17 0.086 29.5