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A bioengineer wants to model the amount (y) of carbohydrate solubilized during steam processing of peat as a function of temeprature (x 1 ) ,

A bioengineer wants to model the amount (y) of carbohydrate solubilized during steam processing of peat as a function of temeprature (x 1 ) , exposure time (x 2 ) , and pH value (x 3 ) . Data collected for each of 15 peat sampels were used to fit the model

E(y) = β 0 1 x 1 + β 2 x 2 + β 3 x 3


A summary of the regression results follows:

= –3,000 + 3.2 x1 –.4 x2 – 1.1 x3 R 2 = .93

S β̂1 = 2.4 S β̂2 = .6 S β̂3 = .8

r 12 = .92 r 13 = .87 r 23 = .81


Based on these results, the bioengineer concludes that none of the three independent variables, x 1 , x 2 , and x 3 , is a useful predictor of carbohydrate amount y . Do you agree with this statement? Explain.

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