Steam Processing of Peat: A bioengineer wants to model the amount (y) of carbohydrate solubilized during steam processing of peat as a function of temperature ) , exposure time (), and pH value (). Data collected for each of 15 peat samples were used to fit the model

A summary of the regression results follows:

y =-3,000+3.2x_1-.4x_2-1.1x_3

R²=.93

s 1 =2.4

s 2 =.6

s 3 =.8

r₁₂ =.92

r₁₃ =.87

r₂₃ =.81

a)[3 points] Based on these results, the bioengineer concludes that none of the three independent variables and is a useful predictor of carbohydrate amount? Do you agree with this statement? EXPLAIN why or why not.

b)[7 points] Is there evidence of Multicollinearity? DISCUSS

*To receive full credit; your discussion should utilize evidence from:

-Correlations between pairs of independent variables

-Individual t tests of independent variables [hint: calculate these]

-Multiple coefficient of determination