Steam processing of peat. A bioengineer wants to model the (y) of carbohydrate solubilized during steam processing
Question:
Steam processing of peat. A bioengineer wants to model the (y) of carbohydrate solubilized during steam processing of peat as a function of temperature (x1), exposure time (x2), and pH value (x3). Data collected for each of 15 peat samples were used to it the model.
E(y) = β 0 + β 1 x 1 + β 2 x2+ β 3 x 3
A summary of the regression results follows:
Ŷ = -3,000 + 3.2 x 1 -4x 2 -1.1 x 3 R 2 = 0.93
Sβ̂ 1 = 2.4, Sβ̂ 2 = 0.6, Sβ̂ 3 = 0.8
r 12 = 0.92, r 13 = 0.87, r 23 = 0.81
Based on these results, the bioengineer concludes that none of the three independent variable x 1, x 2 and x 3 is a useful predictor of carbohydrate amount, y. Do you agree with this statement? Explain.
Probability & Statistics for Engineers & Scientists
ISBN: 978-0130415295
7th Edition
Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying