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RNA analysis of wheat genes. Engineers from the Department of Crop and Soil Sciences at Washington State University used regression to estimate the number of copies of a gene transcript in an aliquot of RNA extracted from a wheat plant (Electronic Journal of Biotechnology, April 15, 2004). The proportion (x1) of RNA extracted from a cold-exposed wheat plant was varied, and the transcript copy number (y, in thousands) was measured for each of two cloned genes: Mn Superoxide Dismutose (MnSOD) and Phospholipose D (PLD). The data are listed in the accompanying table. Letting x1 = RNA proportion and x2 = {1 if MnSOD, 0 if PLD), consider the second-order model for number of copies (y):
E(y) = β0 + β1x1 + β2x12 + β3x2 + β4x1x2 + β5x12x2
(a) MINITAB was used to fit the model to the data. Locate the least squares prediction equation for y on the printout shown below.
(b) Is the overall model statistically useful for predicting transcript copy number (y)? Test using α = .01.
(c) Based on the MINITAB results, is there evidence to indicate that transcript copy number (y) is curvilinearly related to proportion of RNA (x1)? Explain.
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