Where applicable, indicate who are the components of the matrix formulation of the RLM model considered. 4.16. You are given the following matrices computed for a regression analysis: 9 136 269 136 2,114 4,176 260 X'X= = 3,583 269 4,176 8,257 7,104 260 3,583 7,104 12,276 45 648 X'y = 1,283 1,821 9.610 0.008 -0.279 -0.044 (X'X)-1) = 0.008 0.509 -0.258 0.001 -0.279 -0.258 0.139 0.001 0.001 0.0003 -0.044 0.001 -1.163461 0.135270 = (X'X)-(X'y)= 0.019950 0.121954 y'y = 285 a. Use these results to construct the analysis of variance table. b. Give the computed regression equation and the standard errors of the regression coefficients. c. Compare each estimated regression coefficient to its standard error and use the t test to test the simple hypotheses that each individual regression coefficient is equal to zero. State your conclusions about B1, B2, and B.
Where applicable, indicate who are the components of the matrix formulation of the RLM model considered. 4.16. You are given the following matrices computed for a regression analysis: 9 136 269 136 2,114 4,176 260 X'X= = 3,583 269 4,176 8,257 7,104 260 3,583 7,104 12,276 45 648 X'y = 1,283 1,821 9.610 0.008 -0.279 -0.044 (X'X)-1) = 0.008 0.509 -0.258 0.001 -0.279 -0.258 0.139 0.001 0.001 0.0003 -0.044 0.001 -1.163461 0.135270 = (X'X)-(X'y)= 0.019950 0.121954 y'y = 285 a. Use these results to construct the analysis of variance table. b. Give the computed regression equation and the standard errors of the regression coefficients. c. Compare each estimated regression coefficient to its standard error and use the t test to test the simple hypotheses that each individual regression coefficient is equal to zero. State your conclusions about B1, B2, and B.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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