7. a) In fitting the model Y = Bo + B₁X₁ + B₂X₂ + € to a data set of n = 7 entities, we obtained the following [XTX]-¹ matrix: 1 16464 5488 0-784 0 588 0 -784 0 196 If S = 1.1495 and Ŷ = 1.714 - 1.107X₁ -0.036X2, perform the following: a) Test ₂ = 0 vs 3₂ <0 at the 5% significance level. b) Construct a 95% confidence interval for 3₁. Based on this interval, decide whether X₁ should be retained in the model.
7. a) In fitting the model Y = Bo + B₁X₁ + B₂X₂ + € to a data set of n = 7 entities, we obtained the following [XTX]-¹ matrix: 1 16464 5488 0-784 0 588 0 -784 0 196 If S = 1.1495 and Ŷ = 1.714 - 1.107X₁ -0.036X2, perform the following: a) Test ₂ = 0 vs 3₂ <0 at the 5% significance level. b) Construct a 95% confidence interval for 3₁. Based on this interval, decide whether X₁ should be retained in the model.
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.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
Problem 1EA: Find the second-order contact matrix PQ mentioned in the text.
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