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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
[
![7. a) In fitting the model Y = ßo + B1X1 + ß₂X₂ + € 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 Y = 1.714 - 1.107X₁ -0.036X2, perform the following:
a) Test 3₂ = 0 vs 3₂ <0 at the 5% significance level.
b) Construct a 95% confidence interval for ₁. Based on this interval, decide whether
X₁ should be retained in the model.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4113e1c-31b1-4c6c-bcf1-9ebcadc67f7b%2Fbd442307-7406-4533-a78e-6f29a42b2df7%2Fix0p6t9_processed.png&w=3840&q=75)
Transcribed Image Text:7. a) In fitting the model Y = ßo + B1X1 + ß₂X₂ + € 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 Y = 1.714 - 1.107X₁ -0.036X2, perform the following:
a) Test 3₂ = 0 vs 3₂ <0 at the 5% significance level.
b) Construct a 95% confidence interval for ₁. Based on this interval, decide whether
X₁ should be retained in the model.
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