Suppose that (Yi , Xi) satisfy the least square assumptions of a simple linear regression and that ( ) 2 0, i N and is independent of Xi. A sample size of n = 30 yields 2 2 , ˆ 43.2 61.5 , 1,... ,30 0.54, 1.52 (10.2) (7.4) Y X i SER i i = + = = = R Where the numbers in parenthesis are the homoskedastic-only standard errors for the regression coefficients. i. Construct a 99% confidence interval for 0 ii. Test 0 1 1 1 H H : 55 versus : 55 = at the 5% leve.
Suppose that (Yi , Xi) satisfy the least square assumptions of a simple linear regression and that ( ) 2 0, i N and is independent of Xi. A sample size of n = 30 yields 2 2 , ˆ 43.2 61.5 , 1,... ,30 0.54, 1.52 (10.2) (7.4) Y X i SER i i = + = = = R Where the numbers in parenthesis are the homoskedastic-only standard errors for the regression coefficients. i. Construct a 99% confidence interval for 0 ii. Test 0 1 1 1 H H : 55 versus : 55 = at the 5% leve.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4PPS
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Question
Suppose that (Yi , Xi) satisfy the least square assumptions of a simple linear regression and
that ( ) 2 0, i N and is independent of Xi. A
,
ˆ 43.2 61.5 , 1,... ,30 0.54, 1.52
(10.2) (7.4)
Y X i SER i i = + = = = R
Where the numbers in parenthesis are the homoskedastic-only standard errors for the regression
coefficients.
i. Construct a 99% confidence interval for
0
ii. Test
0 1 1 1 H H : 55 versus : 55 =
at the 5% leve.
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