Suppose that (Y;, ✗;) satisfy the assumptions specified here and in addition, u; is N (0, 62) and independent of X;. A random sample of n = 23 is drawn and yields Ŷ= = 46.96 + 69.03X, R² = 0.23, SER = 1.5 (13.9) (7.3) Where the numbers in parentheses are the homoskedastic-only standard errors for the regression coefficients Bo and B₁ respectively. Refer to the student t distribution with n - 2 degrees of freedom to answer the following questions. Construct a 95% confidence interval for Bo using the student t distribution (with n- 2 degrees of freedom) table available here. The 95% confidence interval for ẞo is (Round your responses to two decimal places) Suppose you wanted to test the hypothesis that B₁ equals 55 at the 5% level. That is, Ho B₁ =55 vs. H₁: B₁ #55 Report the t-statistic for this test. The t-statistic is (Round your response to two decimal places) Based on the t-statistic computed above, would you reject the null hypothesis at the 5% level? A. No. B. Yes. Suppose you wanted to test that ẞ₁ equals 55 versus the alternative that B₁ is greater than 55 at the 5% level. That is, Ho B₁ =55 vs. H₁: B₁ > 55 . Based on the t-statistic of 1.92 computed above, would you reject the null hypothesis at the 5% level? A. Yes.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4A: Problems In Applying The Linear Regression Model
Section: Chapter Questions
Problem 2E
Question

please ANSWER COREECTLY PLEASE FULLY ASAP

Suppose that (Y;, ✗;) satisfy the assumptions specified here and in addition, u; is N (0, 62) and independent of X;. A random sample of n = 23 is drawn and yields
Ŷ=
= 46.96 + 69.03X, R² = 0.23, SER = 1.5
(13.9) (7.3)
Where the numbers in parentheses are the homoskedastic-only standard errors for the regression coefficients Bo and B₁ respectively. Refer to the student t distribution with n - 2 degrees of freedom
to answer the following questions.
Construct a 95% confidence interval for Bo using the student t distribution (with n- 2 degrees of freedom) table available here.
The 95% confidence interval for ẞo is
(Round your responses to two decimal places)
Suppose you wanted to test the hypothesis that B₁ equals 55 at the 5% level. That is,
Ho B₁ =55 vs. H₁: B₁ #55
Report the t-statistic for this test.
The t-statistic is
(Round your response to two decimal places)
Based on the t-statistic computed above, would you reject the null hypothesis at the 5% level?
A. No.
B. Yes.
Suppose you wanted to test that ẞ₁ equals 55 versus the alternative that B₁ is greater than 55 at the 5% level. That is,
Ho B₁ =55 vs. H₁: B₁ > 55
.
Based on the t-statistic of 1.92 computed above, would you reject the null hypothesis at the 5% level?
A. Yes.
Transcribed Image Text:Suppose that (Y;, ✗;) satisfy the assumptions specified here and in addition, u; is N (0, 62) and independent of X;. A random sample of n = 23 is drawn and yields Ŷ= = 46.96 + 69.03X, R² = 0.23, SER = 1.5 (13.9) (7.3) Where the numbers in parentheses are the homoskedastic-only standard errors for the regression coefficients Bo and B₁ respectively. Refer to the student t distribution with n - 2 degrees of freedom to answer the following questions. Construct a 95% confidence interval for Bo using the student t distribution (with n- 2 degrees of freedom) table available here. The 95% confidence interval for ẞo is (Round your responses to two decimal places) Suppose you wanted to test the hypothesis that B₁ equals 55 at the 5% level. That is, Ho B₁ =55 vs. H₁: B₁ #55 Report the t-statistic for this test. The t-statistic is (Round your response to two decimal places) Based on the t-statistic computed above, would you reject the null hypothesis at the 5% level? A. No. B. Yes. Suppose you wanted to test that ẞ₁ equals 55 versus the alternative that B₁ is greater than 55 at the 5% level. That is, Ho B₁ =55 vs. H₁: B₁ > 55 . Based on the t-statistic of 1.92 computed above, would you reject the null hypothesis at the 5% level? A. Yes.
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