Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression TestScore = 499.5840 + (-5.5872) × CS, R² = 0.09, SER = 11.0 (19.5840) (2.1879) Construct a 95% confidence interval for ẞ₁, the regression slope coefficient. The 95% confidence interval for B₁, the regression slope coefficient, is ( - 9.93, responses to two decimal places.) The t-statistic for the two-sided test of the null hypothesis Ho: B₁₁ = 0 is four decimal places.) Note: Assume a normal distribution. - 1.25). (Round your -2.5537. (Round your response to The p-value for the two-sided test of the null hypothesis Ho: B₁ = 0 is 0.0120. (Round your response to four decimal places.) Suppose that (Y;, X;) satisfy the assumptions specified here and in addition, u; is N (0, 62) and independent of X;. A random sample of n = 13 is drawn and yields Y = 53.37+ 68.18X, R² = 0.91, SER = 1.7 (5.7) (8.3) 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 B using the student & distribution (with n - 2 degrees of freedom) table available here. The 95% confidence interval for ẞo is [40.82, 65.92 ]. (Round your responses to two decimal places) Suppose you wanted to test the hypothesis that ß 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)
Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression TestScore = 499.5840 + (-5.5872) × CS, R² = 0.09, SER = 11.0 (19.5840) (2.1879) Construct a 95% confidence interval for ẞ₁, the regression slope coefficient. The 95% confidence interval for B₁, the regression slope coefficient, is ( - 9.93, responses to two decimal places.) The t-statistic for the two-sided test of the null hypothesis Ho: B₁₁ = 0 is four decimal places.) Note: Assume a normal distribution. - 1.25). (Round your -2.5537. (Round your response to The p-value for the two-sided test of the null hypothesis Ho: B₁ = 0 is 0.0120. (Round your response to four decimal places.) Suppose that (Y;, X;) satisfy the assumptions specified here and in addition, u; is N (0, 62) and independent of X;. A random sample of n = 13 is drawn and yields Y = 53.37+ 68.18X, R² = 0.91, SER = 1.7 (5.7) (8.3) 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 B using the student & distribution (with n - 2 degrees of freedom) table available here. The 95% confidence interval for ẞo is [40.82, 65.92 ]. (Round your responses to two decimal places) Suppose you wanted to test the hypothesis that ß 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)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade
classes, estimates the OLS regression
TestScore = 499.5840 + (-5.5872) × CS, R² = 0.09, SER = 11.0
(19.5840)
(2.1879)
Construct a 95% confidence interval for ẞ₁, the regression slope coefficient.
The 95% confidence interval for B₁, the regression slope coefficient, is ( - 9.93,
responses to two decimal places.)
The t-statistic for the two-sided test of the null hypothesis Ho: B₁₁ = 0 is
four decimal places.)
Note: Assume a normal distribution.
- 1.25). (Round your
-2.5537. (Round your response to
The p-value for the two-sided test of the null hypothesis Ho: B₁ = 0 is 0.0120. (Round your response to four
decimal places.)
![Suppose that (Y;, X;) satisfy the assumptions specified here and in addition, u; is N (0, 62) and independent
of X;. A random sample of n = 13 is drawn and yields
Y = 53.37+ 68.18X, R² = 0.91, SER = 1.7
(5.7) (8.3)
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 B using the student & distribution (with n - 2 degrees of freedom) table
available here.
The 95% confidence interval for ẞo is [40.82, 65.92 ].
(Round your responses to two decimal places)
Suppose you wanted to test the hypothesis that ß 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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fc0ee15-0f91-464a-9c89-ff2e773a521f%2F0f40449e-96a5-4bc3-a182-7f0cadccc273%2Ffp1d3g8_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that (Y;, X;) satisfy the assumptions specified here and in addition, u; is N (0, 62) and independent
of X;. A random sample of n = 13 is drawn and yields
Y = 53.37+ 68.18X, R² = 0.91, SER = 1.7
(5.7) (8.3)
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 B using the student & distribution (with n - 2 degrees of freedom) table
available here.
The 95% confidence interval for ẞo is [40.82, 65.92 ].
(Round your responses to two decimal places)
Suppose you wanted to test the hypothesis that ß 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)
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