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Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression TestScore = 562.0320 + (-6.2856) × CS, R ² = 0.09, SER = 12.4 (2.2321) (22.0320) Construct a 95% confidence interval for B₁, the regression slope coefficient. The 95% confidence interval for ẞ₁, the regression slope coefficient, is ( ☐ The t-statistic for the two-sided test of the null hypothesis Ho: B₁ = 0 is Note: Assume a normal distribution. (Round your responses to two decimal places.) (Round your response to four decimal places.) The p-value for the two-sided test of the null hypothesis Ho: B₁ = 0 is Do you reject the null hypothesis at the 1% level? A. No, because the p-value is greater than 0.01. B. Yes, because the p-value is less than 0.01. C. Yes, because the t-statistic is less than 2.58. D. Yes, because the t-statistic is greater than 2.58. The p-value for the two-sided test of the null hypothesis Ho: ẞ₁ = - 6.0 is Without doing any additional calculations, determine whether - (Round your response to four decimal places.) (Round your response to four decimal places.) - 6.0 is contained in the 95% confidence interval for ẞ₁. A. No, - 6.0 is not contained in the 95% confidence interval for B₁. B. Yes, - 6.0 is contained in the 95% confidence interval for B₁. The 99% confidence interval for ẞo is ☐ ). (Round your responses to one decimal place.)

Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression TestScore = 562.0320 + (-6.2856) × CS, R ² = 0.09, SER = 12.4 (2.2321) (22.0320) Construct a 95% confidence interval for B₁, the regression slope coefficient. The 95% confidence interval for ẞ₁, the regression slope coefficient, is ( ☐ The t-statistic for the two-sided test of the null hypothesis Ho: B₁ = 0 is Note: Assume a normal distribution. (Round your responses to two decimal places.) (Round your response to four decimal places.) The p-value for the two-sided test of the null hypothesis Ho: B₁ = 0 is Do you reject the null hypothesis at the 1% level? A. No, because the p-value is greater than 0.01. B. Yes, because the p-value is less than 0.01. C. Yes, because the t-statistic is less than 2.58. D. Yes, because the t-statistic is greater than 2.58. The p-value for the two-sided test of the null hypothesis Ho: ẞ₁ = - 6.0 is Without doing any additional calculations, determine whether - (Round your response to four decimal places.) (Round your response to four decimal places.) - 6.0 is contained in the 95% confidence interval for ẞ₁. A. No, - 6.0 is not contained in the 95% confidence interval for B₁. B. Yes, - 6.0 is contained in the 95% confidence interval for B₁. The 99% confidence interval for ẞo is ☐ ). (Round your responses to one decimal place.)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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 1E
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Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression TestScore = 562.0320 + (-6.2856) × CS, R ² = 0.09, SER = 12.4 (2.2321) (22.0320) Construct a 95% confidence interval for B₁, the regression slope coefficient. The 95% confidence interval for ẞ₁, the regression slope coefficient, is ( ☐ The t-statistic for the two-sided test of the null hypothesis Ho: B₁ = 0 is Note: Assume a normal distribution. (Round your responses to two decimal places.) (Round your response to four decimal places.) The p-value for the two-sided test of the null hypothesis Ho: B₁ = 0 is Do you reject the null hypothesis at the 1% level? A. No, because the p-value is greater than 0.01. B. Yes, because the p-value is less than 0.01. C. Yes, because the t-statistic is less than 2.58. D. Yes, because the t-statistic is greater than 2.58. The p-value for the two-sided test of the null hypothesis Ho: ẞ₁ = - 6.0 is Without doing any additional calculations, determine whether - (Round your response to four decimal places.) (Round your response to four decimal places.) - 6.0 is contained in the 95% confidence interval for ẞ₁. A. No, - 6.0 is not contained in the 95% confidence interval for B₁. B. Yes, - 6.0 is contained in the 95% confidence interval for B₁. The 99% confidence interval for ẞo is ☐ ). (Round your responses to one decimal place.)
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 = 562.0320 + (-6.2856) × CS, R ² = 0.09, SER = 12.4 (2.2321) (22.0320) Construct a 95% confidence interval for B₁, the regression slope coefficient. The 95% confidence interval for ẞ₁, the regression slope coefficient, is ( ☐ The t-statistic for the two-sided test of the null hypothesis Ho: B₁ = 0 is Note: Assume a normal distribution. (Round your responses to two decimal places.) (Round your response to four decimal places.) The p-value for the two-sided test of the null hypothesis Ho: B₁ = 0 is Do you reject the null hypothesis at the 1% level? A. No, because the p-value is greater than 0.01. B. Yes, because the p-value is less than 0.01. C. Yes, because the t-statistic is less than 2.58. D. Yes, because the t-statistic is greater than 2.58. The p-value for the two-sided test of the null hypothesis Ho: ẞ₁ = - 6.0 is Without doing any additional calculations, determine whether - (Round your response to four decimal places.) (Round your response to four decimal places.) - 6.0 is contained in the 95% confidence interval for ẞ₁. A. No, - 6.0 is not contained in the 95% confidence interval for B₁. B. Yes, - 6.0 is contained in the 95% confidence interval for B₁. The 99% confidence interval for ẞo is ☐ ). (Round your responses to one decimal place.)
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