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.)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
please answer correctly fast:
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.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
Recommended textbooks for you
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education