Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression TestScore = 483.9720+ (-5.4126) × CS, R ² = 0.10, SER = 10.7 (18.9720) (2.0553) Construct a 95% confidence interval for B₁, the regression slope coefficient. The 95% confidence interval for B₁, the regression slope coefficient, is (☐, ☐). (Round your responses to two decimal places.) The t-statistic for the two-sided test of the null hypothesis Ho: B₁ = 0 is Note: Assume a normal distribution. 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. Yes, because the t-statistic is greater than 2.58. B. Yes, because the p-value is less than 0.01. C. Yes, because the t-statistic is less than 2.58. D. No, because the p-value is greater than 0.01. (Round your response to four decimal places.) (Round your response to four decimal places.) The p-value for the two-sided test of the null hypothesis Ho: B₁ = -5.2 is (Round your response to four decimal places.) Without doing any additional calculations, determine whether - 5.2 is contained in the 95% confidence interval for B₁. A. Yes, - 5.2 is contained in the 95% confidence interval for B₁. B. No, -5.2 is not contained in the 95% confidence interval for ẞ₁. The 99% confidence interval for ẞo is ). (Round your responses to one decimal place.) 2

Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression TestScore = 483.9720+ (-5.4126) × CS, R ² = 0.10, SER = 10.7 (18.9720) (2.0553) Construct a 95% confidence interval for B₁, the regression slope coefficient. The 95% confidence interval for B₁, the regression slope coefficient, is (☐, ☐). (Round your responses to two decimal places.) The t-statistic for the two-sided test of the null hypothesis Ho: B₁ = 0 is Note: Assume a normal distribution. 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. Yes, because the t-statistic is greater than 2.58. B. Yes, because the p-value is less than 0.01. C. Yes, because the t-statistic is less than 2.58. D. No, because the p-value is greater than 0.01. (Round your response to four decimal places.) (Round your response to four decimal places.) The p-value for the two-sided test of the null hypothesis Ho: B₁ = -5.2 is (Round your response to four decimal places.) Without doing any additional calculations, determine whether - 5.2 is contained in the 95% confidence interval for B₁. A. Yes, - 5.2 is contained in the 95% confidence interval for B₁. B. No, -5.2 is not contained in the 95% confidence interval for ẞ₁. The 99% confidence interval for ẞo is ). (Round your responses to one decimal place.) 2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

please accuretely 

 

Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression TestScore = 483.9720+ (-5.4126) × CS, R ² = 0.10, SER = 10.7 (18.9720) (2.0553) Construct a 95% confidence interval for B₁, the regression slope coefficient. The 95% confidence interval for B₁, the regression slope coefficient, is (☐, ☐). (Round your responses to two decimal places.) The t-statistic for the two-sided test of the null hypothesis Ho: B₁ = 0 is Note: Assume a normal distribution. 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. Yes, because the t-statistic is greater than 2.58. B. Yes, because the p-value is less than 0.01. C. Yes, because the t-statistic is less than 2.58. D. No, because the p-value is greater than 0.01. (Round your response to four decimal places.) (Round your response to four decimal places.) The p-value for the two-sided test of the null hypothesis Ho: B₁ = -5.2 is (Round your response to four decimal places.) Without doing any additional calculations, determine whether - 5.2 is contained in the 95% confidence interval for B₁. A. Yes, - 5.2 is contained in the 95% confidence interval for B₁. B. No, -5.2 is not contained in the 95% confidence interval for ẞ₁. The 99% confidence interval for ẞo is ). (Round your responses to one decimal place.) 2
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 = 483.9720+ (-5.4126) × CS, R ² = 0.10, SER = 10.7 (18.9720) (2.0553) Construct a 95% confidence interval for B₁, the regression slope coefficient. The 95% confidence interval for B₁, the regression slope coefficient, is (☐, ☐). (Round your responses to two decimal places.) The t-statistic for the two-sided test of the null hypothesis Ho: B₁ = 0 is Note: Assume a normal distribution. 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. Yes, because the t-statistic is greater than 2.58. B. Yes, because the p-value is less than 0.01. C. Yes, because the t-statistic is less than 2.58. D. No, because the p-value is greater than 0.01. (Round your response to four decimal places.) (Round your response to four decimal places.) The p-value for the two-sided test of the null hypothesis Ho: B₁ = -5.2 is (Round your response to four decimal places.) Without doing any additional calculations, determine whether - 5.2 is contained in the 95% confidence interval for B₁. A. Yes, - 5.2 is contained in the 95% confidence interval for B₁. B. No, -5.2 is not contained in the 95% confidence interval for ẞ₁. The 99% confidence interval for ẞo is ). (Round your responses to one decimal place.) 2
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS