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)x CS, R=0.11, ER = 12.4 (22.0320) (2.0111) Construct a 95% confidence interval for B,, the regression slope coefficient. The 95% confidence interval for B,, the regression slope coefficient, is ( D (Round your responses to two decimal places.) The t-statistic for the two-sided test of the null hypothesis Ho: B1 = 0 is (Round your response to four decimal places.) Note: Assume a normal distribution. The p-value for the two-sided test of the null hypothesis Ho: B1 = 0 is (Round your response to four decimal places.) Do you reject the null hypothesis at the 1% level? O A. Yes, because the t-statistic is less than 2.58. O B. Yes, because the p-value is less than 0.01. O C. Yes, because the t-statistic is greater than 2.58. O D. No, because the p-value is greater than 0.01.

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
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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)x CS, R 0.11, ER= 12.4
(22.0320) (2.0111)
Construct a 95% confidence interval for B,, the regression slope coefficient.
The 95% confidence interval for B,, 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 (Round your response to four decimal places.)
Note: Assume a normal distribution.
The p-value for the two-sided test of the null hypothesis Ho: B1 = 0 is (Round your response to four decimal places.)
Do you reject the null hypothesis at the 1% level?
O A. Yes, because the t-statistic is less than 2.58.
O B. Yes, because the p-value is less than 0.01.
O C. Yes, because the t-statistic is greater than 2.58.
O D. No, because the p-value is greater than 0.01.
Click to select your answer(s).
P Type here to search
耳|
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)x CS, R 0.11, ER= 12.4 (22.0320) (2.0111) Construct a 95% confidence interval for B,, the regression slope coefficient. The 95% confidence interval for B,, 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 (Round your response to four decimal places.) Note: Assume a normal distribution. The p-value for the two-sided test of the null hypothesis Ho: B1 = 0 is (Round your response to four decimal places.) Do you reject the null hypothesis at the 1% level? O A. Yes, because the t-statistic is less than 2.58. O B. Yes, because the p-value is less than 0.01. O C. Yes, because the t-statistic is greater than 2.58. O D. No, because the p-value is greater than 0.01. Click to select your answer(s). P Type here to search 耳|
This Question: 2 pts
2 of 21 (20 complete)
LHe 33 70 LUmuence nervai iui P1, uEleyiessiOII Siope CueIICient, iS (| J:| V- RUUnu youi TespUnses iU tWu ueciiai pldues.)
The t-statistic for the two-sided test of the null hypothesis Ho: B, = 0 is
(Round your response to four decimal places.)
Note: Assume a normal distribution.
The p-value for the two-sided test of the null hypothesis Ho: B1 = 0 is . (Round your response to four decimal places.)
Do you reject the null hypothesis at the 1% level?
O A. Yes, because the t-statistic is less than 2.58.
O B. Yes, because the p-value is less than 0.01.
O C. Yes, because the t-statistic is greater than 2.58.
O D. No, because the p-value is greater than 0.01.
The p-value for the two-sided test of the null hypothesis Ho: B, = -6.0 is (Round your response to four decimal places.)
Without doing any additional calculations, determine whether - 6.0 is contained in the 95% confidence interval for B.
O A. No, -6.0 is not contained in the 95% confidence interval for B,
O B. Yes, -6.0 is contained in the 95% confidence interval for B1
Click to select your answer(s).
9 Type here to search
Transcribed Image Text:This Question: 2 pts 2 of 21 (20 complete) LHe 33 70 LUmuence nervai iui P1, uEleyiessiOII Siope CueIICient, iS (| J:| V- RUUnu youi TespUnses iU tWu ueciiai pldues.) The t-statistic for the two-sided test of the null hypothesis Ho: B, = 0 is (Round your response to four decimal places.) Note: Assume a normal distribution. The p-value for the two-sided test of the null hypothesis Ho: B1 = 0 is . (Round your response to four decimal places.) Do you reject the null hypothesis at the 1% level? O A. Yes, because the t-statistic is less than 2.58. O B. Yes, because the p-value is less than 0.01. O C. Yes, because the t-statistic is greater than 2.58. O D. No, because the p-value is greater than 0.01. The p-value for the two-sided test of the null hypothesis Ho: B, = -6.0 is (Round your response to four decimal places.) Without doing any additional calculations, determine whether - 6.0 is contained in the 95% confidence interval for B. O A. No, -6.0 is not contained in the 95% confidence interval for B, O B. Yes, -6.0 is contained in the 95% confidence interval for B1 Click to select your answer(s). 9 Type here to search
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