Lhe regression TestScore = 541.2160 + (-6.0528) x CS, R = 0.11, SER = 12.0 (21.2160) (2.3426) onstruct a 95% confidence interval for B,, the regression slope coefficient. ne 95% confidence interval for B4, the regression slope coefficient, is (, ). (Round your responses to two decimal places.) he t-statistic for the two-sided test of the null hypothesis Ho: B1 = 0 is. (Round your response to four decimal places.) ote: Assume a normal distribution. he p-value for the two-sided test of the null hypothesis Ho: B1 = 0 is. (Round your response to four decimal places.) o you reject the null hypothesis at the 1% level? D A. Yes, because the p-value is less than 0.01. O B. Yes, because the t-statistic is greater than 2.58. OC. Yes, because the t-statistic is less than 2.58.

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O A. No, -5.8 is not contained in the 95% confidence interval for B,.
B. Yes, -5.8 is contained in the 95% confidence interval for B1.
The 99% confidence interval for Bo is ( D. (Round your responses to one decimal place.)
Transcribed Image Text:O A. No, -5.8 is not contained in the 95% confidence interval for B,. B. Yes, -5.8 is contained in the 95% confidence interval for B1. The 99% confidence interval for Bo is ( D. (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 = 541.2160 + (-6.0528)× CS, R = 0.11, SER= 12.0
(21.2160) (2.3426)
Construct a 95% confidence interval for B,, 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: ß1 = 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: B, = 0 is
is. (Round your response to four decimal places.)
Do you reject the null hypothesis at the 1% level?
O A. Yes, because the p-value is less than 0.01.
O B. Yes, because the t-statistic is greater than 2.58.
O C. Yes, because the t-statistic is less 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: B1.
= - 5.8 is
(Round your response to four decimal places.)
Without doing any additional calculations, determine whether - 5.8 is contained in the 95% confidence interval for B..
O A. No, -5.8 is not contained in the 95% confidence interval for B4.
O B. Yes, - 5.8 is contained in the 95% confidence interval for B,.
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 = 541.2160 + (-6.0528)× CS, R = 0.11, SER= 12.0 (21.2160) (2.3426) Construct a 95% confidence interval for B,, 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: ß1 = 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: B, = 0 is is. (Round your response to four decimal places.) Do you reject the null hypothesis at the 1% level? O A. Yes, because the p-value is less than 0.01. O B. Yes, because the t-statistic is greater than 2.58. O C. Yes, because the t-statistic is less 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: B1. = - 5.8 is (Round your response to four decimal places.) Without doing any additional calculations, determine whether - 5.8 is contained in the 95% confidence interval for B.. O A. No, -5.8 is not contained in the 95% confidence interval for B4. O B. Yes, - 5.8 is contained in the 95% confidence interval for B,.
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