Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression TestScore = 494.3800 + (-5.5290) x Cs. R = 0.10. SER = 10.9 (19.3800) (24089) Construct a 95% confidence interval for B,. the regression slope coefficient The 85% confidence interval for B,. the regression slope coefficient, is (0D (Round your responses to two decimal piaces) The t-statistic for the two-sided test of the null hypothesis H:ß = 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 (Round your response to four decimal places) Do you reject the null hypothesis at the 1% level? O A. No, because the p-value is greater than 0.01. O B. Yes, because the t-statistic is greater than 2.58. O C. Yes, because the p-value is less than 0.01.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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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 = 494.3800 + (-5.5290) x CS. R = 0.10. SER = 10.9
(19.3800) (2.4089)
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: 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 H: B =0 is (Round your response to four decimal places)
Do you reject the null hypothesis at the 1% level?
O A. No, because the p-value is greater than 0.01.
O B. Yes, because the t-statistic is greater than 2.58.
OC. Yes, because the p-value is less than 0.01.
O D. Yes, because the t-statistic is less than 2.58.
The p-value for the two-sided test of the null hypothesis H: B = -5.3 is . (Round your response to four decimal places.)
Without doing any additional calculations, determine wihether - 5.3 is contained in the 95% confidence interval for B-
O A. No, - 5.3 is not contained in the 95% confidence interval for B,.
O B. Yes, - 5.3 is contained in the 95% confidence interval for B,
The 99% confidence interval for Bo is (. ). (Round your responses to one decimal piace.)
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 = 494.3800 + (-5.5290) x CS. R = 0.10. SER = 10.9 (19.3800) (2.4089) 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: 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 H: B =0 is (Round your response to four decimal places) Do you reject the null hypothesis at the 1% level? O A. No, because the p-value is greater than 0.01. O B. Yes, because the t-statistic is greater than 2.58. OC. Yes, because the p-value is less than 0.01. O D. Yes, because the t-statistic is less than 2.58. The p-value for the two-sided test of the null hypothesis H: B = -5.3 is . (Round your response to four decimal places.) Without doing any additional calculations, determine wihether - 5.3 is contained in the 95% confidence interval for B- O A. No, - 5.3 is not contained in the 95% confidence interval for B,. O B. Yes, - 5.3 is contained in the 95% confidence interval for B, The 99% confidence interval for Bo is (. ). (Round your responses to one decimal piace.)
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