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Which of the following statements are true in describing the Bonferroni method of testing hypotheses on multiple coefficients? (Check all that apply) A. It modifies the "one-at-a-time" method by using the F-statistic to test joint hypotheses. B. It modifies the "one-at-a-time" method so that it uses different critical values that ensure that its size equals its significance level. O C. Its advantage is that it applies very generally. O D. Its advantage is that it can have a very high power and is used especially when the regressors are highly correlated. Suppose a researcher studying the factors affecting the monthly rent of a one-bedroom apartment (measured in dollars) estimates the following regression using data collected from 130 houses: Rent 602.87-1.45 Location+2.12 Neighborhood- 1.14 Crime, where Location denotes the distance of the apartment from downtown (measured in miles), Neighborhood denotes the average monthly income of the people living in t neighborhood of the apartment, and Crime denotes the crime rate within the 5 km radius of the apartment. The researcher wants to test the hypothesis that the coefficient on Location, B, and the coefficient on Neighborhood, B, are jointly zero, against the hypothesis that at least one of these coefficients is nonzero. The test statistics for testing the null hypotheses that B, =0 and B, = 0 are calculated to be 1.56 and 2.05, respectively Supp that these test statistics are uncorrelated. The F-statistic associated with the above test will be (Round your answer to two decimal places.) v the null hvpothesis. At the 5% significance level. we will Click to select your answer(s).

Which of the following statements are true in describing the Bonferroni method of testing hypotheses on multiple coefficients? (Check all that apply) A. It modifies the "one-at-a-time" method by using the F-statistic to test joint hypotheses. B. It modifies the "one-at-a-time" method so that it uses different critical values that ensure that its size equals its significance level. O C. Its advantage is that it applies very generally. O D. Its advantage is that it can have a very high power and is used especially when the regressors are highly correlated. Suppose a researcher studying the factors affecting the monthly rent of a one-bedroom apartment (measured in dollars) estimates the following regression using data collected from 130 houses: Rent 602.87-1.45 Location+2.12 Neighborhood- 1.14 Crime, where Location denotes the distance of the apartment from downtown (measured in miles), Neighborhood denotes the average monthly income of the people living in t neighborhood of the apartment, and Crime denotes the crime rate within the 5 km radius of the apartment. The researcher wants to test the hypothesis that the coefficient on Location, B, and the coefficient on Neighborhood, B, are jointly zero, against the hypothesis that at least one of these coefficients is nonzero. The test statistics for testing the null hypotheses that B, =0 and B, = 0 are calculated to be 1.56 and 2.05, respectively Supp that these test statistics are uncorrelated. The F-statistic associated with the above test will be (Round your answer to two decimal places.) v the null hvpothesis. At the 5% significance level. we will Click to select your answer(s).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Which of the following statements are true in describing the Bonferroni method of testing hypotheses on multiple coefficients? (Check all that apply) A. It modifies the "one-at-a-time" method by using the F-statistic to test joint hypotheses. B. It modifies the "one-at-a-time" method so that it uses different critical values that ensure that its size equals its significance level, C. Its advantage is that it applies very generally D. Its advantage is that it can have a very high power and is used especially when the regressors are highly correlated. Suppose a researcher studying the factors affecting the monthly rent of a one-bedroom apartment (measured in dollars) estimates the following regression using data collected from 130 houses: Rent= 602.87 - 1.45 Location + 2.12 Neighborhood- 1.14 Crime, | where Location denotes the distance of the apartment from downtown (measured in miles), Neighborhood denotes the average monthly income of the people living in the neighborhood of the apartment, and Crime denotes the crime rate within the 5 km radius of the apartment. The researcher wants to test the hypothesis that the coefficient on Location, B, and the coefficient on Neighborhood, B, are jointly zero, against the hypothesis that at %3D least one of these coefficients is nonzero. The test statistics for testing the null hypotheses that B, = 0 and B, =0 are calculated to be 1.56 and 2.05, respectively. Suppose that these test statistics are uncorrelated. The F-statistic associated with the above test will be (Round your answer to two decimal places.) the null hypothesis. At the 5% significance level, we will Click to select your answer(s). DOLL
Transcribed Image Text:Which of the following statements are true in describing the Bonferroni method of testing hypotheses on multiple coefficients? (Check all that apply) A. It modifies the "one-at-a-time" method by using the F-statistic to test joint hypotheses. B. It modifies the "one-at-a-time" method so that it uses different critical values that ensure that its size equals its significance level, C. Its advantage is that it applies very generally D. Its advantage is that it can have a very high power and is used especially when the regressors are highly correlated. Suppose a researcher studying the factors affecting the monthly rent of a one-bedroom apartment (measured in dollars) estimates the following regression using data collected from 130 houses: Rent= 602.87 - 1.45 Location + 2.12 Neighborhood- 1.14 Crime, | where Location denotes the distance of the apartment from downtown (measured in miles), Neighborhood denotes the average monthly income of the people living in the neighborhood of the apartment, and Crime denotes the crime rate within the 5 km radius of the apartment. The researcher wants to test the hypothesis that the coefficient on Location, B, and the coefficient on Neighborhood, B, are jointly zero, against the hypothesis that at %3D least one of these coefficients is nonzero. The test statistics for testing the null hypotheses that B, = 0 and B, =0 are calculated to be 1.56 and 2.05, respectively. Suppose that these test statistics are uncorrelated. The F-statistic associated with the above test will be (Round your answer to two decimal places.) the null hypothesis. At the 5% significance level, we will Click to select your answer(s). DOLL
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