A professor wants to investigate the relationship between the grades students obtain in their midterm exam (X) and the grades they obtain (Y) in the final exam The professor collects data from 60 randomly chosen students. The estimated OLS regression is: 9=45+0.85X where Y, denotes the predicted value of the grades obtained in the final exam by the " individual and X, denotes the grades obtained in the midterm exam From the sample data he makes the following calculations 60 (x -X)* -230 48 =1 60 = 410.25, %3D1 where u, is the square of the residual for the " observation. He wants to test whether the grades obtained in the midterm exam have any effect on the grades obtained in the final exam or not Which of the following are the null and the alternative hypotheses of the test the professor wishes to conduct? OA. Ho B1=0 vs. H B, #0. OB. Ho B=0 85 vs. H, B, 0.85 OC. H. B. #0 vs. H B = 0 Click to select your answer(s).

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Chapter7: Linear Regression
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Problem 4P: A sociologist was hired by a large city hospital to investigate the relationship between the number...
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In the finai exam by tne * indiviauai and x, denotes ine grades obtained in the miaterm exam.
From the sample data he makes the following calculations:
60
(X-X² = 230.48,
60
3D410.25,
j= 1
^2
where u, is the square of the residual for the " observation.
He wants to test whether the grades obtained in the midterm exam have any effect on the grades obtained in the final exam or not.
Which of the following are the null and the alternative hypotheses of the test the professor wishes to conduct?
O A. Ho B1 D0 vs. H, B1 0.
%3D
O B. Ho B, = 0.85 vs. H,: B,±0.85.
OC. Ho B1#0 vs. H, B1 = 0.
D. Ho B,0.85 vs. H, B, = 0.85.
If B, is the estimated slope coefficient, then the value of standard error of the estimated slope (SE (B,)) is
(Round your answer to four decimal places.)
Click to select your answer(s).
W
DELL
Type here to search
Transcribed Image Text:In the finai exam by tne * indiviauai and x, denotes ine grades obtained in the miaterm exam. From the sample data he makes the following calculations: 60 (X-X² = 230.48, 60 3D410.25, j= 1 ^2 where u, is the square of the residual for the " observation. He wants to test whether the grades obtained in the midterm exam have any effect on the grades obtained in the final exam or not. Which of the following are the null and the alternative hypotheses of the test the professor wishes to conduct? O A. Ho B1 D0 vs. H, B1 0. %3D O B. Ho B, = 0.85 vs. H,: B,±0.85. OC. Ho B1#0 vs. H, B1 = 0. D. Ho B,0.85 vs. H, B, = 0.85. If B, is the estimated slope coefficient, then the value of standard error of the estimated slope (SE (B,)) is (Round your answer to four decimal places.) Click to select your answer(s). W DELL Type here to search
A professor wants to investigate the relationship between the grades students obtain in their midterm exam (X) and the grades they obtain (Y) in the final exam.
The professor collects data from 60 randomly chosen students. The estimated OLS regression is
Ý = 45 +0.85X,
where Y, denotes the predicted value of the grades obtained in the final exam by the " individual and X, denotes the grades obtained in the midterm exam.
From the sample data he makes the following calculations:
60
3230 48,
j= 1
60
3D1
^2
where u, is the square of the residual for the " observation.
He wants to test whether the grades obtained in the midterm exam have any effect on the grades obtained in the final exam or not.
Which of the following are the null and the alternative hypotheses of the test the professor wishes to conduct?
OA. Ho B1=0 vs. H B1 #0.
Ho: B1=0 vs. H B, #0.
O B. Ho B=D0.85 vs. H, B,#0.85.
C. Ho BA #0 vs. HA B.=0.
Click to select your answer(s).
DAL
Type here to search
II
Transcribed Image Text:A professor wants to investigate the relationship between the grades students obtain in their midterm exam (X) and the grades they obtain (Y) in the final exam. The professor collects data from 60 randomly chosen students. The estimated OLS regression is Ý = 45 +0.85X, where Y, denotes the predicted value of the grades obtained in the final exam by the " individual and X, denotes the grades obtained in the midterm exam. From the sample data he makes the following calculations: 60 3230 48, j= 1 60 3D1 ^2 where u, is the square of the residual for the " observation. He wants to test whether the grades obtained in the midterm exam have any effect on the grades obtained in the final exam or not. Which of the following are the null and the alternative hypotheses of the test the professor wishes to conduct? OA. Ho B1=0 vs. H B1 #0. Ho: B1=0 vs. H B, #0. O B. Ho B=D0.85 vs. H, B,#0.85. C. Ho BA #0 vs. HA B.=0. Click to select your answer(s). DAL Type here to search II
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