please answer fully correctly ASAP ONLY PROVIDE THE CORRECT ANSWER 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:Ŷ₁ = 52 +0.85X;,where Y, denotes the predicted value of the grades obtained in the final exam by the 1th individual and X; denotes the grades obtained in the midterm exam.From the sample data he makes the following calculations:^2whereis the square of the residual for the ith observation.60Σ (x-x)² = 250.12,i=160Σ(x-x)²=410.25,i=1He 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?A. Ho B₁0 vs. H₁: B₁ = 0.B. Ho B₁ =0.85 vs. H₁: ß₁ # 0.85.OC. Ho B₁ 0.85 vs. H₁: B₁ = 0.85.OD. Ho B₁ =0 vs. H₁: ß₁ #0.If B₁ is the estimated slope coefficient, then the value of standard error of the estimated slope (SE (B₁)) is ☐.(Round your answer to four decimal places.)

The null hypothesis will state no difference.The alternative hypothesis will state that there is a…

Answered: A professor wants to investigate the…

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 1E

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please answer fully correctly ASAP

ONLY PROVIDE THE CORRECT ANSWER

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:
Ŷ₁ = 52 +0.85X;,
where Y, denotes the predicted value of the grades obtained in the final exam by the 1th individual and X; denotes the grades obtained in the midterm exam.
From the sample data he makes the following calculations:
^2
where
is the square of the residual for the ith observation.
60
Σ (x-x)² = 250.12,
i=1
60
Σ(x-x)²=410.25,
i=1
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?
A. Ho B₁0 vs. H₁: B₁ = 0.
B. Ho B₁ =0.85 vs. H₁: ß₁ # 0.85.
OC. Ho B₁ 0.85 vs. H₁: B₁ = 0.85.
OD. Ho B₁ =0 vs. H₁: ß₁ #0.
If B₁ is the estimated slope coefficient, then the value of standard error of the estimated slope (SE (B₁)) is ☐.
(Round your answer to four decimal places.)

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