Which of the following statements is true? OA. In a restricted regression, the alternative hypothesis is allowed to be true. OB. We would reject the null hypothesis if the sum f squared residuals (SSR) from the unrestricted regression is sufficiently smaller than that from the restricted regression. O c. We would fail to reject the null hypothesis if the sum of squared residuals (SSR) from the restricted regression is sufficiently smaller than that from the unrestricted regression. OD. In an unrestricted regression, the null hypothesis is forced to be true. A statistics student wants to study the factors which affected the sale of Ben & Jerry's ice creams (S) across the world on last year's National Ice Cream Day. He selects three factors - the average price of the ice creams sold in that region (P), the average temperature on that day in that region (7), and the regional expenditure on advertising their ice cream in the week leading to that day (E). For his study, he selects a random sample of 110 stores and estimates the following regression function: S-3.75 -0.45P+0.60T+0.70E, R² = 0.45. By imposing restrictions on the true coefficients, the student wishes to test the null hypothesis that the coefficients on T and E are jointly 0 against the alternative that atleast one of them is not equal to 0, while controlling for the other variables. So, the restricted regression equation is: The homoskedasticity-only F-statistic value associated with the above test is. (Round your answer to two decimal places.) At the 5% significance level, the student will the joint null hypothesis. Ŝ=3.75-0.45P, R² = 0.37.
Which of the following statements is true? OA. In a restricted regression, the alternative hypothesis is allowed to be true. OB. We would reject the null hypothesis if the sum f squared residuals (SSR) from the unrestricted regression is sufficiently smaller than that from the restricted regression. O c. We would fail to reject the null hypothesis if the sum of squared residuals (SSR) from the restricted regression is sufficiently smaller than that from the unrestricted regression. OD. In an unrestricted regression, the null hypothesis is forced to be true. A statistics student wants to study the factors which affected the sale of Ben & Jerry's ice creams (S) across the world on last year's National Ice Cream Day. He selects three factors - the average price of the ice creams sold in that region (P), the average temperature on that day in that region (7), and the regional expenditure on advertising their ice cream in the week leading to that day (E). For his study, he selects a random sample of 110 stores and estimates the following regression function: S-3.75 -0.45P+0.60T+0.70E, R² = 0.45. By imposing restrictions on the true coefficients, the student wishes to test the null hypothesis that the coefficients on T and E are jointly 0 against the alternative that atleast one of them is not equal to 0, while controlling for the other variables. So, the restricted regression equation is: The homoskedasticity-only F-statistic value associated with the above test is. (Round your answer to two decimal places.) At the 5% significance level, the student will the joint null hypothesis. Ŝ=3.75-0.45P, R² = 0.37.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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Which of the following statements is true?
A. In a restricted regression, the alternative hypothesis is allowed to be true.
B. We would reject the null hypothesis if the sum of squared residuals (SSR) from the unrestricted regression is sufficiently smaller than that from the restricted regression.
C. We would fail to reject the null hypothesis if the sum of squared residuals (SSR) from the restricted regression is sufficiently smaller than that from the unrestricted regression.
D. In an unrestricted regression, the null hypothesis is forced to be true.
A statistics student wants to study the factors which affected the sale of Ben & Jerry's ice creams (S) across the world on last year's National Ice Cream Day. He selects three factors - the average
price of the ice creams sold in that region (P), the average temperature on that day in that region (7), and the regional expenditure on advertising their ice cream in the week leading to that day (E).
For his study, he selects a random sample of 110 stores and estimates the following regression function:
S-3.75 -0.45P+0.60T+0.70E, R² = 0.45.
By imposing restrictions on the true coefficients, the student wishes to test the null hypothesis that the coefficients on T and E are jointly 0 against the alternative that atleast one of them is not equal
to 0, while controlling for the other variables.
So, the restricted regression equation is:
The homoskedasticity-only F-statistic value associated with the above test is
(Round your answer to two decimal places.)
At the 5% significance level, the student will
reject
the joint null hypothesis.
fail to reiect
S-3.75 -0.45P, R² = 0.37.
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