(Y, X, X2) satisty the following assumptions ; in addition, var (ux, X) - 1 and var (X) -7. A random sample of size n 321 is drawn from the population. Use the formula below to answer the following questions, in 1- Assume that X, and X, are uncorrelated. Compute the variance of , The variance of , is, (Round your response to five decimal places) Assume that corr (X. X2) -0.67. Compute the variance of ,. The variance of , is, (Round your response to five decimal places) Which of the following statements is correct? O A The larger the correlation between X, and X. the smaller the variance of p. Nevertheless, it is best include X, in the regression if it is a determinant of Y. OB. The larger the correlation between X and X. the larger the variance of . Thus, it is best to leave X, out of the regression even if it is a determinant of Y.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
icon
Related questions
Question
4
(Y. X, X2) satisty the following assumptions ; in addition, var (u,x, X2) = 1 and var (X) =7. A random sample of size n = 321 is drawn from the
population. Use the formula below to answer the following questions,
2
1-
Assume that X, and X, are uncorelated. Compute the variance of ,
The variance of , is,
(Round your response to five decimal places)
Assume that cor (X. X2) =0.67. Compute the variance of
The variance of , is,
口
(Round your response to five decimal places)
Which of the following statements is correct?
OA The larger the correlation between X, and X2. the smaller the variance of . Nevertheless, it is best include X, in the regression if it is a
determinant of Y.
O B. The larger the correlation between X, and X. the larger the variance of . Thus, it is best to leave X, out of the regression even if it is a
determinant of Y
Transcribed Image Text:(Y. X, X2) satisty the following assumptions ; in addition, var (u,x, X2) = 1 and var (X) =7. A random sample of size n = 321 is drawn from the population. Use the formula below to answer the following questions, 2 1- Assume that X, and X, are uncorelated. Compute the variance of , The variance of , is, (Round your response to five decimal places) Assume that cor (X. X2) =0.67. Compute the variance of The variance of , is, 口 (Round your response to five decimal places) Which of the following statements is correct? OA The larger the correlation between X, and X2. the smaller the variance of . Nevertheless, it is best include X, in the regression if it is a determinant of Y. O B. The larger the correlation between X, and X. the larger the variance of . Thus, it is best to leave X, out of the regression even if it is a determinant of Y
"L' "X, X2 J"X,
Assume that X, and X, are uncorrelated. Compute the variance of .
The variance of , is.
(Round your response to five decimal places)
Assume that corr (X,, X2) = 0.67. Compute the variance of ,.
The variance of 3, is,
(Round your response to five decimal places)
Which of the following statements is correct?
OA. The larger the correlation between X, and X2, the smaller the variance of . Nevertheless, it is best include X, in the regression if it is a
determinant of Y.
O B. The larger the correlation between X, and X2, the larger the variance of . Thus, it is best to leave X, out of the regression even if it is a
determinant of Y.
C. The larger the corelation between X, and X2, the smaller the variance of ,. Thus, it is best to leave X, out of the regression even if it is a
determinant of Y.
D. The larger the correlation between X, and X2, the larger the variance of . Nevertheless, it is best include X, in the regression if it is a
determinant of Y.
Transcribed Image Text:"L' "X, X2 J"X, Assume that X, and X, are uncorrelated. Compute the variance of . The variance of , is. (Round your response to five decimal places) Assume that corr (X,, X2) = 0.67. Compute the variance of ,. The variance of 3, is, (Round your response to five decimal places) Which of the following statements is correct? OA. The larger the correlation between X, and X2, the smaller the variance of . Nevertheless, it is best include X, in the regression if it is a determinant of Y. O B. The larger the correlation between X, and X2, the larger the variance of . Thus, it is best to leave X, out of the regression even if it is a determinant of Y. C. The larger the corelation between X, and X2, the smaller the variance of ,. Thus, it is best to leave X, out of the regression even if it is a determinant of Y. D. The larger the correlation between X, and X2, the larger the variance of . Nevertheless, it is best include X, in the regression if it is a determinant of Y.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt