Solved

Which of the Following Statements Are True?
A) the Assumptions β^1\hat { \beta } _ { 1 }

Question 73

Multiple Choice

Which of the following statements are true?


A) The assumptions of the simple linear regression model imply that the standardized variable  Which of the following statements are true? A)  The assumptions of the simple linear regression model imply that the standardized variable   Has a t distribution with n - 2 degrees of freedom. B)  The estimated standard error of  \hat { \beta } _ { 1 }  ; namely   , will tend to be small when there is little variability in the distribution of  \hat { \beta } _ { 1 }  And large otherwise. C)  There is an estimated standard error for the statistic  \hat { \beta } _ { 0 }  From which a confidence interval for the intercept  \beta _ { 0 }  Of the population regression line can be calculated. D)  The most commonly encountered pair of hypotheses about the slope  \beta _ { 1 }  Of the population regression line is  H _ { 0 } : \beta _ { 1 } = 0 \text { versus } H _ { \pm } : \beta _ { 1 } \pm 0  E)  All of the above statements are true.
Has a t distribution with n - 2 degrees of freedom.
B) The estimated standard error of β^1\hat { \beta } _ { 1 }
; namely  Which of the following statements are true? A)  The assumptions of the simple linear regression model imply that the standardized variable   Has a t distribution with n - 2 degrees of freedom. B)  The estimated standard error of  \hat { \beta } _ { 1 }  ; namely   , will tend to be small when there is little variability in the distribution of  \hat { \beta } _ { 1 }  And large otherwise. C)  There is an estimated standard error for the statistic  \hat { \beta } _ { 0 }  From which a confidence interval for the intercept  \beta _ { 0 }  Of the population regression line can be calculated. D)  The most commonly encountered pair of hypotheses about the slope  \beta _ { 1 }  Of the population regression line is  H _ { 0 } : \beta _ { 1 } = 0 \text { versus } H _ { \pm } : \beta _ { 1 } \pm 0  E)  All of the above statements are true.
, will tend to be small when there is little variability in the distribution of β^1\hat { \beta } _ { 1 }
And large otherwise.
C) There is an estimated standard error for the statistic β^0\hat { \beta } _ { 0 }
From which a confidence interval for the intercept β0\beta _ { 0 }
Of the population regression line can be calculated.
D) The most commonly encountered pair of hypotheses about the slope β1\beta _ { 1 }
Of the population regression line is H0:β1=0 versus H±:β1±0H _ { 0 } : \beta _ { 1 } = 0 \text { versus } H _ { \pm } : \beta _ { 1 } \pm 0
E) All of the above statements are true.

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents