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Which of the Following Statements Are Not True?
A) Let Y^=β^0+β^x+\hat { Y } = \hat { \beta } _ { 0 } + \hat { \beta } x ^ { + }

Question 78

Multiple Choice

Which of the following statements are not true?


A) Let Y^=β^0+β^x+\hat { Y } = \hat { \beta } _ { 0 } + \hat { \beta } x ^ { + }
Where x+x ^ { + }
Is some fixed value of x, then the mean value of Y^\hat { Y }
Is E( Y^\hat { Y }
) = β^0+β^1x+\hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { + }
)
B) β^0+β^1x+\hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { +}
Is an unbiased estimator for β0+β1x+\beta _ { 0 } + \beta _ { 1 } x ^ { + }
(i) e., for  Which of the following statements are not true? A)  Let  \hat { Y } = \hat { \beta } _ { 0 } + \hat { \beta } x ^ { + }  Where  x ^ { + }  Is some fixed value of x, then the mean value of  \hat { Y }  Is E(  \hat { Y }  )  =  \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { + }  )  B)   \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { +}  Is an unbiased estimator for  \beta _ { 0 } + \beta _ { 1 } x ^ { + }  (i) e., for   )  C)  The estimation  \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { + }  For   Is more precise when  x ^ { + }  Is near the center of the  x _ { i}  's then when it is far from the x values at which observations have been made. D)  All of the above statements are true. E)  None of the above statements are true.
)
C) The estimation β^0+β^1x+\hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { + }
For  Which of the following statements are not true? A)  Let  \hat { Y } = \hat { \beta } _ { 0 } + \hat { \beta } x ^ { + }  Where  x ^ { + }  Is some fixed value of x, then the mean value of  \hat { Y }  Is E(  \hat { Y }  )  =  \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { + }  )  B)   \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { +}  Is an unbiased estimator for  \beta _ { 0 } + \beta _ { 1 } x ^ { + }  (i) e., for   )  C)  The estimation  \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { + }  For   Is more precise when  x ^ { + }  Is near the center of the  x _ { i}  's then when it is far from the x values at which observations have been made. D)  All of the above statements are true. E)  None of the above statements are true.
Is more precise when x+x ^ { + }
Is near the center of the xix _ { i}
's then when it is far from the x values at which observations have been made.
D) All of the above statements are true.
E) None of the above statements are true.

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