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Which of the Following Statements Are Not True?
A) β^0+β^1x+\hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { + }

Question 62

Multiple Choice

Which of the following statements are not true?


A) β^0+β^1x+\hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { + }
, where x+x ^ { + }
Is a specified value of the independent variable x, can be regarded either as a point estimate of  Which of the following statements are not true? A)   \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { + }  , where  x ^ { + }  Is a specified value of the independent variable x, can be regarded either as a point estimate of   (the expected or true average value of Y when  x = x ^ {+}  )  or as a prediction of the Y value that will result from a single observation made when  x = x ^ { + }  )  B)  Before we obtain sample data, both  \hat { \beta } _ { 0 }  And  \hat { \beta } _ { 1 }  Are subject to sampling variability - that is, they are both statistics whose values will vary from sample to sample. C)  A confidence interval for a mean y value in regression is based on properties of the sampling distribution of the statistic  \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { + }  )  D)  All of the above statements are true. E)  None of the above statements are true.
(the expected or true average value of Y when x=x+x = x ^ {+}
) or as a prediction of the Y value that will result from a single observation made when x=x+x = x ^ { + }
)
B) Before we obtain sample data, both β^0\hat { \beta } _ { 0 }
And β^1\hat { \beta } _ { 1 }
Are subject to sampling variability - that is, they are both statistics whose values will vary from sample to sample.
C) A confidence interval for a mean y value in regression is based on properties of the sampling distribution of the statistic β^0+β^1x+\hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { + }
)
D) All of the above statements are true.
E) None of the above statements are true.

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