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

Question 23

Multiple Choice

Which of the following statements are true?


A) The denominator of the slope β^1\hat { \beta } _ { 1 }
Of the least squares line is Sxx=Σ(xixˉ) 2S _ { x x } = \Sigma \left( x _ { i } - \bar { x } \right) ^ { 2 }
, which is a constant since it depends only on the xisx _ { i } ^ { \prime } s
And not on the YisY _ { i} ^ { \prime } s
B) The slope β^1\hat { \beta } _ { 1 }
Of the least squares line is a linear function of the "independent" random variables Y1Y2,YnY _ { 1 } Y _ { 2 } \ldots \ldots , Y _ { n }
Each of which is normally distributed.
C) The distribution of the slope β^1\hat { \beta } _ { 1 }
Of the least squares line is always centered at the value of the slope β1\beta _ { 1 }
Of the population regression line.
D) All of the above statements are true.
E) None of the above statements are true.

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