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

question 23

Multiple Choice

Which of the following statements are true?

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