Which of the Following Statements Are Not True?
A) the Slope

question 99

Multiple Choice

Which of the following statements are not true?

• A) The slope \(\hat { \beta } _ { 1 }\)
• Of the least squares line is an unbiased estimator of the slope coefficient \(\beta _ { 1 }\)
• Of the true regression line.
• B) The variance \(\hat { \beta } _ { 1 }\)
• Of the least squares line equals the variance \(\sigma ^ { 2 }\)
• Of the random error \( \varepsilon\)
• Divided by \(\sqrt { S _ { xx } }\)
• , where \(S _ {xx } = \sum \left( x _ { i } - \bar { x } \right) ^ { 2 }\)
• C) Values of \(x _ { i}\)
• All close to one another imply a highly variable estimator \(\hat { \beta } _ { 1 }\)
• Of the slope \(\beta _ { 1 }\)
• Of the true regression line.
• D) Values of \(x _ { i }\)
• That are quite spread out results in a more precise estimator \(\hat { \beta } _ { 1 }\)
• Of the slope \(\beta _ { 1 }\)
• Of the true regression line
• E) All of the above statements are true

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