Which of the Following Statements Are True?
A) Before the Least

question 25

Multiple Choice

Which of the following statements are true?

• A) Before the least squares estimates \(\hat { \beta } _ { 1 } \text { and } \hat { \beta } _ { 2 }\)
• Are computed, a scatter plot should be examined to see whether a linear probabilistic model is plausible.
• B) For a fixed \(x \text { value } x ^ { + } , \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { + }\)
• (the height of the estimated regression line above \(x ^ { + }\)
• ) gives either a point estimate of the expected value of Y when \(x = x ^ { + }\)
• Or a point prediction of the Y value that will result from a single new observation made at \(x = x ^ { + }\)
• )
• C) The least squares regression line should not be used to make a prediction for an x value much beyond the range of the data x values.
• D) The residuals are the vertical deviations \(y _ { 1 } - \hat { y } _ { 1 } , y _ { 2 } - \hat { y } _ { 2 } , \ldots \ldots , y _ { n } - \hat { y } _ { n }\)
• From the estimated regression line.
• E) All of the above statements are true.