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

Question 42

Multiple Choice

Which of the following statements are true?


A) Before the least squares estimates β^1 and β^2\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 value x+,β^0+β^1x+x \text { value } x ^ { + } , \hat { \beta } _ { 0 } + \hat { \beta } _ { 1 } x ^ { + }
(the height of the estimated regression line above x+x ^ { + }
) gives either a point estimate of the expected value of Y when x=x+x = x ^ { + }
Or a point prediction of the Y value that will result from a single new observation made at x=x+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 y1y^1,y2y^2,,yny^ny _ { 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.

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