Consider the following residual plot for the least squares regression line of y versus x. 10- 5- -5- -10 4 6 8 10 12 14 X Which of the following is an appropriate conclusion based on the residual plot? (A) There is a pattern in the residual plot, so there will not be a linear trend in the scatterplot of y versus .x. (B) There is a strong, positive linear relationship between x and y because there is no pattern in the residual plot. (C) Because there is no pattern in the residual plot, there will be a linear trend apparent in the scatterplot of y versus x. (D) There will be a linear trend apparent in the scatterplot of y versus x, but the data values will tend to fall closer to the regression line for smaller values of x than for larger values of x. (E) Because none of the residuals equal zero, the least squares regression line will not be useful for prediction.

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Consider the following residual plot for the least squares regression line of y versus x.
10-
5-
-5-
-10
4
6
8
10
12
14
X
Which of the following is an appropriate conclusion based on the residual plot?
(A) There is a pattern in the residual plot, so there will not be a linear trend in the scatterplot of y
versus .x.
(B) There is a strong, positive linear relationship between x and y because there is no pattern in the
residual plot.
(C) Because there is no pattern in the residual plot, there will be a linear trend apparent in the
scatterplot of y versus x.
(D) There will be a linear trend apparent in the scatterplot of y versus x, but the data values will tend
to fall closer to the regression line for smaller values of x than for larger values of x.
(E) Because none of the residuals equal zero, the least squares regression line will not be useful for
prediction.
Transcribed Image Text:Consider the following residual plot for the least squares regression line of y versus x. 10- 5- -5- -10 4 6 8 10 12 14 X Which of the following is an appropriate conclusion based on the residual plot? (A) There is a pattern in the residual plot, so there will not be a linear trend in the scatterplot of y versus .x. (B) There is a strong, positive linear relationship between x and y because there is no pattern in the residual plot. (C) Because there is no pattern in the residual plot, there will be a linear trend apparent in the scatterplot of y versus x. (D) There will be a linear trend apparent in the scatterplot of y versus x, but the data values will tend to fall closer to the regression line for smaller values of x than for larger values of x. (E) Because none of the residuals equal zero, the least squares regression line will not be useful for prediction.
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