Which of the following statements are not true?
A) Provided that the model is correct, no residual plot should exhibit distinct patterns.
B) Provided that the model is correct, the residuals should be randomly distributed about 0 according to a normal distribution, so all but a very few standardized residuals should lie between -2 and +2 ( i.e., all but a few residuals are within 2 standard deviations of their expected value 0 ).
C) If we plot the fitted or predicted values on the vertical axis versus the actual values $\hat { y } _ {i}$
On the horizontal axis, and the plot yields points close to the $60 ^ { \circ }$
Line, then the estimated regression function gives accurate predictions of the values actually observed.
D) All of the above statements are true.
E) None of the above statements are true.

Question

Quizplus · Accepted Answer

Statement C is not true because it inaccurately describes the plot for assessing the accuracy of a regression model's predictions. The correct way to assess model accuracy is to plot the actual values on the vertical axis against the predicted values on the horizontal axis, and ideally, these points should lie close to the 45-degree line, not the 60-degree line as mentioned. This indicates that the predicted values are close to the actual values.

Which of the Following Statements Are Not True? A) Provided y^i\hat { y } _ {i}y^​i​

Which of the Following Statements Are Not True?
A) Provided $\hat { y } _ {i}$