A simple linear regression is fitted for the three datasets (Dataset 1, Dataset 2 and Dataset 3) separately. All three datasets yield the same tted equation y^=3+0.5x, as shown in the three scatterplots below. All three models have the same R² = 0.667. All the three datasets contain 11 observations.

Consider the following statements regarding the fitted equation by Dataset 1.

1. The constant variance assumption seems valid.
2. The residual plot shows no pattern.
3. x is a highly significant predictor of y.

A. Which of the above statements is/are TRUE?

Group of answer choices

(i) I only

(ii) III only

(iii) I and II only

(iv) I and III only

(v) All of the above

B. Consider the following statements regarding the fitted equation by Dataset 2.

1. The linearity assumption between x and y does not seem to hold.
2. The residual plot shows no pattern.
3. One should not use the fitted equation to predict y.

Which of the above statements is/are FALSE?

Group of answer choices

(i) II only

(ii) III only

(iii) I and II only

(iv) II and III only

(v) All of the above

C.

Consider the following statements regarding the fitted equation by Dataset 3.

1. There is an extremely large residual shown in the residual plot.
2. The residual plot shows no pattern.
3. One should not use the fitted equation to predict y.

Which of the above statements is/are TRUE?

Group of answer choices

(i) I only

(ii) III only

(iii) I and II only

(iv) I and III only

(v) II and III only