Question

tell what each of (a) the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data.
(a) choose the best answer for residuals plot (a).
a. the fanned pattern indicates that the linear model is not appropriate. the models predicting power increases as the values of the explanatory variable increases.
b. the curved pattern in the residuals plot indicates that the linear model is not appropriate. the relationship is not linear.
c. the scattered residuals plot indicates an appropriate linear model.

Explanation:

Step1: Analyze Residual Plot (a)

Residual plot (a) shows a curved pattern (not random scatter). A linear model assumes a linear relationship, so a curved residual pattern implies the relationship isn't linear, making the linear model inappropriate.

Step2: Evaluate Options

• Option A: Talks about fanned pattern (not curved), so incorrect.
• Option B: Matches the curved pattern indicating non - linear relationship, so linear model is inappropriate.
• Option C: Residuals aren't scattered randomly, so incorrect.

Answer:

B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear.