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 curved pattern in the residuals plot indicates that the linear model is not appropriate. the relationship is not linear. b. the residual plot indicates that most of the data fall roughly along a straight line, with the exception of a sample point. c. the residual plot indicates an appropriate linear model

Explanation:

Step1: Analyze Residual Plot (a)

Residual plots help assess linear model appropriateness. A curved pattern (non - random, systematic) in residuals means the linear model isn't appropriate (violates linearity assumption). A scattered plot with a single outlier or random scatter has different interpretations.

Step2: Evaluate Options

• Option A: Describes a curved pattern (non - linear relationship), so linear model is inappropriate.
• Option B: Mentions most data on a line with one outlier, but residual plot (a) doesn't show this.
• Option C: Says residuals plot indicates appropriate linear model, but a curved pattern (if present) would mean otherwise.

Answer:

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