Question

Which of the following features of a residual plot would lead you to conclude that a linear regression model may not be appropriate?

1) The residuals are randomly scattered around zero.
2) The residuals show a clear pattern or trend.
3) The residuals have a constant variance.
4) The residuals follow a normal distribution.

Answer 1

In a residual plot, a clear pattern or trend in the residuals and the lack of constant variance would indicate that a linear regression model may not be appropriate.

Step-by-step explanation:

In a residual plot, the following features would lead you to conclude that a linear regression model may not be appropriate:

1. The residuals show a clear pattern or trend. If the residuals exhibit a systematic pattern or trend, it suggests that the relationship between the predictor variable and the response variable is not linear.
2. The residuals do not have a constant variance. If the spread of the residuals varies across the range of the predictor variable, it violates the assumption of equal variance and indicates that a linear regression model may not be appropriate.

Therefore, features 2) and 3) would lead you to conclude that a linear regression model may not be appropriate.