Based on the residual plot from a simple linear regression analysis below, which

Question

Based on the residual plot from a simple linear regression analysis below, which of the statements following the plot is true? A scatterplot has a horizontal axis labeled x and a vertical axis labeled residuals. A horizontal line segment starts at the vertical axis at a vertical coordinate of 0 and passes through a series of plotted points. The points are spread across the line in such a way that the scattering of the points about the line is very minimal at the left end of the horizontal line, and increases as the value of x increases. Choose the correct answer below. A. The condition that the residuals have constant variation is not met since the lines connecting the largest positive residuals and largest negative residuals are not parallel. B. The condition that the residuals have constant variation is met since the lines connecting the largest positive residuals and largest negative residuals are parallel. C. The condition that the residuals are normally distributed is not met since not all of the residuals fall on the reference line in the residual plot. D. The condition that the residuals are normally distributed is not met since there is a funnel shape to the residuals in the residual plot.

Explanation / Answer

The description of the scatter plot shows that residual does not show random pattern so we cannot conclude that residuals are normally ditributed. So following option is correct:

D. The condition that the residuals are normally distributed is not met since there is a funnel shape to the residuals in the residual plot.

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