The following diagnostic plots contain data about a class\'s final exam., which

Question

The following diagnostic plots contain data about a class's final exam., which condition(s) or assumption(s) appear(s) to be violated in multiple regression analysis? Residuals vs. the Fitted Values (Response is Final) 20 Residual (points) 50 6o 000 110 120 130 140 60 Fitted Value Normal Probability Plot of the Residuals (Response is Final) Normal Score 2 1 10 20 Residuals (points) Histogram of the Residuals Response is Final) 3 Frequency 2 -20-15-10 -5 O5 10 15 20 Residuals (points) A) Equal Variance Assumption. B) Linearity Assumption. C) Independence Assumption. D) Nearly Normal Condition. E) Randomization Condition.

Explanation / Answer

From the histogram, it is quite clear thatthe residuals do not follow normal distribution since the plot doesn't look like bell-shaped hence assumption (D) is violated.
From the residual plot, the non-random pattern indicates that the linearity assumption is violated. Hence, option (B) is violated.

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