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Answer: Display randomness without any discernible pattern.
In a well-specified linear regression model, the residuals should appear random when plotted against the independent variable. This randomness indicates that the model captures the underlying linear relationship without systematic errors. If the residuals exhibit a pattern (e.g., linear or systematic), it suggests potential violations of the model's assumptions, such as omitted variables or incorrect functional form. The correct answer is **B** because randomness in residuals is a key diagnostic for validating the model's assumptions.
Author: LeetQuiz Editorial Team
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In a simple linear regression model, if the relationship between the dependent and independent variables is linear, the residuals plotted against the independent variable should:
A
Exhibit a linear pattern.
B
Display randomness without any discernible pattern.
C
Follow a systematic pattern.
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