Answer-first summary for fast verification
Answer: The relationship between the independent and dependent variables is non-linear.
Option C is correct because a non-linear relationship between the independent and dependent variables can often be linearized through transformation, enabling the use of simple linear regression. Options A and B are incorrect: for A, normality is required for residuals, not the variables themselves; for B, uncorrelated pairs of observations are an assumption of simple linear regression, so no transformation is needed.
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Which of the following scenarios necessitates a data transformation to apply a simple linear regression model?
A
The dependent variable exhibits a non-normal distribution.
B
The pairs of dependent and independent variables lack correlation with each other.
C
The relationship between the independent and dependent variables is non-linear.
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