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Answer: When a variable increases at a decreasing rate
A non-linear trend occurs when the rate of change is not constant. Option B describes a variable increasing at a decreasing rate, which means the rate of increase is changing over time, making it non-linear. **Explanation:** - **Option A (Incorrect):** Constant rate of increase represents a linear trend. - **Option B (Correct):** Decreasing rate of increase means the slope is changing, indicating a non-linear relationship. - **Option C (Incorrect):** Discrete intervals don't necessarily imply non-linearity; a variable can increase at discrete intervals but still follow a linear pattern. - **Option D (Incorrect):** A negative regression slope still represents a linear relationship, just with a negative constant rate of change. Non-linear trends are characterized by changing rates of change, which can be visualized as curved patterns rather than straight lines in graphical representations.
Author: Nikitesh Somanthe
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In which of the following scenarios would we expect to have a non-linear trend?
A
When a variable increases at a constant rate
B
When a variable increases at a decreasing rate
C
When the explanatory variable increases only at discrete intervals
D
When a linear trend has a negative regression slope
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