A researcher is going to conduct a regression and created the following scatter

Question

A researcher is going to conduct a regression and created the following scatter plot that relates the variable y to the variable x. Is it a good idea to make inference using regression in this situation? Chose the answer that is more appropriate. a. there is a linear trend so using regression is appropriate. Linearity assumption is satisfied. b. The relationship seems to be more curvilinear rather than linear. Regression is not appropriate in this situation because the linearity condition fails and the independent random errors condition also fails. c. there is a linear trend but regression is not appropriate. Linearity assumption fails. d. the relationship seems to be curvilinear. Regression is still appropriate because the line seems reasonable. Linearity assumption is satisfied.

Explanation / Answer

Clearly if we join the points which is the middle point for all x, we would notice that we wont get a straight linear line but a curvilinear line, therefore regression would not be appropriate here in this situation because the linearity condition fails and independent random errors condition also fails.

Therefore b) is the correct answer here.

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