Question: If adding a squared term of the rainfall variable in a regression model between rainfall and umbrella sales results in a negative and significant coefficient

If adding a squared term of the rainfall variable in a regression model between rainfall and umbrella sales results in a negative and significant coefficient for the squared term, we may infer that:

(select a or b)

a) there exists no relationship between rainfall and umbrella sales

b) after rainfall exceeds a certain level, umbrella sales decrease as rainfall increases.

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