A carpenter sells handmade wooden benches at a craft fair every week. Over the past year, the carpenter has varied the price of the benches from $80 to $120 and recorded the average weekly profit he made at each selling price. The prices of the bench and the corresponding average profits are shown in the table.

a. Make a scatterplot to show the relationship between price and profit.

b. The correlation for these data is r = 0. Explain how this can be true even though there is a strong relationship between price and average profit.

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Price $80 $90 $100 $110 $120 Average profit $2400 $2800 $3000 $2800 $2400