Joan is concerned about the amount of energy she uses to heat her home. The scatterplot shows the relationship between x = mean temperature in a particular month and y = mean amount of natural gas used per day (in cubic feet) in that month, along with the regression line ŷ =1425−19.87x .

a. Predict the mean amount of natural gas Joan will use per day in a month with a mean temperature of 30°F.

b. Predict the mean amount of natural gas Joan will use per day in a month with a mean temperature of 65°F.

c. How confident are you in each of these predictions? Explain your reasoning.

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900 800 700 600 500 400 300 200 30 35 40 45 50 55 60 Temperature (°F) Gas consumed (cubic ft)