A linear regression model for the propylene glycol data in Table 11 is P = –0.54T + 34 where P is the percentage of propylene glycol in the deicing solution and T is the temperature at which the solution freezes.

(A) Draw a scatter plot of the data and a graph of the model on the same axes.

(B) Use the model to estimate the freezing temperature to the nearest degree of a solution that is 30% propylene glycol.

(C) Use the model to estimate the percentage of propylene glycol in a solution that freezes at 15°F.

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Table 11 Freezing Temperatures Freezing Temperature (°F) -50 -40 -30 -20 -10 0 10 20 Ethylene Glycol (% Wt.) 56 53 49 45 40 33 25 16 Propylene Glycol (% Wt.) 58 55 52 48 43 36 29 19