Chapter 1, Problem 40RE

Freezing temperature. Methanol, also known as wood alcohol, can be used as a fuel for suitably equipped vehicles. Table 1 lists the freezing temperature for various concentrations (as a percentage of total weight) of methanol in water. A linear regression model for the data in Table 1 is

$T=40-2M$

where $M$ is the percentage of methanol in the 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 $35\%$ methanol.

(C) Use the model to estimate the percentage of methanol in a solution that freezes at $\text{-50°F}\text{.}$