In a Particular Area of the United States,the Electric Utility

Multiple Choice

In a particular area of the United States,the electric utility company has determined that the average monthly electric bill (in dollars) for homeowners varies with the average monthly temperature (degrees Fahrenheit) as shown in the table below. $$\begin{array} { | l | l | } \hline \begin{array} { l } \text { Average monthly temp. } \\{}^\circ\text {F }\end{array} & \begin{array} { l } \text { Average monthly electric bill } \\\$\end{array} \\\hline 40 & 78 \\\hline 60 & 61 \\\hline 80 & 108 \\\hline\end{array}$$ Find a least squares regression parabola that models the data and use that to estimate the average monthly electric bill in a month with average temperature of 57 ^oF.

A) y = 0.07(57) ² - 7.85(57) + 304 = $84
B) y = 0.06(57) ² - 6.85(57) + 304 = $108
C) y = 0.07(57) ² - 5.85(57) + 304 = $198
D) y = 0.08(57) ² - 8.85(57) + 304 = $59
E) y = 0.08(57) ² - 4.85(57) + 304 = $287