Question

How would you do this type of problem? 1. Type in the regression equation relating the average high temp to the average monthly electric bill in Richmond, VA2. Is this equation a good description of the data set? 3. Would this equation be a decent method for predicting your own electric bill if you were to move to Richmond?

Answer 1

Solution:

The equation relating the average high temp to the average monthly electric bill in Richmond, VA is;

$y=0.15351x^2-21.1825x+864.109$

(2) The equation is a good description of the data set because when the r value is closer to +1 or -1, it indicates that there is a stronger linear relationship between the two variables. The r value is 0.9341.

(3)

$\begin{gathered} At\text{ x=71;} \\ 0.15351(71)^2-21.1825(71)+864.109=134.00 \end{gathered}$

Hence, the equation is a decent method for predicting your own electric bill if you were to move to Richmond.