Questions: Graphs and Functions Computing residuals a table and scatter plot show the average monthly temperature, x, and a family's monthly heating cost, y, for 11 different months. The equation of the line of best fit is y=-1.2x+91.54. Average monthly temperature, x (in °F) Monthly heating cost, y (in dollars) ------------------------------------------------------------------------------ 23.0 51.00 30.7 68.00 35.7 67.00 37.6 40.64 40.3 29.77 43.4 52.01 48.1 49.73 50.1 30.14 53.0 15.43 54.3 22.78 57.0 30.50 Use the equation of the line of best fit to fill in the blanks below. Give exact answers, not rounded approximations. Average monthly temperature (in °F) Observed monthly heating cost (in dollars) Predicted monthly heating cost (in dollars) Residual (in dollars) ---------------------------------------------------------------------------------------------------------------------------------------------------- 23.0 35.7

Transcript text: Graphs and Functions Computing residuals a table and scatter plot show the average monthly temperature, $x$, and a family's monthly heating cost, $y$, for 11 different months. The equation of the line of best fit is $y=-1.2 x+91.54$. \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Average \\ monthly \\ temperature, $\boldsymbol{x}$ \\ (in ${ }^{\circ} \mathrm{F}$ ) \end{tabular} & \begin{tabular}{c} Monthly \\ heating cost, $\boldsymbol{y}$ \\ (in dollars) \end{tabular} \\ \hline 23.0 & 51.00 \\ \hline 30.7 & 68.00 \\ \hline 35.7 & 67.00 \\ \hline 37.6 & 40.64 \\ \hline 40.3 & 29.77 \\ \hline 43.4 & 52.01 \\ \hline 48.1 & 49.73 \\ \hline 50.1 & 30.14 \\ \hline 53.0 & 15.43 \\ \hline 54.3 & 22.78 \\ \hline 57.0 & 30.50 \\ \hline \end{tabular} Use the equation of the line of best fit to fill in the blanks below. Give exact answers, not rounded approximations. \begin{tabular}{|c|c|c|c|} \hline \begin{tabular}{c} Average monthly \\ temperature \\ (in ${ }^{\circ} \mathrm{F}$ ) \end{tabular} & \begin{tabular}{c} Observed monthly \\ heating cost \\ (in dollars) \end{tabular} & \begin{tabular}{c} Predicted monthly \\ heating cost \\ (in dollars) \end{tabular} & \begin{tabular}{c} Residual \\ (in dollars) \end{tabular} \\ \hline 23.0 & $\square$ & $\square$ & $\square$ \\ \hline 35.7 & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular}