Use a graphing calculator to plot the data and find the quadratic function of best fit.
-The number of housing starts in one beachside community remained fairly level until 1992 and then began to increase. The following data shows the number of housing starts since 1992 (x = 1) . Use a graphing calculator to
Plot a scatter diagram. What is the quadratic function of best fit? $\begin{array} { l | l } \text { Year, x } & \text { Housing Starts, H } \\\hline 1 & 200 \\2 & 210 \\3 & 230 \\4 & 240 \\5 & 250 \\6 & 230 \\7 & 215 \\8 & 208\end{array}$

Question

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-The number of housing starts in one beachside community remained fairly level until 1992 and then began to increase. The following data shows the number of housing starts since 1992 (x = 1) . Use a graphing calculator to
Plot a scatter diagram. What is the quadratic function of best fit?

\begin{array} { l | l } \text { Year, x } & \text { Housing Starts, H } \\\hline 1 & 200 \\2 & 210 \\3 & 230 \\4 & 240 \\5 & 250 \\6 & 230 \\7 & 215 \\8 & 208\end{array}

Quizplus · Accepted Answer

The correct quadratic function of best fit for the given data, when plotted and analyzed using a graphing calculator, is $H(x) = -3.268x^2 + 30.494x + 168.982$. This function accurately models the trend of housing starts increasing and then decreasing, as indicated by the negative coefficient for the $x^2$ term, which suggests a parabolic shape opening downwards.

Use a Graphing Calculator to Plot the Data and Find