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Use a Graphing Calculator to Plot the Data and Find

Question 260

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Use a graphing calculator to plot the data and find the quadratic function of best fit.
-An engineer collects data showing the speed s of a given car model and its average miles per gallon M. Use a graphing calculator to plot the scatter diagram. What is the quadratic function of best fit?  Speed, s  mph, M 2018302040235025602870248022\begin{array}{l|c}\text { Speed, s } & \text { mph, M } \\\hline 20 & 18 \\30 & 20 \\40 & 23 \\50 & 25 \\60 & 28 \\70 & 24 \\80 & 22\end{array}


A) M(s) =0.063x2+0.720x+5.142\mathrm { M } ( \mathrm { s } ) = 0.063 \mathrm { x } ^ { 2 } + 0.720 \mathrm { x } + 5.142
B) M(s) =6.309x2+0.720x+5.142\mathrm { M } ( \mathrm { s } ) = - 6.309 \mathrm { x } ^ { 2 } + 0.720 \mathrm { x } + 5.142
C) M(s) =0.0063x2+0.720x+5.142M ( s ) = - 0.0063 x ^ { 2 } + 0.720 x + 5.142
D) M(s) =0.631x2+0.720x+5.142M ( s ) = - 0.631 x ^ { 2 } + 0.720 x + 5.142

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