Use a graphing calculator to plot the data and find the quadratic function of best fit.
-A small manufacturing firm collected the following data on advertising expenditures (in thousands of dollars) and total revenue (in thousands of dollars). $$\begin{array} { c | c }
\text { Advertising, } x & \text { Total Revenue, R } \
\hline 25 & 6430 \
28 & 6432 \
31 & 6434 \
32 & 6434 \
34 & 6434 \
39 & 6431 \
40 & 6432 \
45 & 6420
\end{array}$$ Find the quadratic function of best fit.
A) $R ( x ) = - 0.015 x ^ { 2 } + 4.53 x + 6123$
B) $R ( x ) = - 0.091 x ^ { 2 } + 5.95 x + 6337$
C) $R ( x ) = - 0.024 x ^ { 2 } + 7.13 x + 6209$
D) $R ( x ) = - 0.31 x ^ { 2 } + 2.63 x + 6128$

Question

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-A small manufacturing firm collected the following data on advertising expenditures (in thousands of dollars) and total revenue (in thousands of dollars). $$\begin{array} { c | c } 
\text { Advertising, } x & \text { Total Revenue, R } \
\hline 25 & 6430 \
28 & 6432 \
31 & 6434 \
32 & 6434 \
34 & 6434 \
39 & 6431 \
40 & 6432 \
45 & 6420
\end{array}$$ Find the quadratic function of best fit. 
A) $R ( x ) = - 0.015 x ^ { 2 } + 4.53 x + 6123$
B) $R ( x ) = - 0.091 x ^ { 2 } + 5.95 x + 6337$
C) $R ( x ) = - 0.024 x ^ { 2 } + 7.13 x + 6209$
D) $R ( x ) = - 0.31 x ^ { 2 } + 2.63 x + 6128$

Quizplus · Accepted Answer

The quadratic function of best fit is found by using a graphing calculator to perform a quadratic regression on the given data points. The result of this regression is the function $R ( x ) = - 0.091 x ^ { 2 } + 5.95 x + 6337$.

Use a Graphing Calculator to Plot the Data and Find