Use a Graphing Calculator to Plot the Data and Find

question 260

Multiple Choice

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? $\begin{array}{l|c}\text { Speed, s } & \text { mph, M } \\\hline 20 & 18 \\30 & 20 \\40 & 23 \\50 & 25 \\60 & 28 \\70 & 24 \\80 & 22\end{array}$

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

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Definitions:

Data-Gathering Process

The systematic procedure of collecting, measuring, and analyzing accurate data for research or assessment purposes.

Conclusions Drawn

Inferences or judgments made after considering all the available evidence and arguments.

Conceptualizing Balance

The process of creating a harmonious or balanced framework for understanding or analyzing a concept or phenomenon.

Stable Constructs

Psychological attributes or traits that are consistent and enduring over time, showing little variation across situations or in response to interventions.