V8 Car Engine Is Coupled to a Dynamometer and the Horsepower

question 104

Multiple Choice

V8 car engine is coupled to a dynamometer and the horsepower y is measured at different engine speeds $x$ (in thousands of revolutions per minute) . The results are shown in the table below. Use the regression capabilities of a graphing utility to find a cubic model for the data. Round the numerical values in your answer to three decimal places, where applicable.
$\begin{array}{|c|c|c|c|c|c|c|}\hline x & 1 & 2 & 3 & 4 & 5 & 6 \\\hline y & 64 & 109 & 164 & 224 & 249 & 269 \\\hline\end{array}$

• A) \(y = - 1.608 x ^ { 3 } - 14.583 x ^ { 2 } + 13.389 x - 37\)
• B) \(y = - 1.706 x ^ { 3 } - 14.583 x ^ { 2 } - 16.389 x + 34\)
• C) \(y = 1.806 x ^ { 3 } + 11.583 x ^ { 2 } + 16.389 x - 41\)
• D) \(y = - 1.806 x ^ { 3 } + 14.583 x ^ { 2 } + 16.389 x + 34\)
• E) \(y = 1.608 x ^ { 3 } + 11.583 x ^ { 2 } - 19.389 x + 41\)

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