Table Given Below Shows the Consumer Price Index (CPI) for Selected

question 98

Multiple Choice

Table given below shows the Consumer Price Index (CPI) for selected years. Use the regression capabilities of a graphing utility to find a mathematical model of the form $y = a t ^ { 2 } + b t + c$ for the data. In the model, $y$ represents the CPI and $t$ represents the year, with $t = 5$ corresponding to 1975 . Round all numerical values in your answer to three decimal places.
$\begin{array}{|c|c|c|c|c|c|c|c|}\hline \text { ear } & 975 & 980 & 985 & 990 & 995 & 000 & 005 \\\hline \text { PI } & 7.8 & 0.6 & 03.6 & 30.7 & 52.4 & 70.5 & 92.5 \\\hline\end{array}$

• A) \(y = - 0.019 t ^ { 2 } + 5.268 t + 30.871\)
• B) \(y = - 0.019 t ^ { 2 } - 5.957 t + 30.871\)
• C) \(y = - 0.016 t ^ { 2 } - 5.957 t - 30.871\)
• D) \(y = - 0.019 t ^ { 2 } + 5.957 t + 40.871\)
• E) \(y = - 0.016 t ^ { 2 } + 5.268 t + 40.871\)

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