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Question the-st

3.4 Two-Variable Data & Models - Line of best fit
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The sterplot below shows the amount of electric energy generated, in millions of megawatt-hours, by nuclear sources over a 10‑year period.

The figure presents a sterplot in the xy-plane titled “Electric Energy Generated by Nuclear Sources.” The x-axis is labeled “Time,” in years, and the numbers zero through 12, in increments of 2, are indied. The y-axis is labeled “Energy,” in million megawatt-hours, and the numbers 700 through 820, in increments of 20, are indied. There are 10 data points stered in the form of a curve. The first data point begins approximately at the point with coordinates 1 comma 764. The points follow a path varying upward and downward and to the right, until reaching the point with coordinates of approximately 8 comma 806. The points then move downward and to the right, ending at the point with coordinates of approximately 10 comma 768. The data represented by the points are as follows. Note that all values are approximate. Point 1: 1 year, 764 million mega-watt hours. Point 2: 2 years, 788 million mega-watt hours. Point 3: 3 years, 781 million mega-watt hours. Point 4: 4 years, 785 million mega-watt hours. Point 5: 5 years, 804 million mega-watt hours. Point 6: 6 years, 803 million mega-watt hours. Point 7: 7 years, 796 million mega-watt hours. Point 8: 8 years, 806 million mega-watt hours. Point 9: 9 years, 790 million mega-watt hours. Point 10: 10 years, 768 million mega-watt hours.

 

Of the following equations, which best models the data in the sterplot?

A.

y equals 1 point six seven four x squared, plus 19 point seven six x, minus 745 point seven three

B.

y equals negative 1 point six seven four x squared, minus 19 point seven six x, minus 745 point seven three

C.

y equals 1 point six seven four x squared, plus 19 point seven six x, plus 745 point seven three

D.

y equals negative 1 point six seven four x squared, plus 19 point seven six x, plus 745 point seven three