Natural-gas consumption. The data in Table 1 give the U.S. consumption of natural gas in trillions of cubic feet.
Table 1
Year | Natural-Gas Consumption |
1960 | 12.0 |
1970 | 21.1 |
1980 | 19.9 |
1990 | 18.7 |
2000 | 21.9 |
2010 | 24.1 |
(A) Let x represent time (in years), with x = 0 corresponding to 1960, and let y represent the corresponding U.S. consumption of natural gas. Enter the data set in a graphing calculator and find a cubic regression equation for the data.
(B) If y = N(x) denotes the regression equation found in part (A), find N(60) and N′(60), and write a brief verbal interpretation of these results.
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