Using the data below, determine if a heavier car uses more gasoline. If it does, determine the equation for the best fit line. If appropriate, predict the miles per gallon of a car that weighs 37 hundred pounds.
Weight (in hundred pounds) |
27 | 44 | 32 | 47 | 23 | 40 | 34 | 52 |
Miles per Gallon (mpg) |
30 | 19 | 24 | 13 | 29 | 17 | 21 | 14 |
x(weight) | y(Miles per gallon) | xy | x2 | y2 |
27 | 30 | 810 | 729 | 900 |
44 | 19 | 836 | 1936 | 361 |
32 | 24 | 768 | 1024 | 576 |
47 | 13 | 611 | 2209 | 169 |
23 | 29 | 667 | 529 | 841 |
40 | 17 | 680 | 1600 | 289 |
34 | 21 | 714 | 1156 | 441 |
52 | 14 | 728 | 2704 | 196 |
∑Xi=299 | ∑Yi=167 | ∑xiyi=5814 | ∑xi^2=11887 | ∑Yi^2=3773 |
For car weight 37 hundred pounds.
miles per gallon of a car is 21.1
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