An airline designs a study to evaluate fuel usage by a certain type of aircraft. From a random sample of 50 flights, the flight length in hundreds of miles and the fuel usage in gallons are recorded.

a. Plot fuel usage versus and mileage. Does the plot display a linear relationship between fuel usage and length of flight?
b. Obtain a regression equation relating fuel usage to length of the flight.
c. What is the interpretation of β1 in this situation?
d. Is there a sensible interpretation of β0 in this situation?
e. Compute the correlation coefficient, ryx, and the coefficient of determination. Interpret these values.

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Mileage 530 533 536 569 580 603 5 667 707 712 FuelUse 32257 376 290 416 32 36 347 498 449 Mileage 5784 814 839 844 885890 913 957976 FuelUse 4452 426 44 524 48 551 570 55 522 Mileage 979 1,050 1,055 1069 1070 1114 1116 1129 1308 1348 FuelUse 542640 598 502 639 679 659 695 767 Mileage 1,356 1,363 1395 1474 1,504 1528 13 1,615 1,632 1,657 FuelUse 632 641 740 37 783 802 874847 748 Mileage 1,674 1698 1,730 1,769 ,775 1,789 1804 1820 1,851 1983 FuelUse 872802 925 912 936 846 83 902 925 908 1 2