# x15.txt # # Reference: # # Helmut Spaeth, # Mathematical Algorithms for Linear Regression, # Academic Press, 1991, # ISBN 0-12-656460-4. # # S Weisberg, # Applied Linear Regression, # New York, 1980, pages 32-33. # # Discussion: # # For one year, the consumption of petrol was measured in 48 states. # The relevant variables are the petrol tax, the average # income per capita, the number of miles of paved highway, and # the proportion of the population with driver's licenses. # # There are 48 rows of data. The data include: # # I, the index; # A1, the petrol tax; # A2, the per capita income; # A3, the miles of paved highway; # A4, the proportion of drivers; # B, the consumption of petrol. # # We seek a model of the form: # # B = A1 * X1 + A2 * X2 + A3 * X3 + A4 * X4. # 6 columns 48 rows Index Petrol tax (cents per gallon) Average income (dollars) Paved Highways (miles) Proportion of population with driver's licenses Consumption of petrol (millions of gallons) 1 9.00 3571 1976 0.5250 541 2 9.00 4092 1250 0.5720 524 3 9.00 3865 1586 0.5800 561 4 7.50 4870 2351 0.5290 414 5 8.00 4399 431 0.5440 410 6 10.00 5342 1333 0.5710 457 7 8.00 5319 11868 0.4510 344 8 8.00 5126 2138 0.5530 467 9 8.00 4447 8577 0.5290 464 10 7.00 4512 8507 0.5520 498 11 8.00 4391 5939 0.5300 580 12 7.50 5126 14186 0.5250 471 13 7.00 4817 6930 0.5740 525 14 7.00 4207 6580 0.5450 508 15 7.00 4332 8159 0.6080 566 16 7.00 4318 10340 0.5860 635 17 7.00 4206 8508 0.5720 603 18 7.00 3718 4725 0.5400 714 19 7.00 4716 5915 0.7240 865 20 8.50 4341 6010 0.6770 640 21 7.00 4593 7834 0.6630 649 22 8.00 4983 602 0.6020 540 23 9.00 4897 2449 0.5110 464 24 9.00 4258 4686 0.5170 547 25 8.50 4574 2619 0.5510 460 26 9.00 3721 4746 0.5440 566 27 8.00 3448 5399 0.5480 577 28 7.50 3846 9061 0.5790 631 29 8.00 4188 5975 0.5630 574 30 9.00 3601 4650 0.4930 534 31 7.00 3640 6905 0.5180 571 32 7.00 3333 6594 0.5130 554 33 8.00 3063 6524 0.5780 577 34 7.50 3357 4121 0.5470 628 35 8.00 3528 3495 0.4870 487 36 6.58 3802 7834 0.6290 644 37 5.00 4045 17782 0.5660 640 38 7.00 3897 6385 0.5860 704 39 8.50 3635 3274 0.6630 648 40 7.00 4345 3905 0.6720 968 41 7.00 4449 4639 0.6260 587 42 7.00 3656 3985 0.5630 699 43 7.00 4300 3635 0.6030 632 44 7.00 3745 2611 0.5080 591 45 6.00 5215 2302 0.6720 782 46 9.00 4476 3942 0.5710 510 47 7.00 4296 4083 0.6230 610 48 7.00 5002 9794 0.5930 524