# x16.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 per capita # income, 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; # A0, 1; # A1, the petrol tax; # A2, the per capita income; # A3, the number of miles of paved highway; # A4, the proportion of drivers; # B, the consumption of petrol. # # We seek a model of the form # # B = A0 * X0 + A1 * X1 + A2 * X2 + A3 * X3 + A4 * X4. # 7 columns 48 rows Index One 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 1 9.00 3571 1976 0.5250 541 2 1 9.00 4092 1250 0.5720 524 3 1 9.00 3865 1586 0.5800 561 4 1 7.50 4870 2351 0.5290 414 5 1 8.00 4399 431 0.5440 410 6 1 10.00 5342 1333 0.5710 457 7 1 8.00 5319 11868 0.4510 344 8 1 8.00 5126 2138 0.5530 467 9 1 8.00 4447 8577 0.5290 464 10 1 7.00 4512 8507 0.5520 498 11 1 8.00 4391 5939 0.5300 580 12 1 7.50 5126 14186 0.5250 471 13 1 7.00 4817 6930 0.5740 525 14 1 7.00 4207 6580 0.5450 508 15 1 7.00 4332 8159 0.6080 566 16 1 7.00 4318 10340 0.5860 635 17 1 7.00 4206 8508 0.5720 603 18 1 7.00 3718 4725 0.5400 714 19 1 7.00 4716 5915 0.7240 865 20 1 8.50 4341 6010 0.6770 640 21 1 7.00 4593 7834 0.6630 649 22 1 8.00 4983 602 0.6020 540 23 1 9.00 4897 2449 0.5110 464 24 1 9.00 4258 4686 0.5170 547 25 1 8.50 4574 2619 0.5510 460 26 1 9.00 3721 4746 0.5440 566 27 1 8.00 3448 5399 0.5480 577 28 1 7.50 3846 9061 0.5790 631 29 1 8.00 4188 5975 0.5630 574 30 1 9.00 3601 4650 0.4930 534 31 1 7.00 3640 6905 0.5180 571 32 1 7.00 3333 6594 0.5130 554 33 1 8.00 3063 6524 0.5780 577 34 1 7.50 3357 4121 0.5470 628 35 1 8.00 3528 3495 0.4870 487 36 1 6.58 3802 7834 0.6290 644 37 1 5.00 4045 17782 0.5660 640 38 1 7.00 3897 6385 0.5860 704 39 1 8.50 3635 3274 0.6630 648 40 1 7.00 4345 3905 0.6720 968 41 1 7.00 4449 4639 0.6260 587 42 1 7.00 3656 3985 0.5630 699 43 1 7.00 4300 3635 0.6030 632 44 1 7.00 3745 2611 0.5080 591 45 1 6.00 5215 2302 0.6720 782 46 1 9.00 4476 3942 0.5710 510 47 1 7.00 4296 4083 0.6230 610 48 1 7.00 5002 9794 0.5930 524