# x28.txt # # Discussion: # # The death rate is to be represented as a function of other variables. # # There are 60 rows of data. The data includes: # # I, the index; # A1, the average annual precipitation; # A2, the average January temperature; # A3, the average July temperature; # A4, the size of the population older than 65; # A5, the number of members per household; # A6, the number of years of schooling for persons over 22; # A7, the number of households with fully equipped kitchens; # A8, the population per square mile; # A9, the size of the nonwhite population; # A10, the number of office workers; # A11, the number of families with an income less than \$3000; # A12, the hydrocarbon pollution index; # A13, the nitric oxide pollution index; # A14, the sulfur dioxide pollution index; # A15, the degree of atmospheric moisture. # B, the death rate. # # We seek a model of the form: # # B = A1 * X1 + A2 * X2 + A3 * X3 + A4 * X4 + A5 * X5 # + A6 * X6 + A7 * X7 + A8 * X8 + A9 * X9 + A10 * X10 # + A11 * X11 + A12 * X12 + A13 * X13 + A14 * X14 + A15 * X15 # # Modified: # # 08 November 2010 # # Reference: # # Richard Gunst, Robert Mason, # Regression Analysis and Its Applications: a data-oriented approach, # Dekker, 1980, pages 370-371. # ISBN: 0824769937. # # Gary McDonald, Richard Schwing, # Instabilities of regression estimates relating air pollution to mortality, # Technometrics, # Volume 15, Number 3, pages 463-482, 1973. # # Helmut Spaeth, # Mathematical Algorithms for Linear Regression, # Academic Press, 1991, # ISBN 0-12-656460-4. # 17 columns 60 rows Index A1 average annual precipitation in inches A2 average January temperature in degrees Fahrenheit A3 average July temperature in degrees Fahrenheit A4 percent of 1960 SMSA population 65 years old or older A5 household size, 1960 A6 schooling for persons over 22 A7 household with full kitchens A8 population per square mile in urbanized areas A9 percent nonwhite population A10 percent office workers A11 poor families (annual income under \$3000) A12 relative pollution potential of hydrocarbons A13 relative pollution potential of oxides of Nitrogen A14 relative pollution of Sulfur Dioxide A15 percent relative humidity, annual average at 1pm. B death rate 1 36 27 71 8.1 3.34 11.4 81.5 3243 8.8 42.6 11.7 21 15 59 59 921.870 2 35 23 72 11.1 3.14 11.0 78.8 4281 3.6 50.7 14.4 8 10 39 57 997.875 3 44 29 74 10.4 3.21 9.8 81.6 4260 0.8 39.4 12.4 6 6 33 54 962.354 4 47 45 79 6.5 3.41 11.1 77.5 3125 27.1 50.2 20.6 18 8 24 56 982.291 5 43 35 77 7.6 3.44 9.6 84.6 6441 24.4 43.7 14.3 43 38 206 55 1071.289 6 53 45 80 7.7 3.45 10.2 66.8 3325 38.5 43.1 25.5 30 32 72 54 1030.380 7 43 30 74 10.9 3.23 12.1 83.9 4679 3.5 49.2 11.3 21 32 62 56 934.700 8 45 30 73 9.3 3.29 10.6 86.0 2140 5.3 40.4 10.5 6 4 4 56 899.529 9 36 24 70 9.0 3.31 10.5 83.2 6582 8.1 42.5 12.6 18 12 37 61 1001.902 10 36 27 72 9.5 3.36 10.7 79.3 4213 6.7 41.0 13.2 12 7 20 59 912.347 11 52 42 79 7.7 3.39 9.6 69.2 2302 22.2 41.3 24.2 18 8 27 56 1017.613 12 33 26 76 8.6 3.20 10.9 83.4 6122 16.3 44.9 10.7 88 63 278 58 1024.885 13 40 34 77 9.2 3.21 10.2 77.0 4101 13.0 45.7 15.1 26 26 146 57 970.467 14 35 28 71 8.8 3.29 11.1 86.3 3042 14.7 44.6 11.4 31 21 64 60 985.950 15 37 31 75 8.0 3.26 11.9 78.4 4259 13.1 49.6 13.9 23 9 15 58 958.839 16 35 46 85 7.1 3.22 11.8 79.9 1441 14.8 51.2 16.1 1 1 1 54 860.101 17 36 30 75 7.5 3.35 11.4 81.9 4029 12.4 44.0 12.0 6 4 16 58 936.234 18 15 30 73 8.2 3.15 12.2 84.2 4824 4.7 53.1 12.7 17 8 28 38 871.766 19 31 27 74 7.2 3.44 10.8 87.0 4834 15.8 43.5 13.6 52 35 124 59 959.221 20 30 24 72 6.5 3.53 10.8 79.5 3694 13.1 33.8 12.4 11 4 11 61 941.181 21 31 45 85 7.3 3.22 11.4 80.7 1844 11.5 48.1 18.5 1 1 1 53 891.708 22 31 24 72 9.0 3.37 10.9 82.8 3226 5.1 45.2 12.3 5 3 10 61 871.338 23 42 40 77 6.1 3.45 10.4 71.8 2269 22.7 41.4 19.5 8 3 5 53 971.122 24 43 27 72 9.0 3.25 11.5 87.1 2909 7.2 51.6 9.5 7 3 10 56 887.466 25 46 55 84 5.6 3.35 11.4 79.7 2647 21.0 46.9 17.9 6 5 1 59 952.529 26 39 29 76 8.7 3.23 11.4 78.6 4412 15.6 46.6 13.2 13 7 33 60 968.665 27 35 31 81 9.2 3.10 12.0 78.3 3262 12.6 48.6 13.9 7 4 4 55 919.729 28 43 32 74 10.1 3.38 9.5 79.2 3214 2.9 43.7 12.0 11 7 32 54 844.053 29 11 53 68 9.2 2.99 12.1 90.6 4700 7.8 48.9 12.3 648 319 130 47 861.833 30 30 35 71 8.3 3.37 9.9 77.4 4474 13.1 42.6 17.7 38 37 193 57 989.265 31 50 42 82 7.3 3.49 10.4 72.5 3497 36.7 43.3 26.4 15 10 34 59 1006.490 32 60 67 82 10.0 2.98 11.5 88.6 4657 13.6 47.3 22.4 3 1 1 60 861.439 33 30 20 69 8.8 3.26 11.1 85.4 2934 5.8 44.0 9.4 33 23 125 64 929.150 34 25 12 73 9.2 3.28 12.1 83.1 2095 2.0 51.9 9.8 20 11 26 50 857.622 35 45 40 80 8.3 3.32 10.1 70.3 2682 21.0 46.1 24.1 17 14 78 56 961.009 36 46 30 72 10.2 3.16 11.3 83.2 3327 8.8 45.3 12.2 4 3 8 58 923.234 37 54 54 81 7.4 3.36 9.7 72.8 3172 31.4 45.5 24.2 20 17 1 62 1113.156 38 42 33 77 9.7 3.03 10.7 83.5 7462 11.3 48.7 12.4 41 26 108 58 994.648 39 42 32 76 9.1 3.32 10.5 87.5 6092 17.5 45.3 13.2 29 32 161 54 1015.023 40 36 29 72 9.5 3.32 10.6 77.6 3437 8.1 45.5 13.8 45 59 263 56 991.290 41 37 38 67 11.3 2.99 12.0 81.5 3387 3.6 50.3 13.5 56 21 44 73 893.991 42 42 29 72 10.7 3.19 10.1 79.5 3508 2.2 38.3 15.7 6 4 18 56 938.500 43 41 33 77 11.2 3.08 9.6 79.9 4843 2.7 38.6 14.1 11 11 89 54 946.185 44 44 39 78 8.2 3.32 11.0 79.9 3768 28.6 49.5 17.5 12 9 48 53 1025.502 45 32 25 72 10.9 3.21 11.1 82.5 4355 5.0 46.4 10.8 7 4 18 60 874.281 46 34 32 79 9.3 3.23 9.7 76.8 5160 17.2 45.1 15.3 31 15 68 57 953.560 47 10 55 70 7.3 3.11 12.1 88.9 3033 5.9 51.0 14.0 144 66 20 61 839.709 48 18 48 63 9.2 2.92 12.2 87.7 4253 13.7 51.2 12.0 311 171 86 71 911.701 49 13 49 68 7.0 3.36 12.2 90.7 2702 3.0 51.9 9.7 105 32 3 71 790.733 50 35 40 64 9.6 3.02 12.2 82.5 3626 5.7 54.3 10.1 20 7 20 72 899.264 51 45 28 74 10.6 3.21 11.1 82.6 1883 3.4 41.9 12.3 5 4 20 56 904.155 52 38 24 72 9.8 3.34 11.4 78.0 4923 3.8 50.5 11.1 8 5 25 61 950.672 53 31 26 73 9.3 3.22 10.7 81.3 3249 9.5 43.9 13.6 11 7 25 59 972.464 54 40 23 71 11.3 3.28 10.3 73.8 1671 2.5 47.4 13.5 5 2 11 60 912.202 55 41 37 78 6.2 3.25 12.3 89.5 5308 25.9 59.7 10.3 65 28 102 52 967.803 56 28 32 81 7.0 3.27 12.1 81.0 3665 7.5 51.6 13.2 4 2 1 54 823.764 57 45 33 76 7.7 3.39 11.3 82.2 3152 12.1 47.3 10.9 14 11 42 56 1003.502 58 45 24 70 11.8 3.25 11.1 79.8 3678 1.0 44.8 14.0 7 3 8 56 895.696 59 42 83 76 9.7 3.22 9.0 76.2 9699 4.8 42.2 14.5 8 8 49 54 911.817 60 38 28 72 8.9 3.48 10.7 79.8 3451 11.7 37.5 13.0 14 13 39 58 954.442