# x20.txt # # Reference: # # Helmut Spaeth, # Mathematical Algorithms for Linear Regression, # Academic Press, 1991, # ISBN 0-12-656460-4. # # K Brownlee, # Statistical Theory and Methodology, # Wiley, 1965, pages 464-465. # # Discussion: # # In various states, population and drinking data was recorded. # # There are 46 rows of data. The data includes: # # I, the index; # A0, 1; # A1, the size of the urban population, # A2, the number of births to women between 45 to 49 # (actually, the reciprocal of that value, times 100) # A3, the consumption of wine per capita, # A4, the consumption of hard liquor per capita, # B, the death rate from cirrhosis. # # We seek a model of the form: # # B = A0 * X0 + A1 * X1 + A2 * X2 + A3 * X3 + A4 * X4. # 7 columns 46 rows Index One Urban population (percentage) Late births (reciprocal * 100) Wine consumption per capita Liquor consumption per capita Cirrhosis death rate 1 1 44 33.2 5 30 41.2 2 1 43 33.8 4 41 31.7 3 1 48 40.6 3 38 39.4 4 1 52 39.2 7 48 57.5 5 1 71 45.5 11 53 74.8 6 1 44 37.5 9 65 59.8 7 1 57 44.2 6 73 54.3 8 1 34 31.9 3 32 47.9 9 1 70 45.6 12 56 77.2 10 1 54 45.9 7 57 56.6 11 1 70 43.7 14 43 80.9 12 1 65 32.1 12 33 34.3 13 1 36 36.9 10 48 53.1 14 1 47 38.9 10 69 55.4 15 1 63 47.6 14 54 57.8 16 1 35 33.0 9 47 62.8 17 1 50 38.9 7 68 67.3 18 1 55 35.7 18 47 56.7 19 1 33 31.2 6 27 37.6 20 1 81 53.8 31 79 129.9 21 1 63 42.5 13 59 70.3 22 1 78 53.3 20 97 104.2 23 1 63 47.0 19 95 83.6 24 1 65 44.9 10 81 66.0 25 1 45 35.6 4 26 52.3 26 1 78 50.5 16 76 86.9 27 1 60 42.3 9 37 66.6 28 1 52 43.8 6 46 40.1 29 1 37 33.2 6 40 55.7 30 1 55 36.0 21 76 58.1 31 1 69 47.6 15 70 74.3 32 1 84 50.0 17 66 98.1 33 1 54 43.8 7 63 40.7 34 1 61 45.0 13 59 66.7 35 1 47 42.2 8 55 48.0 36 1 57 53.0 28 149 122.5 37 1 87 51.6 23 77 92.1 38 1 50 31.9 22 43 76.0 39 1 85 56.1 23 74 97.5 40 1 27 31.5 7 56 33.8 41 1 84 50.0 16 63 90.5 42 1 37 32.4 2 41 29.7 43 1 33 36.1 6 59 28.0 44 1 44 35.3 3 32 51.6 45 1 63 39.3 8 40 55.7 46 1 58 43.8 13 57 55.5