# x11.txt # # Reference: # # Helmut Spaeth, # Mathematical Algorithms for Linear Regression, # Academic Press, 1991, # ISBN 0-12-656460-4. # # S Weisberg, # Applied Linear Regression, # Wiley, 1980, pages 148-149. # # Discussion: # # In order to investiage the pasture rent structure with respect # to the grass variety, the following data were collected over # various districts in Minnesota. # # There are 67 rows of data. The data columns include: # # I, the index; # A1, the rent per acre of arable land, # A2, the number of milk cows per square mile, # A3, the difference between pasturage and arable land, # B, the rental price per acre for this variety of grass. # # We seek a model of the form: # # B = A1 * X1 + A2 * X2 + A3 * X3. # 5 columns 67 rows Index Rent per arable acre (dollars) Milk cows per square mile Difference between pasture and arable land Rental price per grassy acre 1 15.50 17.25 0.24 18.38 2 22.29 18.51 0.20 20.00 3 12.36 11.13 0.12 11.50 4 31.84 5.54 0.12 25.00 5 83.90 5.44 0.04 62.50 6 72.25 20.37 0.05 82.50 7 27.14 31.20 0.27 25.00 8 40.41 4.29 0.10 30.67 9 12.42 8.69 0.41 12.00 10 69.42 6.63 0.04 61.25 11 48.46 27.40 0.12 60.00 12 69.00 31.23 0.08 67.50 13 26.09 28.50 0.21 31.00 14 62.83 29.98 0.17 60.00 15 77.06 13.59 0.05 72.50 16 58.83 45.46 0.16 60.33 17 59.48 35.90 0.32 49.75 is 9.00 8.89 0.08 8.50 19 20.64 23.81 0.24 36.50 20 81.40 4.54 0.05 60.00 21 18.92 29.62 0.72 16.25 22 50.32 21.36 0.19 50.00 23 21.33 1.53 0.10 11.60 24 46.85 5.42 0.08 35.00 25 65.94 22.10 0.09 75.00 26 38.68 14.55 0.17 31.56 27 51.19 7.59 0.13 48.50 28 59.42 49.86 0.13 77.50 29 24.64 11.46 0.21 21.67 30 26.94 2.48 0.10 19.75 31 46.20 31.62 0.26 56.00 32 26.86 53.73 0.43 25.00 33 20.00 40.18 0.56 40.00 34 62.52 15.89 0.05 56.67 35 66.00 14.25 0.15 51.79 36 71.41 21.37 0.05 96.67 37 65.00 13.24 0.08 50.83 38 36.28 5.85 0.10 34.33 39 59.88 32.99 0.21 48.75 40 23.62 28.89 0.24 25.80 41 24.20 6.29 0.06 20.00 42 17.09 33.34 0.66 16.00 43 44.56 16.70 0.15 48.67 44 34.46 4.20 0.03 20.78 45 31.55 23.47 0.19 32.50 46 26.94 8.28 0.10 19.00 47 58.71 7.40 0.04 51.50 48 65.74 7.71 0.02 49.17 49 69.05 46.18 0.22 85.00 50 57.54 14.98 0.11 58.76 51 21.73 6.58 0.06 19.33 52 6.17 13.68 0.18 5.00 53 51.00 50.50 0.24 65.00 54 18.25 16.12 0.32 20.00 55 69.88 31.48 0.07 62.50 56 26.68 58.60 0.23 35.00 57 75.73 35.43 0.05 99.17 58 41.77 4.53 0.08 40.25 59 48.50 6.82 0.08 39.17 60 21.89 43.70 0.36 37.50 61 38.33 2.83 0.04 26.25 62 53.95 42.54 0.25 52.14 63 17.17 24.16 0.36 22.50 64 82.00 7.89 0.03 90.00 65 40.60 3.27 0.02 28.00 66 53.89 53.16 0.24 50.00 67 54.17 5.57 0.06 24.50