# x25.txt # # Reference: # # S Chatterjee, B Price, # Statistical Theory and Methodology, # Wiley, 1977, page 61. # # Helmut Spaeth, # Mathematical Algorithms for Linear Regression, # Academic Press, 1991, # ISBN 0-12-656460-4. # # Discussion: # # The daily amount of evaporation from the ground can be represented # as a function of ground and air temperatures. # # There are 25 rows of data. Data includes: # # I, the index; # A0, 1; # A1, the maximum ground temperature, # A2, the minimum ground temperature, # A3, an index for the daily average ground temperature, # A4, the maximum air temperature, # A5, the minimum air temperature, # A6, an index for the daily average air temperature, # B, the daily quantity of evaporated water. # # We seek a model of the form: # # B = A0 * X0 + A1 * X1 + A2 * X2 + A3 * X3 + A4 * X4 + A5 * X5 + A6 * X6 # 9 columns 25 rows Index A0, 1 A1, the maximum ground temperature, A2, the minimum ground temperature, A3, an index for the daily average ground temperature, A4, the maximum air temperature, A5, the minimum air temperature, A6, an index for the daily average air temperature, B, the daily quantity of evaporated water. 1 1 84 65 147 85 59 151 30 2 1 84 65 149 86 61 159 34 3 1 79 66 142 83 64 152 33 4 1 81 67 147 83 65 158 26 5 1 84 68 167 88 69 180 41 6 1 74 66 131 77 67 147 4 7 1 73 66 131 78 69 159 5 8 1 75 67 134 84 68 159 20 9 1 84 68 161 89 71 195 31 10 1 86 72 169 91 76 206 38 11 1 88 73 178 91 76 208 43 12 1 90 74 187 94 76 211 47 13 1 88 72 171 94 75 211 45 14 1 88 72 171 92 70 201 45 15 1 81 69 154 87 68 167 11 16 1 79 68 149 83 68 162 10 17 1 84 69 160 87 66 173 30 18 1 84 70 160 87 68 177 29 19 1 84 70 168 88 70 169 23 20 1 77 67 147 83 66 170 16 21 1 87 67 166 92 67 196 37 22 1 89 69 171 92 72 199 50 23 1 89 72 180 94 72 204 36 24 1 93 72 186 92 73 201 54 25 1 93 74 188 93 72 206 44