# x14.txt # # Reference: # # Helmut Spaeth, # Mathematical Algorithms for Linear Regression, # Academic Press, 1991, # ISBN 0-12-656460-4. # # S Weisberg, # Applied Linear Regression, # Wiley, 1980, page 146. # # Discussion: # # When petrol is pumped into tanks, hydrocarbons escape. To evaluate # the effectiveness of pollution controls, experiments were performed. # The quantity of hydrocarbons escaping was measured as a function # of the tank temperature, the temperature of the petrol pumped in, # the initial pressure in the tank, and the pressure of the petrol # pumped in. # # There are 32 rows of data. The data include: # # I, the index; # A1, the tank temperature; # A2, the petrol temperature; # A3, the initial tank pressure; # A4, the petrol pressure; # B, amount of escaping hydrocarbons; # # We seek a model of the form: # # B = A1 * X1 + A2 * X2 + A3 * X3 + A4 * X4. # 6 columns 32 rows Index Tank temperature (degrees Fahrenheit) Petrol temperature (degrees Fahrenheit) Initial tank pressure (pounds/square inch) Petrol pressure (pounds/square inch) Hydrocarbons escaping (grams) 1 33 53 3.32 3.42 29 2 31 36 3.10 3.26 24 3 33 51 3.18 3.18 26 4 37 51 3.39 3.08 22 5 36 54 3.20 3.41 27 6 35 35 3.03 3.03 21 7 59 56 4.78 4.57 33 8 60 60 4.72 4.72 34 9 59 60 4.60 4.41 32 10 60 60 4.53 4.53 34 11 34 35 2.90 2.95 20 12 60 59 4.40 4.36 36 13 60 62 4.31 4.42 34 14 60 36 4.27 3.94 23 15 62 38 4.41 3.49 24 16 62 61 4.39 4.39 32 17 90 64 7.32 6.70 40 18 90 60 7.32 7.20 46 19 92 92 7.45 7.45 55 20 91 92 7.27 7.26 52 21 61 62 3.91 4.08 29 22 59 42 3.75 3.45 22 23 88 65 6.48 5.80 31 24 91 89 6.70 6.60 45 25 63 62 4.30 4.30 37 26 60 61 4.02 4.10 37 27 60 62 4.02 3.89 33 28 59 62 3.98 4.02 27 29 59 62 4.39 4.53 34 30 37 35 2.75 2.64 19 31 35 35 2.59 2.59 16 32 37 37 2.73 2.59 22