(a) Use an appropriate computer program to fit aplane to the following data relating the monthly water usage of a production plant (gallons) to its monthly pro-duction (tons), mean monthly ambient temperature (◦F), and the monthly number of days of plant operation overa period of 12 months. Mean Days ofWater usage Production temperature operationy x1 x2 x32,228 98.5 67.4 192,609 108.2 70.3 203,088 109.6 82.1 212,378 101.0 69.2 211,980 83.3 64.5 191,717 70.0 63.7 212,723 144.7 58.0 192,031 84.4 58.1 201,902 97.4 36.6 171,721 131.8 49.6 232,254 82.1 44.3 182,522 64.5 44.1 19(b) Estimate the water usage of the plant during a month when its production is 90.0 tons, the mean ambient tem-perature is 65◦F, and it operates for 20 days.

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(a) Use an appropriate computer program to fit a
plane to the following data relating the monthly water

usage of a production plant (gallons) to its monthly pro-
duction (tons), mean monthly ambient temperature (◦F),

and the monthly number of days of plant operation over
a period of 12 months.

Mean Days of
Water usage Production temperature operation
y x1 x2 x3
2,228 98.5 67.4 19
2,609 108.2 70.3 20
3,088 109.6 82.1 21
2,378 101.0 69.2 21
1,980 83.3 64.5 19
1,717 70.0 63.7 21
2,723 144.7 58.0 19
2,031 84.4 58.1 20
1,902 97.4 36.6 17
1,721 131.8 49.6 23
2,254 82.1 44.3 18
2,522 64.5 44.1 19
(b) Estimate the water usage of the plant during a month

when its production is 90.0 tons, the mean ambient tem-
perature is 65◦F, and it operates for 20 days.

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