An air conditioning and heating repair firm conducted a study to determine if the average outside temperature,thickness of the insulation,and age of the heating equipment could be used to predict the electric bill for a home during the winter months in Houston,Texas.The resulting regression equation was:
Y = 256.89 - 1.45X1 - 11.26X2 + 6.10X3,where Y = monthly cost,X1 = average temperature,X2 = insulation thickness,and X3 = age of heating equipment
(a)If December has an average temperature of 45 degrees and the heater is 2 years old with insulation that is 6 inches thick,what is the forecasted monthly electric bill?
(b)If January has an average temperature of 40 degrees and the heating equipment is 12 years old with insulation that is 2 inches thick,what is the forecasted monthly electric bill?
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