The following data represents the monthly natural gas consumption (in hundreds of cubic feet) for a family for a random sample of nine months selected from five years of data. The other variable is Degree-days which is a measure of temperature. Degree-days are the number of degrees the average temperature falls below 65 F.
Degree-
Days 6, 4, 12, 43, 0, 52, 26, 30, 33
Gas 2.1, 1.7, 3.1, 8.9, 1.2, 11.0, 5.3, 6.9, 7.5
The regression equation is
Predictor Coef SE Coef T P
Constant 0.9595 0.1678 5.72 0.001
D-Days 0.189634 0.005845 32.44 0.000
S = 0.303674 R-Sq = 99.3%
Write the regression model sothat you can predict gass consumption krowing Degree-day. Write the equation in the terms of the actual variables.
Discuss the form, direction and strength of the relationship and verify. Give correct coefficient.
Calculate the residual for the first data point in the table. What is the purposew of residual analysis? State two assumptions necessary for regression analysis.
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