Delmarva Power is a utility company that would like to predict the monthly heating bill for a household in Kent County during the month of January. A random sample of households in the county was selected and their January heating bill recorded along with the following variables: SF: the square footage of the house Age: the age of the current heating system in years Temp: the thermostat setting, in degrees Fahrenheit, during the day The following figure shows the regression output from Excel.

a. Test the significance of each independent variable using α = 0.05.

b. Construct a 95% confidence interval for each regression coefficient and interpret the meaning.

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O ANOVA 12 Regression 13 Residual 24 Total 1S 16 17 Intercept 18 SF 9 Age 20 Temp 3 102454.9381 28 61158.5619 Coefficients Stondard Error 322.0966 0.0210 1.5089 5.0058 652 2924 0.0904 2.0430 0.8250