Question
Refrigerator prices are affected by characteristics such as whether or not the refrigerator is on sale, whether or not it is listed as a Sub-Zero
Refrigerator prices are affected by characteristics such as whether or not the refrigerator is on sale, whether or not it is listed as a Sub-Zero brand, the number of doors (one door or two doors), and the placement of the freezer compartment (top, side, or bottom). The table below shows the regression output from a regression model using the natural log of price as the dependent variable. The model was developed by the Bureau of Labor Statistics.
Variable Coefficient Standard Error t Statistic
Intercept 5.4500 0.13381 40.73
Sale price 0.0745 0.0277 2.69
Sub-Zero brand 1.0330 0.1304 7.92
Total capacity (in cubic ft)0.06820 0.00586 11.64
Two-door, freezer on bottom 0.04282 0.08811 0.49
Two-door, side freezer Base
Two-door, freezer on top 0.4122 0.03619 11.39
One door with freezer 0.6171 0.1295 4.77
One door, no freezer 0.8660 0.1287 6.73
(a)Write the regression model, being careful to exclude the base indicator variable.(Negative amounts should be indicated by a minus sign. Round your answers to 4 decimal places.)
ln(Price)=_____+__________ SalePrice+__________Sub-Zero+____Capacity+_____2DoorFzBot+_____2DoorFzTop+____1DoorFz+____1DoorNoFz
(b)Find thep-value for each coefficient, using 305 degrees of freedom. Using an= .10, which predictor variable(s) are not significant predictors?(Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 4 decimal places.)
p-value
SalePrice ____
Sub-Zero ____
Capacity ____
2DoorFzBot ___
2DoorFzTop ____
1DoorFz ____
1DoorNoFz ____
(c)By how much does the natural log of refrigerator price decrease from atwo-door,side freezermodelto atwo-door,top freezer model?(Round your answer to 4 decimal places.)
The natural log of the price decreases by_____
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