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In: Statistics and Probability

Refrigerator prices are affected by characteristics such as whether or not the refrigerator is on sale,...

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 5.7200 0.12131 47.15
Sale price −0.0751 0.0259 −2.90
Sub-Zero brand 1.0212 0.1446 7.06
Total capacity (in cubic ft) 0.06128 0.00617 9.94
Two-door, freezer on bottom 0.04045 0.07418 0.55
Two-door, side freezer Base
Two-door, freezer on top −0.4420 0.03712 −11.91
One door with freezer −0.7585 0.1314 −5.77
One door, no freezer −0.8598 0.1347 −6.38

(b) Find the p-value for each coefficient, using 310 degrees of freedom. Using an α = .01, 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 Not attempted
Sub-Zero Not attempted
Capacity Not attempted
2DoorFzBot Not attempted
2DoorFzTop Not attempted
1DoorFz Not attempted
1DoorNoFz Not attempted


(c)
By how much does the natural log of refrigerator price decrease from a two-door, side freezer model to a two-door, top freezer model? (Round your answer to 4 decimal places.)

The natural log of the price decreases by ?

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