In: Statistics and Probability
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 ?