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. Coefficient 5.2700 t Statistic 41.56 Variable Intercept Sale price Sub-Zero brand Standard Error 8.12679 -,8741 1.2056 e.0239 0.1387 -3.10 8.69 12.12 Total capacity (in cubic ft) Two-door, freezer on bottom Two-door, side freezer Two-door, freezer on top One door with freezer One door, no freezer 8.00626 e.07222 0.07588 8.05354 8.74 Base -0.3031 e.03846 -7.88 -0.7693 e.1337 -5.75 -0.8381 e.1529 -5.48 (a) Write the regression model, being careful to exclude the base indicator variable. (Negative amounts should be Indicated by a mlnus sign. Round your answers to 4 decimal places.) In(Price) = SalePrice + Capacity+ 2DoorFzBot +[ Sub-Zero + 2DoorFzTop + 1DoorFz+ IDoorNoFz (b) Find the p-value for each coefficient, using 302 degrees of freedom. Using an a = .01, which predictor variable(s) are not significant predictors? (Leave no cells blank - be certaln to enter "0" wherever requlred. Round your answers to 4 declmal places.) p-value SalePrice Sub-Zero Capacity 2DoorfzBot 2DoorfzTop 1Doorfz 1DoorNoFz (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 mode? (Round your answer to 4 decimal places.) The natural log of the price decreases by (d) Which model demands a higher price: the side freezer or the one door with freezer model? O The side freezer O The one door