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. t Statistic Vartable Intercept Sale price Coefficient 5.2700 Standard Error e.12679 41.56 -0.0741 e.0239 -3.10 Sub-Zero brand 1.2056 e.1387 8.69 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 e.07588 e.00626 e.07222 12.12 e.e5354 0.74 Base -е. зез1 e.03846 -7.88 -e.7693 e.1337 -5.75 -0.8381 e.1529 -5.48 (0) 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.) InPrice)= |SalePrice |Sub-Zero+ Capacity 2DoorFzBot + | 200oorFzTop+ | 1DoorFz+ 1DoorNoFz (b) Find the pvalue 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 required. Round your answers to 4 decimal places.) p-value SalePrice Sub-Zero Capacity 20oorfz8ot 20oorfzTop 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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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solve a,b,c and d given in the image provided.

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
Variable
Standard Error
Intercept
Sale price
Sub-Zero brand
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
e.12679
41.56
e.0239
0.1387
-0.0741
-3.10
8.69
12.12
8.74
1.2056
8.07588
8.00626
0.07222
8.05354
Base
-0.3031
0.03846
-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 +
2DoorFzTop +
Sub-Zero +
IDoorFz+
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
modier? (Round your answer to 4 declmal places.)
The natural log of the price decreases by
(d) Which modei demands a higher price: the side freezer or the one door with freezer model?
The side freezer
O The one door
Transcribed Image Text: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 Variable Standard Error Intercept Sale price Sub-Zero brand 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 e.12679 41.56 e.0239 0.1387 -0.0741 -3.10 8.69 12.12 8.74 1.2056 8.07588 8.00626 0.07222 8.05354 Base -0.3031 0.03846 -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 + 2DoorFzTop + Sub-Zero + IDoorFz+ 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 modier? (Round your answer to 4 declmal places.) The natural log of the price decreases by (d) Which modei demands a higher price: the side freezer or the one door with freezer model? The side freezer O The one door
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