Question
A local real estate company wants to better understand the housing market in the Bethesda/Rockville area. The company hires you to do some analysis. Suppose
A local real estate company wants to better understand the housing market in the Bethesda/Rockville area. The company hires you to do some analysis. Suppose that you have collected information on the selling price of 218 houses that are randomly selected from recent transactions. You compute the sample mean of these prices to be Y-bar = $1,006,670 and the sample standard deviation to be s = $172,400. The distribution of the selling prices are given below.
Now suppose that in addition to the selling prices you also have data on some other characteristics of these 218 houses. The information available on each house is as follows:
PRICE = selling price
SIZE = gross living space (in square feet)
AGE = age of the house (in years)
BEDROOM = number of bedrooms
TOWN = 0 if the house is in Bethesda (Red), 1 if in Rockville (Green)
You run a multiple regression analysis on this data using SIZE, BEDROOM, AGE, and TOWN to predict PRICE, which produces the following report. Unfortunately, you accidentally spill coffee on the report and this leaves two cells blacked-out:
Summary of Fit
RSquare | |
RSquare Adj | 0.91498 |
Root Mean Square Error(Standard Error) | 50268.32 |
Mean of Response | 1006697 |
Observations (or Sum Wgts) | 218 |
Analysis of Variance
Source | DF | Sum of Squares | Mean Square | F Ratio |
---|---|---|---|---|
Model | 4 | 5.91132e12 | 1.4778e12 | 584.8378 |
Error | 213 | 5.3823e+11 | 2.5269e+9 | Significance F |
C. Total | 217 | 6.44955e12 | <.0001 |
Parameter Estimates
Term | Estimate | Std Error | t Ratio | p-value| | |
---|---|---|---|---|---|
Intercept | 244984.16 | 21937.82 | 11.16 | <.0001 | |
Size | 388.36313 | 12.22978 | 31.76 | <.0001 | |
Bedroom | 7471.2622 | 6883.59 | 1.09 | ||
Age | -1966.488 | 1581.758 | -1.24 | 0.2152 | |
Town | -98941.04 | 3505.532 | -28.22 | <.0001 |
Residual by Predicted Plot
For RSquare:
0.9165 | ||
0.9278 | ||
0.9021 | ||
0.9349 |
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