Question: A real estate company has built two predictive models for estimating the selling price of a house. Using a small test data set of 10
A real estate company has built two predictive models for estimating the selling price of a house. Using a small test data set of 10 observations, it tries to assess how the prediction models would perform on a new data set. The following table lists a portion of the actual prices and predicted prices generated by the two predictive models.
| House | Actual Price | Predicted Price 1 | Predicted Price 2 |
| 1 | 230500 | 254000 | 256000 |
| 2 | 209900 | 215500 | 223400 |
| 3 | 258900 | 240000 | 228000 |
| 4 | 185500 | 204000 | 219400 |
| 5 | 169000 | 157500 | 159400 |
| 6 | 350500 | 325800 | 339800 |
| 7 | 399900 | 423600 | 452500 |
| 8 | 310000 | 324500 | 305500 |
| 9 | 195500 | 180750 | 193750 |
| 10 | 328900 | 340000 | 324500 |
a. Compute the ME, RMSE, MAD, MPE, and MAPE for the two predictive models. (Round intermediate calculations to at least 4 decimal places and your final answers to 2 decimal places. Negative values should be indicated by a minus sign.)
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b. Are the predictive models over- or underestimating the actual selling price on average?
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c-1. Compare the predictive models to a base model where every house is predicted to be sold at the average price of all the houses in the training data set, which is $260,500. Compute RMSE for the base model. (Round intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.)
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c-2. Do the predictive models built by the real estate company outperform the base model in terms of RMSE?
The predictive models. outperform/ do not outperform the base model.
Which predictive model is the better-performing model?
the first / or the 2nd is the better-performing model.
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