Question: A developer who specializes in summer cottage properties is considering purchasing a large tract of land adjoining a lake. The current owner of the tract
A developer who specializes in summer cottage properties is considering purchasing a large tract of land adjoining a lake. The current owner of the tract has already subdivided the land into separate building lots and has prepared the lots by removing some of the trees. The developer wants to forecast the value of each lot. From previous experience, the developer knows that the most important factors affecting the price (in $1000s) of the lot are size (in thousands sq .ft.), number of mature trees, and distance (in feet) to the lake. From a nearby area, the developer gathers the relevant data for 60 recently sold lots. A multiple linear regression was performed using Excel.
| SUMMARY | |||||
| Regression Statistics | |||||
| Multiple R | 0.4924 | ||||
| R Square | 0.2425 | ||||
| Adjusted R Square | 0.2019 | ||||
| Standard Error | 40.2435 | ||||
| Observations | 60 | ||||
| ANOVA | |||||
|
| df | SS | MS | F | Sig F |
| Regression | 3 | 29029.72 | 9676.572 | 5.9749 | 0.0013 |
| Residual | 56 | 90694.33 | 1619.542 | ||
| Total | 59 | 119724 |
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| Coefficients | Standard Error | t Stat | P-value |
|
| Intercept | 51.3912 | 23.5165 | 2.1853 | 0.0331 |
|
| Lot size | 0.6999 | 0.5589 | 1.2524 | 0.2156 |
|
| Trees | 0.6788 | 0.2293 | 2.9603 | 0.0045 | |
| Distance | -0.3784 | 0.1952 | -1.9380 | 0.0577 | |
What is the dependent variable?
The "number of trees" is?
At 5% level of significance, the overall model is?
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