Multiple Linear Regression on Zillow Sales in Morgantown

Model summary output


Call:
lm(formula = price ~ log_living_area_sqft + log_lot_land_area_sqft + 
    bath, data = t)

Residuals:
    Min      1Q  Median      3Q     Max 
-874268  -56790    1259   58785  437843 

Coefficients:
                       Estimate Std. Error t value             Pr(>|t|)    
(Intercept)            -1542365     154597  -9.977 < 0.0000000000000002 ***
log_living_area_sqft     208210      21255   9.796 < 0.0000000000000002 ***
log_lot_land_area_sqft    20424       6166   3.312             0.001030 ** 
bath                      31635       8977   3.524             0.000486 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 120500 on 325 degrees of freedom
Multiple R-squared:  0.6101,    Adjusted R-squared:  0.6065 
F-statistic: 169.5 on 3 and 325 DF,  p-value: < 0.00000000000000022

All variables can significantly predict price of a home by looking at the P-values.

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