With the provided information below, please interpret (in words) the regression
ID: 3295214 • Letter: W
Question
With the provided information below, please interpret (in words) the regression coefficients.reg insalesprice approx sqft ource df MS 3849 1, 3847)=10515.93 0.0000 0.7322 Adj R-squared = 0.7321 38009 Number of obs Model 1519.18858 1 1519.18858 Residual 555.758465 3847 .144465419 Prob F R-squared Total 2074.94704 3848 .539227402 Root MSE lnsalesprice I Coef . Std. Err [95% Conf. Interval] 0004469 cons 11.59049 .0137263 844.40 0.00011.56358 11.6174 approx sqft 0004385 4.28e-06 102.55 0.000 0004301
Explanation / Answer
Clearly , the degrees of freedom for the model is 1 . The with-intercept model has only one regressor . Given that F(1,3847) = 10515.93 , ( which is the value of F-statistics ) it clearly shows that The model is significant & the model can explore approximately 73 % of the data .
The coefficient of intercept term is 11.59049 & the same for the regressor " approx sqft " is .0004385 . The value of the t-statistics corresponding to the intercept term is 844.4 & the same for the regressor " approx sqft " is 102.55 . p-value for both intercept term & the regressor is 0.00 , which clearly suggests that both intercept term & the regressor has significance in the model , so that any of them cannot be dropped from the model .
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