A property dealer wants to predict the selling price of a house using a multiple linear regression
Question:
A property dealer wants to predict the selling price of a house using a multiple linear regression equation with living area, number of rooms, distance from airport as a predictor (independent) variables. A multiple linear regression analysis has been used on previous data of 100 flats. The following output was received.
Model Summary | ||||
Model | R | R Square | Adjusted R Square | Std. Error of the Estimate |
1 | .868a | .755 | .743 | 10.226979 |
a. Predictors: (Constant), distance_airport, living_area, no_of_rooms |
ANOVAb | ||||||
Model | Sum of Squares | df | Mean Square | F | Sig. | |
1 | Regression | 102305.682 | 3 | 34101.894 | 7.116 | .000a |
Residual | 555915.458 | 116 | 4792.375 | |||
Total | 658221.140 | 119 | ||||
a. Predictors: (Constant), distance_airport, living_area, no_of_rooms | ||||||
b. Dependent Variable: selling_price |
Coefficientsa | ||||||
Model | Unstandardized Coefficients | Standardized Coefficients | t | Sig. | ||
B | Std. Error | Beta | ||||
1 | (Constant) | 156.901 | 99.167 | 2.582 | .000 | |
living_area | 2.107 | .698 | .326 | 3.016 | .003 | |
no_of_rooms | 5.395 | 9.040 | .076 | 4.597 | .000 | |
distance_airport | 1.261 | .584 | .234 | 2.161 | .003 | |
a. Dependent Variable: selling_price |
QUESTIONS:
a) Estimate the regression equation and predict the selling price of a house with 1200 Square feet living area, 4 room and 5 km from airport.
b) Comment on goodness of model fit by interpreting R-square and ANOVA table.
c) Which variable is having highest impact on selling price of house? Why?
Stats Data and Models
ISBN: 978-0321986498
4th edition
Authors: Richard D. De Veaux, Paul D. Velleman, David E. Bock