preview

Statistics Paper - Condosales

Satisfactory Essays

Case Study: Condo Sales Case A. Brief introduction to the case This case involves an investigation of the factors that affect the sale price of oceanside condominium units. The sales data were obtained for a new oceanside condominium complex consisting of two adjacent and connecting eight-floor buildings. The complex contains 200 units of equal size (approximately 500 square feet each). Variables • Dependent variable 1. Sale price: Y • Independent variables 1. Floor height: x1 2. Distance from elevator: x2 3. View of the ocean: x3 4. End unit: x4 5. Furniture: x5 Issues identified • To build a regression model that accurately predicts the sale price of a condominium unit sold at …show more content…

iii) The hypotheses of interest concern the interaction parameter β10. Specifically, H0: β10 = 0 Ha: β10 < 0 Test statistic: t = 1.378, p-value = 0.170, respectively. The lower-tailed p-value, obtained by dividing the two-tailed p-value in half, is 0.170/2 = 0.085. Since we are testing using α = 0.1, α exceeds the p-value, thus we can reject H0 and conclude that the rate of change of the sale price of the condos with distance from the elevator(x2) decreases when the view(x3) decreases ; that is x2 and x3 interact positively. Thus, it appears that the interaction term should be included in the model. Therefore the new multiple regression model is: E(y) = 198.934 – 6.474 x1 – 5.746 x2 + 58.666 x3 – 21.678 x4 + 0.872 x12 + 0.533x22 - 0.264 x1x2 – 5.93 x1x3 + 0.92 x2x3 C. Insight for business decision making Regression models are very useful in determination of important statistics in the corporate world. For instance, multiple regression models can be used to determine whether advertising, product loyalty, or price is the most important determinant of business growth. With this information, businesses are able to focus their resources into the channels which will help them achieve their targets effectively. It can also be used to calculate the predicted mileage for a vehicle with respect to different possible variables such as weight of vehicle, age of vehicle, and climate of country. Car manufacturers can capitalize on

Get Access