Need regression problem help 4 total
4-22
| Problem 4-22 Data | |||
| The following data give the selling price, square footage, number of bedrooms, and age of houses | |||
| that have sold in a neighborhood in the past 6 months. Develop three regression models to predict the selling price based on upon | |||
| each of the other factors invidually. Which of these is best? | |||
| Selling Price($) | Square Footage | Bedrooms | Age (Years) |
| 84,000 | 1,670 | 2 | 30 |
| 79,000 | 1,339 | 2 | 25 |
| 91,500 | 1,712 | 3 | 30 |
| 120,000 | 1,840 | 3 | 40 |
| 127,500 | 2,300 | 3 | 18 |
| 132,500 | 2,234 | 3 | 30 |
| 145,000 | 2,311 | 3 | 19 |
| 164,000 | 2,377 | 3 | 7 |
| 155,000 | 2,736 | 4 | 10 |
| 168,000 | 2,500 | 3 | 1 |
| 172,500 | 2,500 | 4 | 3 |
| 174,000 | 2,479 | 3 | 3 |
| 175,000 | 2,400 | 3 | 1 |
| 177,500 | 3,124 | 4 | 0 |
| 184,000 | 2,500 | 3 | 2 |
| 195,500 | 4,062 | 4 | 10 |
| 195,000 | 2,854 | 3 | 3 |
4-23
| Use the data in Problem 4-22 and develop a regression model to predict selling price based on the square footage |
| and number of bedrooms. Use this to predict the selling price of a 2,000 square foot house with three bedrooms. Compare this model |
| with the models in Problem 4-22. Should the number of bedrooms be included in the model? Why or why not? |
4-24
| Use the data in Problem 4-22 and develop a regression model to predict selling price based on the square footage, | |
| number of bedrooms, and age. Use this to predict the selling price of a 10-year-old, 2,000-square-foot house with three bedrooms. | |
| 1 | State the linear equation. |
| 2 | Explain the overall statistical significance of the model. |
| 3 | Explain the statistical significance for each independent variable in the model |
| 4 | Interpret the Adjusted R2. |
| 5 | Is this a good predictive equation(s)? Which variables should be excluded (if any) and why? Explain. |
4-30
| In 2012, the total payroll for the New York Yankess was almost $200 million, while the total payroll for the Oakland Athletics | ||
| (a team known for using baseball analytics or sabermetrics) was about $55 million, less than one-third of the Yankees payroll. | ||
| In the following table, you will see the payrolls (in millions) and the total number of victories for the baseball teams in the American | ||
| League in the 2012 season. Develop a regression model to predict the total number of victories based on the payroll. Use the | ||
| model to predict the number of victories for a team with a team with a payroll of $79 million. Based on the results of the computer | ||
| output, discuss the relationship between payroll and victories. | ||
| Team | Payroll ($MILLIONS) | NUMBER OF VICTORIES |
| Baltimore Orioles | 81.4 | 93 |
| Boston Red Sox | 173.2 | 69 |
| Chicago White Sox | 96.9 | 85 |
| Cleveland Indians | 78.4 | 68 |
| Detroit Tigers | 132.3 | 88 |
| Kansas City Royals | 60.9 | 72 |
| Los Angeles Royals | 154.5 | 89 |
| Minnesota Twins | 94.1 | 66 |
| New York Yankees | 198 | 95 |
| Oakland Athletics | 55.4 | 94 |
| Seattle Mariners | 82 | 75 |
| Tampa Bay Rays | 64.2 | 90 |
| Texas Rangers | 120.5 | 93 |
| Toronto Blue Jays | 75.5 | 73 |