In: Statistics and Probability
The value of a sports franchise is directly related to the amount of revenue that a franchise can generate. The file here represents the value in 2013 (in $millions) and the annual revenue (in $millions) for the 30 Major League Baseball franchises. (Data extracted from www.forbes.com/mlb-valuations/list.) Suppose you want to develop a simple linear regression model to predict franchise value based on annual revenue generated. What are the values for (1) the proportion of variation in value of a sports franchise that is explained by annual revenue , (2) the sum of squares Y , (3) the sum of squares predicted , (4) the sum of squares error , (5) the intercept A , (6) the slope b , (7) the predicted value of a sports franchise (in $millions) that generates $300 millions of annual revenue , and (8) the standard error of estimate ?
| Team | Revenue | Value |
| Baltimore | 206 | 618 |
| Boston | 336 | 1312 |
| Chicago White Sox | 216 | 692 |
| Cleveland | 186 | 559 |
| Detroit | 238 | 643 |
| Kansas City | 169 | 457 |
| Los Angeles Angels | 239 | 718 |
| Minnesota | 214 | 578 |
| New York Yankees | 471 | 2300 |
| Oakland | 173 | 468 |
| Seattle | 215 | 644 |
| Tampa Bay | 167 | 451 |
| Texas | 239 | 764 |
| Toronto | 203 | 568 |
| Arizona | 195 | 584 |
| Atlanta | 225 | 629 |
| Chicago Cubs | 274 | 1000 |
| Cincinnati | 202 | 546 |
| Colorado | 199 | 537 |
| Houston | 196 | 626 |
| Los Angeles Dodgers | 245 | 1615 |
| Miami | 195 | 520 |
| Milwaukee | 201 | 562 |
| New York Mets | 232 | 811 |
| Philadelphia | 279 | 893 |
| Pittsburgh | 178 | 479 |
| St. Louis | 236 | 716 |
| San Diego | 189 | 600 |
| San Francisco | 262 | 786 |
| Washington | 225 | 631 |