Question: A brokerage house would like to be able to predict the number of trade executions per day and has decided to use the number of
A brokerage house would like to be able to predict the number of trade executions per day and has decided to use the number of incoming phone calls as a predictor variable. Data were collected over a period of 35 days and are presented in the table below. Assuming a linear relationship, how much of the total variation in the Executions variable is explained by the Calls variable? Enter your answer as a proportion to four decimal places.
| Day | Calls | Executions |
| 1 | 2591 | 417 |
| 2 | 2146 | 321 |
| 3 | 2185 | 362 |
| 4 | 2245 | 364 |
| 5 | 2600 | 442 |
| 6 | 2510 | 386 |
| 7 | 2394 | 370 |
| 8 | 2486 | 376 |
| 9 | 2483 | 463 |
| 10 | 2297 | 389 |
| 11 | 2106 | 302 |
| 12 | 2035 | 266 |
| 13 | 1936 | 339 |
| 14 | 1951 | 369 |
| 15 | 2292 | 403 |
| 16 | 2094 | 319 |
| 17 | 1897 | 306 |
| 18 | 2237 | 397 |
| 19 | 2328 | 365 |
| 20 | 2078 | 330 |
| 21 | 2134 | 312 |
| 22 | 2192 | 340 |
| 23 | 1965 | 339 |
| 24 | 2147 | 364 |
| 25 | 2015 | 295 |
| 26 | 2046 | 292 |
| 27 | 2073 | 379 |
| 28 | 2032 | 294 |
| 29 | 2108 | 329 |
| 30 | 1923 | 274 |
| 31 | 2069 | 326 |
| 32 | 2061 | 306 |
| 33 | 2010 | 352 |
| 34 | 1913 | 290 |
| 35 | 1904 | 283 |
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