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#9 A brokerage house would like to be able to predict the number of trade executions per day and has decided to use the number

#9 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, there was a total variation of 0.6301 in the Executions and Calls variables.

Question: Which of the following are true statements?

  1. The overall F test and the t test for the Calls coefficent have the same pvalue.
  2. All of these statements are true.
  3. Using Rsquared there is no way to determine if there is a statistically significant relationship between Calls and Executions.
  4. Using the correlation there is no way to determine if there is a statistically significant relationship between Calls and Executions.
  5. We know that there is a satistically significant relationship between Calls and Executions because the t test for the slope has a very small pvalue.
  6. We know that there is a statistically significant relationship between Calls and Executions because the Overall F statistic has a very small pvalue.

Data Table

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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