For each of the 32 National Football League teams, the numbers of points scored and allowed during the 2016 season are shown below.

Assuming these are sample data, answer the following questions. You may use statistical software to assist you.
a. What is the correlation coefficient between these variables? Are you surprised the association is negative? Interpret your results.
b. Find the coefficient of determination. What does it say about the relationship?
c. At the .05 significance level, can you conclude there is a negative association between €œpoints scored€ and €œpoints allowed€?
d. At the .05 significance level, can you conclude there is a negative association between €œpoints scored€ and €œpoints allowed€ for each conference?

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PTS PTS PTS PTS TEAM Allowed Conference Scored Allowed TEAM Conference Scored 343 321 418 362 Baltimore AFC Arizona NFC Buffalo AFC 399 378 Atlanta NFC 540 406 Cincinnatil AFC 325 315 Carollna NFC 369 402 NFC Cleveland AFC 264 452 Chicago 279 399 NFC Denver AFC 333 297 Dallas 421 306 AFC 328 346 Houston 279 Detrolt NFC 358 Indlanapolls AFC 411 392 Green Bay NFC 432 388 Jacksonvlle AFC 318 400 Los Angeles NFC 224 394 Kansas City NFC AFC 389 311 Minnesota 327 307 Mlaml AFC 363 380 NY Glants NFC 469 454 New England NY Jets 441 310 284 AFC 250 New Orleans NFC NFC AFC 275 409 Philadelphla 367 331 Oakland 416 385 AFC San Francisco NFC 309 480 Seattle Pittsburgh San Dlego AFC 399 327 NFC 354 292 AFC 410 423 Tampa Bay NFC 354 369 383 Tennessee AFC 381 378 WashIngton NFC 396