Exercises on Linear Regression

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For questions 1 - 5, refer to the table below.

  A B C D E F
AGE 22 27 25 22 26 25
TEMP 98.0 98.4 97.6 98.0 98.7 98.1



1. The table above represents the ages and temperatures of 6 randomly selected adults. Find the value of the correlation coefficient.

  r = 0.485.
  r = 0.854.
  r = 0.584.


2. What is the critical value that corresponds to n = 6 and a 95% level of confidence.

  The critical value is 0.917.
  The critical value is 0.707.
  The critical value is 0.811.


3. Find a regression equation that best fits this data.

  y = 95.97 + 0.09x.
  y = 0.09 + 95.97x.
  y = 2.66x - 236.88.


4. What is the centroid.

  (24.5, 98.13).
  (98.13, 24.5).
  (25.1, 98.2).


5. What is the best predicted temperature for a person who is 25 years old?

  98.60.
  98.13.
  96.20.




For questions 6 - 10, refer to the table below.

  A B C D E F G H I J
QB 967 500 1400 1525 1500 1500 1600 900 425 1450
Team 19413 21992 23738 24644 23245 24378 23258 19545 19325 20397



6. The table above represents a random sample of quarterback and team salaries from the 1991 season of the National Football League as reported by the Associated Press. The data was found at the DASL website http://lib.stat.cmu.edu/DASL/Datafiles/qbacksalarydat.html. NOTE: Salaries are in thousands. Find the value of the correlation coefficient.

  r = 0.6789
  r = 0.6995
  r = 0.7110


7. What is the critical value that corresponds to n = 10 and a 95% level of confidence..

  0.632.
  0.765.
  0.000.


8. Find a regression equation that best fits this data.

  y = 3.27x + 18145.
  y = 18145x + 3.27.
  y = 0.1409x - 1923.


9. What is the centroid.

  (21993.5, 1196.7).
  (1176.7, 21993.5).
  (10000.2, 20000).


10. What is the best predicted team salary for a QB who is makes $1700? Report answers in thousands.

  $20000.
  $23704.
  $21993.50


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Copyright © 1998 Donna Tupper.