MS 150 Statistics Quiz 04.4 • • Name:

Treadmill Treadmill Treadmill
Treadmill data from Genesis fitness and health annex

distance (miles)time (min)
00
0.668
1.0212
1.3816
1.7620
2.8432
3.2336
  1. _________ Calculate the sample size n (the number of data pairs).
  2. ______________ Calculate the slope of the linear regression trend line for the data.
  3. ______________ Calculate the y-intercept of the linear regression for the data.
  4. ______________ Is the relationship positive, negative, or neutral?
  5. ______________ Calculate the correlation coefficient r for the data.
  6. ______________ Is the correlation none, weak/low, moderate, strong/high, or perfect?
  7. ______________ Determine the coefficient of determination.
  8. ______________ What percent in the variation in the distance accounts for the variation in the time?
  9. ______________ Use the slope and intercept to predict the time for a distance of 2.48 miles.
  10. ______________ On September 05 I ran for 122 minutes. Use the slope and intercept to predict the distance for a time of 122 minutes.
  11. ______________ Can the trend line be extended to any distance, any time? Can it be used to calculate how far I will run in 48 hours (2880 minutes)?