MS 150 Statistics Quiz 03 • Name:

Distance versus time background rectangle major grid lines axes x-axis and y-axis coordinate labels for the circles below Dolihner Nett Bridge 4TY Lidakida Dolihner linear regression line data points as circles text layers Distance versus time 09/10/08 Distance (km) Time (min) y-axis labels 0 7 14 21 28 35 42 49 56 63 70 x-axis labels 0 1 2 3 4 5 6 7 8 9 10

Data table

LocationDistance (km) xTime (min) y
Dolihner0.0000.00
Nett Bridge3.71021.67
4TY5.73134.93
Lidakida7.34045.10
Dolihner10.19163.42
  1. ______________ Determine the slope of the linear regression (best fit line) for the data.
  2. ______________ Determine the y-intercept of the linear regression for the data.
  3. ______________ Use the slope and intercept to calculate the predicted time at which the runner reached 3 kilometers. At three kilometers out from Dolihner is the donut shop in Nett.
  4. ______________ A typical fun run on Pohnpei is 5 kilometers. Use the slope and intercept to predict the time for the runner to run five kilometers.
  5. ______________ Use the slope and intercept to calculate the predicted distance the runner would run after 30 minutes.
  6. ______________ Does the relationship between distance and time appear to be linear, non-linear, or random (no relationship)?
  7. ______________ Determine the correlation coefficient r.
  8. ______________ Is the correlation positive or negative?
  9. ______________ Is the correlation none, weak, moderate, strong, or perfect?
  10. ______________ Can we safely predict the time for the runner to run 80 kilometers around Pohnpei?
  11. Why can we or why can we not safely predict the time for the runner to run 80 kilometers around Pohnpei?
  12. ______________ Can we safely predict the time for the runner to joggle (juggle while jogging/running) for 10.191 km?
  13. Why can we or why can we not safely predict the time for the runner to joggle (juggle while jogging/running) for 10.191 km?