MS 150 Statistics Quiz 11 • Name:

Evening run background rectangle major grid lines axes x-axis and y-axis coordinate labels for the circles below Dolihner Nett Bridge Palipowe Nett Bridge Airport Dolihner linear regression line data points as circles text layers Evening long run Time (hours) Distance (km) y-axis labels 0 2 4 5 7 9 11 12 14 16 18 x-axis labels 0.0 0.2 0.5 0.7 0.9 1.2 1.4 1.6 1.8 2.1 2.3

Time (hours)Distance (km)
0.00.0
0.54.0
0.75.2
0.86.4
1.411.1
2.317.8
  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 distance after one hour of running.
  4. ______________ Use the slope and intercept to calculate the predicted time to run 16 kilometers.
  5. ______________ Does the relationship appear to be linear, non-linear, or random (no relationship)?
  6. ______________ Determine the correlation coefficient r.
  7. ______________ Is the correlation positive or negative?
  8. ______________ Is the correlation none, weak, moderate, strong, or perfect?
  9. ______________ Determine the coefficient of determination.
  10. ______________ What percent in the variation in time accounts for the variation the distance?
  11. ______________ What is the average speed of the runner in kilometers per hour?