MS 150 Statistics quiz 04 fall 2007 • Name:

Linear regression: On the 21^st of July I completed the INS "marasong" half marathon. As I ran I tracked my time in minutes (min) and distance in kilometers (km) using a GPS. The data is given in the table above.

1. ______________ Does the relationship between time and distance appear to be linear, non-linear, or random?
2. ______________ Determine the slope of the linear regression (best fit line) for the data.
3. ______________ Determine the y-intercept of the linear regression for the data.
4. ______________ Determine the correlation coefficient r.
5. ______________ Is the correlation positive or negative?
6. ______________ Is the correlation none, weak, moderate, strong, or perfect?
7. ______________ Determine the coefficient of determination.
8. ______________ What percent in the variation in time "explains" the variation in distance?
9. ______________ What would be the predicted distance after 45 minutes of running?
10. ______________ What would be the predicted time for me to reach the finish line at Spanish wall at 20.3 kilometers?

11. ______________ What is the probability of rolling a six on a twelve sided die numbered from one to twelve?
12. ______________ What is the probability of rolling a three or a multiple of three on a fifteen sided die numbered one to fifteen?
13. ________________________ Can a die be one-sided? What shape would a one-sided die be?
14. What are the three ways of determining a probability?