q12 sa3 Statistics ♒ Name:
Year | Time (s) |
-1 | 45 |
0 | 42 |
1 | 39 |
2 | 38 |
3 | 36 |
4 | 34 |
5 | 33 |
6 | 32 |
7 | 33 |
8 | 31 |
9 | 30 |
10 | 29 |
The table provides data on freestyle swimming times in seconds from 1999 to present for an athlete.
- _________ Calculate the sample size n for the data.
- _________ Calculate the slope of the linear regression (best fit line).
- _________ Calculate the y-intercept of the linear regression (best fit line).
- _________ Is the relation between year and time positive, negative, or neutral?
- _________ Calculate the linear correlation coefficient r for the data.
- ______________ Is the correlation none, weak/low, moderate, strong/high, or perfect?
- ______________ Determine the coefficient of determination.
- ______________ What percent in the variation in year "explains" the variation in time?
- _________ Use the slope and intercept to predict the time for the athlete in year 11.
- _________ Use the slope and intercept to determine the year in which the athlete is predicted to achieve a time of 23 seconds.