| Year | Time (sec) |
|---|
| 1912 | 82.2 |
| 1924 | 72.4 |
| 1932 | 66.8 |
| 1952 | 66.8 |
| 1960 | 61.2 |
| 1968 | 60.0 |
| 1976 | 55.65 |
| 1984 | 55.92 |
| 1992 | 54.64 |
| 2000 | 53.8 |
| 2008 | 53.1 |
gives the gold medal times for every other Summer Olympics forthe women’s 100-meter freestyle (swimming). ^^^
a. Decide which variable should be the independent variable andwhich should be the dependent variable.
b. Draw a scatter plot of the data.
c. Does it appear from inspection that there is a relationshipbetween the variables? Why or why not?
d. Calculate the least squares line. Put the equation in theform of: ? = a + bx.
e. Find the correlation coefficient. Is the decrease in timessignificant? Find the estimated gold medal time for 1932.
f. Find the estimated time for 1984.
g. Why are the answers from part f different from the chartvalues?
h. Does it appear that a line is the best way to fit the data?Why or why not?
i. Use the least-squares line to estimate the gold medal timefor the next Summer Olympics. Do you think that your answer isreasonable? Why or why not?
