Reference no: EM131668217

Question: Table gives the gold medal times for every other Summer Olympics for the women's 100-meter freestyle (swimming).

Year                   Time (seconds)

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

a. Decide which variable should be the independent variable and which should be the dependent variable.

b. Draw a scatter plot of the data.

c. Does it appear from inspection that there is a relationship between the variables? Why or why not?

d. Calculate the least squares line. Put the equation in the form of: y = a + bx.

e. Find the correlation coefficient. Is the decrease in times significant?

f. Find the estimated gold medal time for 1932. Find the estimated time for 1984.

g. Why are the answers from part f different from the chart values?

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 time for the next Summer Olympics. Do you think that your answer is reasonable? Why or why not?