A statistician is curious if the gold medal time for the women’s 100 – meter freestyle depends upon the year that the Summer Olympics took place. A sample of every other Summer Olympics for the women’s 100-meter freestyle produced the following data:
Year
Time (in seconds)
1912
82.2
1924
72.4
1932
66.8
1952
1960
61.2
1968
60.0
1976
55.65
1984
55.92
1992
54.64
2000
53.8
2008
53.1
Identify a lurking variable for this situation.
Find the equation of the least-squares line. Identify and interpret the slope and the y – intercept.
Find the correlation coefficient and interpret.
Determine if there is a significant correlation between the gold medal time and the year of the Summer Olympics. Explain your reasoning.
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