Question

The table gives the winning times since 1968 in the men’s 100-meter backstroke in the Summer
Olympics.
1968 Roland Matthes, East Germany 0:58.70
1972 Roland Matthes, East Germany 0:56.58
1976 John Naber, United States 0:55.49
1980 Bengt Baron, Sweden 0:56.53
1984 Rick Carey, United States 0:55.79
1988 Daichi Suzuki, Japan 0:55.05
1992 Mark Tewksbury, Canada 0:53.98
1996 Jeff Rouse, United States 0:54.10
2000 Lenny Krayzelburg, United States 0:53.72
2004 Aaron Peirsol, United States 0:54.06
2008 Aaron Peirsol, United States 0:52.54
(1) Draw a scatter plot of the data. Be sure to label your axes.

(2) Compute the correlation coefficient r.

(3) Determine if a linear relationship exists by using the table in the back of your textbook for PPMC
(table II). Explain your decision.

If a linear relationship exists, then complete the following:
(4) Determine the equation of the least-squares regression line.

(5) Use the equation to predict the winning time in the 2012 Olympics.

(6) Look up the actual winning time and explain any differences.