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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The following table gives the completion times for the winners in the women’s 200-meter dash finals in the Summer Olympic Games from 1972 to 2008. The times are in seconds rounded to the nearest 1/100 second.
Â
|
Olympic Year |
Time (seconds) |
|
1972 |
22.40 |
|
1976 |
22.37 |
|
1980 |
22.03 |
|
1984 |
21.81 |
|
1988 |
21.34 |
|
1992 |
21.81 |
|
1996 |
22.12 |
|
2000 |
21.85 |
|
2004 |
22.05 |
|
2008 |
21.74 |
a. Assign a value of 0 to 1972, 1 to 1976, 2 to 1980, and so on. Call this new variable Year. Make a new table with the variables Year and Time.
b. With year as an independent variable and time as the dependent variable, compute and
c. Construct a scatter diagram for these data. Does the scatter diagram exhibit a linear negative relationship between year and time?
d. Find the least squares regression line e. Give a brief interpretation of the values of a and b calculated in part d.
 f. Compute the correlation coefficient r. g. Predict the time for the year 2016. Comment on this prediction
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