The data below gives the gold medal times for every other Summer Olympics for the women’s...

The data below gives the gold medal times for every other Summer Olympics for the women’s 100-meter freestyle (swimming). Can you predict the gold medal times by the year?

Year Time (seconds)

1968 60.0

1976 55.65

1984 55.92

1992 54.64

2000 53.8

2008 53.1

If you can make predictions, when the year is 1972, the gold medal time would be? Please answer with one decimal place. If you can’t make a prediction, put “none” in the answer box.

Solutions

Expert Solution

We use linear regression to predict the time given the year.

Hence dependent variable = time
independent variable = year

The detailed steps are given below.

Using the regression equation we find the time in 1972

Y=348.9613−0.1476X

X = 1972

Y=348.9613−0.1476(1972)= 57.8941

orchestra answered 1 year ago

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