The Olympic winning men’s long jump distances (in meters) from 1896 to 2016 and the fitted regression line for predicting them using x = year are displayed in the following graph.

a. Identify an observation that may influence the fit of the regression line. Why did you identify this observation?

b. Which do you think is a better prediction for the year 2020—the sample mean of the y values in this plot or the value obtained by plugging 2020 into the fitted regression equation?

c. Would you feel comfortable using the regression line shown to predict the winning long jump for men in the year 2060? Why or why not?

Transcribed Image Text:

Meters 8.5 00 7.5 7 6.5 Scatterplot Winning Distance in Olympic Long Jump Event, 1896 - 2016 Regression Line: -19.1 +0.0138 1900 1920 1940 1960 Year 1980 2000 2020