Increase in Life Expectancy in the United States during the 20th Century Year 1920 1930 1940 1950 1960 1970 Expected Life Span 54.1 59.7 62.9 68.2 69.7 70.8 Year 1975 1980 1985 1990 1995 Expected Life Span 72.6 73.7 74.7 75.4 75.8
Make a
relationship the points seem to follow. Also name the best type of
transformation needed to "straighten" the plot.
Note: Part of the transformation shouId involve subtracting 1900 from the year so
you're working with more manageable numbers.
Now try some transformations to get the data as close to linear as possible.
(Use your calculator to transform the data, and try scatterplots of the different
transformations). Then find the regression line, r, and r2.
Tell which transformation worked the best and back it up by showing:
• A scatterplot of the transformed data with the least-squares regression equation and
line, r, and r-squared.
• A plot of the original data with the regression equation converted to a non-linear
equation
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