This exercise illustrates one of the pitfalls that can

Chapter 4, Problem 33

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This exercise illustrates one of the pitfalls that can arise in using a regression line: large discrepancies can occur when the regression line is used to make long-term projections. The table in the following figure shows the population of California during the years 1860 1900. The graph displays the scatter plot of the data; the equation of the regression line is As you can see from the scatter plot, the population growth over this period is very nearly linear. (a) Use the regression line to estimate the population of California in 1990. (b) According to the U.S. Bureau of the Census, the population of California in 1990 was 29,839,250. Is your estimate in part (a) close to this figure?

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