Table 1.23 shows the number of doctoral degrees earned by Hispanic students for several years. Let x = 0 represent 1980, x = 1 represent 1981, and so forth.

(a) Find a linear regression equation for the data and superimpose its graph on a scatter plot of the data.
(b) Use the regression equation to predict the number of doctoral degrees that will be earned by Hispanic Americans in 2002. How close is the estimate to the actual number in 2002 of 1432?
(c) Find the slope of the regression line. What does the slope represent?

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Table 1.23 Doctorates Earned by Hispanic Americans Year Number of Degrees 1981 456 1985 677 1990 780 1995 984 2000 1305