In the 1990s, an upward trend was noticed in mean SAT math scores of college-bound seniors.

a. Find the equation of the least squares line. Let x represent the year, and let y represent the mean SAT score.
b. Is a linear model a good fit for these data? Justify your answer.
c. Verify that the least squares line passes through the mean x-value and the mean y-value.
d. What does the equation predict for the year 1994? How does this compare with the actual mean score of 504?
e. What does the equation predict for the year 2010? How reasonable is this prediction?

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Year 1991 1992 1993 1995 19961997 19981999 2000 Score 500 50 503 50650851 512 51 514