2.75 College students by state. How well does the population of a state predict the number of undergraduates? The National Center for Educational Statistics collects data for each of the 50 U.S. states that we can use to address this question.18

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    (a) Make a scatterplot with population on the x axis and number of undergraduates on the y axis.

  2. (b) Describe the form, direction, and strength of the relationship. Are there any outliers?

  3. (c) For the number of undergraduates, the mean is 302,136 and the standard deviation is 358,460, and for population, the mean is 5,955,551 and the standard deviation is 6,620,733. The correlation between the number of undergraduates and the population is 0.98367. Use this information to find the least-squares regression line. Show your work.

  4. (d) Add the least-squares line to your scatterplot.