The percentages of births outside marriage in the United States are shown in Table 14 for various years.

Let p be the percentage of births outside marriage in the United States at t years since 1900.
a. Construct a scatterplot.
b. Describe the four characteristics of the association. Compute and interpret r as part of your analysis.
c. Find an equation of a linear model.
d. Graph the model on the scatterplot. Verify that the line passes through the two points that you chose in finding the equation in part (c) and that it comes close to all of the data points.

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Table 14 Births Outside Marriage Year 1990 1995 2000 2005 2010 2013 Percentage of Births outside Marriage 28.0 32.2 3.2 36.9 40.8 40.6