The percentages of Americans who believe marriages between same-sex couples should be recognized by the law as valid are shown in Table 33 for various age groups.

Let p be the percentage of Americans at age a years who believe marriages between same-sex couples should be recognized by the law as valid.
a. Use technology to construct a scatterplot.
b. Describe the four characteristics of the association. Compute and interpret r as part of your analysis.
c. Use technology to graph the model p = -0.72t + 84.59 on the scatterplot. Does the line come close to the data points?
d. What is the slope? What does it mean in this situation?
e. Predict the percentage of 27-year-old Americans who believe marriages between same-sex couples should be recognized by the law as valid.

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Table 33 Percentages of Americans Who Support Same-Sex Marriage Age Group (years) 18-29 30-39 40-49 50-59 60-69 70-79 over 79 Age Used to Represent Age Group years) 23.5 34.5 44.5 54.5 64.5 74.5 85.0 Percent 71 56 49 46 32 21