The percentages of Americans who believe marriages between same-sex couples should be recognized by the law as valid are shown in Table 53 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. Create a scatterplot by hand.
b. Draw a linear model on your scatterplot.
c. Use your linear model to predict at what age 65% of Americans believe same-sex couples should be recognized by the law as valid.
d. Find the p-intercept of your linear model. What does it mean in this situation?
e. Find the a-intercept of your linear model. What does it mean in this situation?

Transcribed Image Text:

Table 53 Percentages of Americans Who Support Same-Sex Marriage Age Used to Represent Age Group yoars 23.5 34.5 44.5 54.5 64.5 74.S 85.0 Age Group lyears) 18-29 30-39 40-49 50-59 60-69 70-79 Percent 71 56 49 46 42 32 21 over 79