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. Construct a scatterplot.
b. Is there a linear association, a nonlinear association, or no association?
c. Compute r. On the basis of your scatterplot and r, determine the strength of the association.
d. Is the association positive, negative, or neither? What does that mean in this situation?
e. On the basis of your response to part (d), a student concludes that as adults grow older, they tend to switch from being in support of same-sex marriage to being against it. What would you tell the student?

Transcribed Image Text:

Table 33 Ages versus Percentages of Americans Who Support Same-Sex Marriage Age Group Age Used to Represent Age Group lyears) 23.5 34.5 lyears) Percent 30-39 40-49 50-59 60-69 70-79 over 79 54.5 64.5 74.5 85.0 71 56 49 46 42 32 21