The percentages of Americans who went to the movies at least once in the past year are shown in Table 29 for various age groups.

Let p be the percentage of Americans at age a years who go to the movies.
a. Construct a scatterplot.
b. Describe the four characteristics of the association. Compute and interpret r as part of your analysis.
c. Graph the model p = -1.04a + 111.56 on the scatterplot. Does it come close to the data points?
d. What is the slope? What does it mean in this situation?
e. Estimate at what ages more than half of Americans go to the movies.

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Table 29 Percentages of Americans Who Go to the Movies Age Group years 18-24 25-34 Age Used to Represent Age Group (years) Percent 21.0 29.5 395 49.5 59.5 69.5 80 79 73 65 45-54 55-64 65-74 over 74 38 28