The percentages of Americans who currently have a personal profile page on a social networking website such as Facebook are shown in Table 54 for various age groups.

Let p be the percentage of Americans at age a years who have a personal profile page.
a. Construct a scatterplot by hand.
b. Draw a linear model on your scatterplot.
c. Use your linear model to predict at what age 70% of Americans have a profile page.
d. Find the p-intercept of your linear model. What does it mean in this situation? Do you have much faith in your result? Explain.
e. Find the a-intercept of your linear model. What does it mean in this situation? Do you have much faith in your result? Explain.

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Table 54 Percentages of Americans Who Currently Have a Personal Profile Page on a Social Networking Website Age Group years) 12-17 18-24 25-34 35-44 Age Used to Represent Age Group (years) 14.5 21.0 29.5 39.5 49.5 595 70.0 Percent 78 65 51 35 31 13 55-64 over 64