Percentages of adults surveyed who plan to attend a Halloween party this year are shown in Table 48 for various age groups.

Let y be the percentage of adults at age x years who plan to attend a Halloween party this year.
a. Find an exponential regression equation.
b. What is the base b of your model = abx? What does it mean in this situation?
c. What is the y-intercept? What does it mean in this situation?
d. Use the model to predict the percentage of 21-year-old adults who plan to attend a Halloween party this year. What is the residual for the prediction? What does it tell you about the situation?
e. Predict the number of 42-year-old adults who plan to attend a Halloween party this year. There are about 4.2 million 42-year-old adults. Use units of thousands of adults and round to the ones place.

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Table 48 Percentages of Adults Who Plan to Attend a Halloween Party Age Group Age Used to Represent Age Group (years) (years) 18-24 25-34 35-44 45-54 55-64 65 or over Percent 21.0 29.5 39.5 49.5 59.5 70.0 34 25 14 10