Percentages of adults surveyed who plan to attend a Halloween party this year are shown in Table 54 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 the exponential regression equation.
b. The equation of the exponential curve that contains the data points (39.5, 25) and (49.5, 14) is = 247(0.944)x. Graph the equation and the regression equation on the same scatterplot of the data. Describe how well each curve fits the data points.
c. Find the sum of the squared residuals for the model = 247(0.944)x.
d. Find the sum of the squared residuals for the exponential regression model.
e. Compare your results in parts (c) and (d) and explain why your comparison is not surprising.

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