The percentages of Americans who have been diagnosed with diabetes are shown in Table 39 for various age groups.

Let y be the percentage of Americans at age x years who have been diagnosed with diabetes at some point in their lives.
a. Construct a scatterplot.
b. Find the linear regression equation.
c. The equation of the line that contains the data points (37, 2) and (47, 5) is = 0.3x - 9.1. Graph the equation and the regression equation on the same scatterplot. Describe how well each line fits the data points.
d. Find the sum of squared residuals for the line = 0.3x - 9.1.
e. Find the sum of squared residuals for the regression line.
f. Compare the results you found in parts (d) and (e) and explain why your comparison is not surprising.

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Table 39 Percentages of Americans Diagnosed with Diabetes by Age Group Age Group (years) 35 39 40-44 45-49 50-54 55 59 Age Used to Represent Age Group (years) 37 42 47 52 57 Percent 10