Credit scores measure financial responsibility. Mean credit scores of Americans are shown in Table 55 for various age groups.

Let c = f (a) be the mean credit score (in points) of adults at a years of age.
a. Use technology to construct a scatterplot.
b. Describe the four characteristics of the association. Compute and interpret r as part of your analysis.
c. Graph the model f1a2 = 2.17a + 581.49 on the scatter- plot. Does it come close to the data points?
d. Find f(23.5). What does it mean in this situation? Did you perform interpolation or extrapolation? Find the error in your result.
e. The oldest verified American ever was Sarah Knauss, who died at age 119 years (Source: Associated Press). Use f to estimate Knauss€™s credit score. Did you perform interpolation or extrapolation? Do you have much faith in this estimate? Explain.

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Table 55 Mean Credit Scores of Americans Age Group years) 18-29 30-39 40-49 50-59 Age Used to Represent Age Group lyears) 23.5 34.5 44.5 54.5 64.5 75 Mean Credit Score points) 637 654 675 697 722 747 70 or more