The following table presents monthly interest rates, in percent, for 30 year and- 15 year fixed-rate mortgages, for a recent year. 30 Year      15 year            30 year           15 year 3.92            3.20                 3.55                2.85 3.89            3.16                  3.60                2.86 3.95            3.20                  3.47                2.78 3.91            3.14                  3.38               2.69 3.80            3.03                  3.35               2.66 3.68            2.95                  3.35                2.66 a. Construct a scatter plot of the 15- year rate (y) versus the 30-year rate (x). b. Compute the correlation coefficient between 30-year and 15-year rates.

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The following table presents monthly interest rates, in percent, for 30 year and- 15 year fixed-rate mortgages, for a recent year.

30 Year      15 year            30 year           15 year

3.92            3.20                 3.55                2.85

3.89            3.16                  3.60                2.86

3.95            3.20                  3.47                2.78

3.91            3.14                  3.38               2.69

3.80            3.03                  3.35               2.66

3.68            2.95                  3.35                2.66

a. Construct a scatter plot of the 15- year rate (y) versus the 30-year rate (x).

b. Compute the correlation coefficient between 30-year and 15-year rates.

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