Data from the U.S. Federal Reserve Board on the percentage of
disposable personal income required to meet consumer loan payments
and mortgage payments for selected years are shown in the following
table. What is the value of the correlation coefficient for this
data set? (Give the answer to four decimal places.)
r =
Consumer Debt |
Household Debt |
Consumer Debt |
Household Debt |
7.89 | 6.22 | 6.25 | 5.73 |
7.90 | 6.14 | 6.09 | 5.95 |
7.65 | 5.96 | 6.32 | 6.09 |
7.60 | 5.84 | 6.98 | 6.28 |
7.48 | 5.82 | 7.37 | 6.09 |
7.50 | 5.86 | 7.52 | 5.78 |
7.36 | 5.80 | 7.85 | 5.82 |
6.57 | 5.80 |
The regression output is:
r² | 0.015 | |||||
r | 0.1217 | |||||
Std. Error | 0.181 | |||||
n | 15 | |||||
k | 1 | |||||
Dep. Var. | Debt | |||||
ANOVA table | ||||||
Source | SS | df | MS | F | p-value | |
Regression | 0.0064 | 1 | 0.0064 | 0.20 | .6657 | |
Residual | 0.4268 | 13 | 0.0328 | |||
Total | 0.4332 | 14 | ||||
Regression output | confidence interval | |||||
variables | coefficients | std. error | t (df=13) | p-value | 95% lower | 95% upper |
Intercept | 5.6969 | |||||
Debt | 0.0344 | 0.0778 | 0.442 | .6657 | -0.1337 | 0.2025 |
r = 0.1217
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