Using data from 55 communities in Baltimore on affordability index for mortgages (affordm15), and for rent (affordr15), a regression model was constructed to fit affordm15 based on affordr15. Below is the Minitab output. Any inference is performed at 1% significance.
a) Write the null and alternative to assess if there is a significant linear association between the two variables.
b) According to the F-test, is the null above rejected?
c) According to the t-test, is the null above rejected?
d) What is the estimated value of the slope?
e) Interpret the value of the coefficient of determination.
f) Estimate the coefficient of correlation.

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Regression Analysis: affordm15 versus affordr15 Analysis of Variance Source Regression affordr15 Error Total Model Summary S R-sq 7.24199 15.98 % Coefficients Term Constant affordr15 DF Adj 88 1 1 Adj MS 528.7 528.69 528.7 528.69 53 2779.7 52.45 54 3308.3 R-sq(adj) 14.40% R-sq (pred) 10.71% Coef SE Coef 18.69 6.11 0.369 0.116 T-Value 3.06 3.17 Regression Equation. affordm15 = 18.69 +0.369 affordr15 F-Value P-Value 10.08 0.002 10.08 0.002 P-Value VIF 0.003 0.002 1.00