1. A researcher is interested in predicting interest rates. She gathers data from 20 recent housing loans in her city. She records the interest rate, the FICO score, and the presence of a government program to help individuals afford their rst home (she dummy codes 1 as present and 0 as absent). a. Please perform the eight steps of hypothesis testing on this data to interest rates. Be sure to include an interpretation of what the results mean IN ENGLISH for this problem. (25 points). SUMMARY OUTPUT Regression Statistics Multiple R 0. 933290202 R Square 0.8710306 Adjusted R Square 0.85585773 Standard Error 0. 548130701 Observations 20 ANOVA df 55 MS F Significance F Regression 2 34.49561649 17.24781 57.40711 2.74876E-08 Residual 17 5.107603511 0.300447 Total 19 39.60322 Coeioients Standard Error tStot P-uaiue Lower95% Upper95% Intercept 16.39008061 0.812233142 20.17903 2.59E-13 14.67641847 18.10374 FICO Score 0013464358 0.001277164 -10.5424 7.1E-09 -0.01615894 -0.01077 Housing Program 0.383069537 0.259377634 1.47688 0.157993 -0. 16416944 0.930309 \f. Please explain what R and adjusted R2 tell us about model t AND what they mean for this problem. (10 points). . What do b1 and b2 mean in English? Be sure to explain what they mean in this analysis for this problem. (10 points). Is there a problem with collinearity in this data? Why? (5 points)