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The question is as follows. 2. A researcher is interested in predicting housing starts (i.e., number of houses that have started construction). He is interested

The question is as follows.

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2. A researcher is interested in predicting housing starts (i.e., number of houses that have started construction). He is interested in the ability of interest rates, unemployment rate, and consumer price index (CPI) to predict housing starts. Use for following printouts to help him understand what the data are telling him/us. SUMMARY OUTPUT Regression Statistics Multiple R 0.90992844 R Square 0.82796976 Adjusted R Square 0.82259381 Standard Error 83.1178137 Observations 100 ANOVA df SS MS F gnificance F Regression 3 3192045.948 1064015 154.0138 1.46E-36 Residual 96 663222.8122 6908.571 Total 99 3855268.76 Coefficients Standard Errol t Stat P-value Lower 95%Upper 95% Intercept 2194.44843 96.15395588 22.82224 1.47E-40 2003.584 2385.313 Interest Rate (%) -324.550287 17.98993144 -18.0407 1.33E-32 -360.26 -288.841 Unemployment Rate (%) -78.7542784 7.655561477 -10.2872 3.6E-17 -93.9504 -63.5581 CPI 38.9507779 1.862905238 20.90862 1.63E-37 35.25294 42.64862 The Researcher also looks at the first 45 residuals (let's not worry about the rest to keep the exam length manageable).\fInterest Rate (%) employment Rate CP Interest Rate (%) 1 Unemployment Rate (%) 0.236257948 1 CPI 0.871616602 0.333363738 a. Please complete the (holy) eight steps of hypothesis testing to help the researcher understand what the data are telling him. (25 points) b. What is the 95% confidence interval for bl and what does it tell us in English? (5 points) c. What does b2 mean in English? (5 points) d. Is there a problem with influential cases? Why? (5 points) e. Is there a problem with collinearity? Why? (5 points)| f. What is the multiple R in this analysis and what does it tell us in English? (5 points)

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