For loans at insured commercial banks, the Federal Financial Institutions Examination Council has reported the percentage of various kinds of loans that were at least 30 days in delinquency during each of the years shown in the table. The data are also listed in file XR17064. For y = percent of all insured commercial bank loans overdue, x1 = percent of consumer credit cards overdue, and x2 = percent of residential loans overdue, fit a first-order polynomial model to the data and interpret the partial regression coefficients and the R2 value. Add an interaction term to the model. To what extent has the addition of the interaction term improved the explanatory power of the model?

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Year All Loans Credit Cards Residential Loans 2000 2.1896 2001 2.61 2002 2.69 2003 2.33 2004 1.80 2005 .57 2006 1.57 2007 2.06 4.50% 4.86 4.87 4.47 4.11 3.70 4.01 4.25 2.11% 2.29 2.11 1.83 1.55 1.55 1.73 2.57