Question: probability and statistics questions, please do it with clear steps and explanation. thank you Question 8 (12 marks): Interest rates (r) provide an excellent leading

probability and statistics questions, please do it with clear steps and explanation. thank you

probability and statistics questions, please do it with clear steps and explanation.

Question 8 (12 marks): Interest rates (r) provide an excellent leading indicator for predicting housing starts (y). As interest rates decline, housing starts increase, and vice versa. Suppose the data given in the accompanying table represent the prevailing interest rates on first mortgages and the recorded building permits in a certain region over a 12-year span. Year 1985 1986 1987 1988 1989 1990 Interest rates (%) 65 6.0 6.5 7.5 8.5 9.5 Building permits 2165 2984 2780 1940 1750 1535 Year 1991 1992 1993 1994 1995 1996 Interest rates (%) 10.0 90 7.5 9.0 11.5 15.0 Building permits 962 1310 2050 1695 856 510 (1) Find the least squares line to allow for the estimation of building permits from interest rates. (2) Calculate the correlation coefficient r for these data

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