42. Must show all your work step by step in order to receive full credit; Excel is not allowed. Given that the sample size is four. Use the information below to answer the following questions (a-e):...

42. Must show all your work step by step in order to receive full credit; Excel is not allowed. Given that the sample size is four. Use the information below to answer the following questions (a-e): ?x=10 ?x^2=30 ?Y=10 ?XY=18 Find b_0 Find b_1 Interpret the meaning of b_1 Find the regression equation Predict the average value of Y for X=6 43. Use the following information to fill in the given table, then answer the following questions (a-g). There is believed to be a relationship between the prevailing 30-year fixed mortgage interest rate and the rate at which consumers default on their mortagage loans. A sample of eight pairs of values for X, mortgage interest rate, and Y, number of mortgage loan defaults per 1,000, is indicated as follows: X10.90%10.30%7.30%9.60%11.60%13.00%9.90%10.10% Y19.00%16.00%7.00%15.00%18.00%25.00%10.00%12.00% a) Compute the value of b_1 Compute the value of b_0 Interpret the meaning of b_1 Find the regression equation. Compute the Coefficient of determination. Predict the average value of Y for X= 6 Interpret the Coefficient of determination