Problem 2 (50 pts) An article in the Journal of the American Statistical Association [\"Markov Chain Monte Carlo Methods for Computing Bayes Factors: A Comparative Review\" (2001, Vol. 96, pp. 11221132)] analyzed the tabulated data on compressive strength parallel to the grain versus resinadjusted density for specimens of radiata pine. The data is available in the le \"pine.xlsx\". a. Fit a regression model relating compressive strength (3;) to density (:17). Using t-tests, test for an association between the predictor and response using a = 0.05. b. Calculate R2 for this model. Provide an interpretation of this quantity. c. Prepare a normal probability plot of the residuals and interpret this display. (1. Plot the residuals versus 3}. Does the assumption of constant variance seem to be satised? e. Based on the Whole analysis, is your conclusion to part (a) reliable? Briey discuss Why or Why not