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Exercises 11-2 Simple Linear Regression 11-1. An article in Concrete Research ["Near Surface Charac- teristics of Concrete: Intrinsic Permeability" (1989, Vol. 41) ] pre- sented data on compressive strength x and intrinsic permeability y of various concrete mixes and cures. Summary quantities are n = 14, [ y; = 572, Ey? = 23,530, Ex; = 43, Ex? = 157.42, and Exy; = 1697.80. Assume that the two variables are related according to the simple linear regression model. (a) Calculate the least squares estimates of the slope and inter- cept. Estimate of . Graph the regression line. (b) Use the equation of the fitted line to predict what permeability would be observed when the compressive strength is x = 4.5. (c) Give a point estimate of the mean permeability when com- pressive strength is x = 3.3. (d) Suppose that the observed value of permeability at x = 3.3 is y = 45.6. Calculate the value of the corresponding residual