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Instructions: Solve the problem. Write your answer in the space provided below. Use separate sheet if necessary. 1. An article in Concrete Research ["Near Surface Characteristics of Concrete: Intrinsic Permeability" (Vol. 41, 1989)] presented data on compressive strength and intrinsic permeability of various concrete mixes and cures. Summary quantities are: 14 14 14 n = 14 VI = 572 = 23,530 X = 43 x = 157.42 IM xy = 1,697.80 Assume that the two variables are related according to the simple linear regression model. a) Calculate the least squares estimates of the slope and intercept. Estimate . b) Use the equation of the fitted line to predict what permeability would be observed when the compressive strength is = 4.3. c) Give a point estimate of the mean permeability when compressive strength is = 3.7. d) Suppose that the observed value of permeability at = 3.7 is = 46.1. Calculate the value of the corresponding residual