An article in Concrete Research [Near Surface Characteristics of Concrete: Intrinsic
Chapter 11, Problem 11-1(choose chapter or problem)
An article in Concrete Research [Near Surface Characteristics of Concrete: Intrinsic Permeability (Vol. 41, 1989)] presented data on compressive strength x and intrinsic permeability y of various concrete mixes and cures. Summary quantities are n 14, gyi 572, gy2 i 23,530, g xi 43, g xi 2 (e) G157.42, and g xiyi 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 intercept. Estimate 2 . 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 4.3. (c) Give a point estimate of the mean permeability when compressive strength is x 3.7. (d) Suppose that the observed value of permeability at x 3.7 is y 46.1. Calculate the value of the corresponding residual.
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