Answer Happy

5. a. An article in Concrete Research ("Near Surface Characteristics of Concrete: Intrinsic Permeability," Vol. 41, 2018), presented data on compressive strength x and intrinsic permeability y of various concrete mixes and cures. Summary quantities are n = 14, Eyi = 572, Σy = 23,250, Σά, = 43, {x} = 157.42, and Ex¡y; = 1697.80. Assume that the two variables are related according to the linear regression model i. Estimate the slope and intercept regression coefficients and subsequently fit a linear regression model. ii. [6 marks] Use the fitted model developed in Q5(b)part(i) to predict what permeability would be observed when the compressive strength is x = 3.7 [2 marks] Suppose that the actual value of permeability at x = 3.7 is y = 46.1. iii. Calculate the value of the corresponding residual. [2 marks]