An article in Concrete Research presented data on compressive strength x and intrinsic permeability y of various concrete mixes and cures. Summary quantities are n = 14, Σyi= 572, = 23,530, Σxi= 43,
= 157.42, and Σxiyi= 1697.80. Assume that the two variables are related according to the simple linear regression model. x = compressive strength and y = intrinsic permeability of concrete.
(a) Test for significance of regression using α = 0.05. Find the P-value for this test. Can you conclude that the model specifies a useful linear relationship between these two variables?
(b) Estimate σ2and the standard deviation of
(c) What is the standard error of the intercept in this model?
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