A regression of y = calcium content (g/L) on x = dissolved material (mg/cm 2 ) was

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A regression of y = calcium content (g/L) on x = dissolved material (mg/cm2) was reported in the article “Use of Fly Ash or Silica Fume to Increase the Resistance of Concrete to Feed Acids” (Mag. Concrete Res. 1997: 337–344). The equation of the estimated regression line was y = 3.678 + .144x, with R= .860, based on n = 23.

a. Interpret the estimated slope .144 and the coefficient of determination .860.
b. Calculate a point estimate of the true average calcium content when the amount of dissolved material is 50 mg/cm2.
c. The value of total sum of squares was SST = 320.398. Calculate an estimate of the error standard deviation σ in the simple linear regression model.

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Modern Mathematical Statistics With Applications

ISBN: 9783030551551

3rd Edition

Authors: Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton

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