Question: The following data indicate the relationship between x, the specific gravity of a wood sample, and Y , its maximum crushing strength in compression parallel

The following data indicate the relationship between x, the specific gravity of a wood sample, and Y , its maximum crushing strength in compression parallel to the grain.

Xi yi (psi) x; yi(psi) .41 1,850 .39 1,760 .46 2,620 .41

(a) Plot a scatter diagram. Does a linear relationship seem reasonable?

(b) Estimate the regression coefficients.

(c) Predict the maximum crushing strength of a wood sample whose specific gravity is .43.

Xi yi (psi) x; yi(psi) .41 1,850 .39 1,760 .46 2,620 .41 2,500 .44 2,340 .44 2,750 .47 2,690 .43 2,730 .42 2,160 .44 3,120

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