Question: 4. The following data indicate the relationship between x, the specific gravity of a wood sample, and Y, its maximum crushing strength in compression parallel

4. 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) Xxi yi (psi) .41 1850 .39 1760 .46 2620

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) Xxi yi (psi) .41 1850 .39 1760 .46 2620 .41 2500 .44 2340 .44 2750 .47 2690 .43 2730 .42 2160 .44 3120

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