The following table shows the methyl mercury intake and whole blood mercury valu

Question

The following table shows the methyl mercury intake and whole blood mercury values in 12 subjects exposed to methyl mercury through consumption of contaminated fish. Methyl Mercury Intake (mg Hg/da Mercury in whole blood (n 180 200 230 600 550 275 580 105 250 460 650 90 120 125 290 310 290 170 375 70 105 205 480 Find the regression equation describing the linear relationship between the two variables, compute the coefficient of determination, and test Ho: = 0 by both the F and t tests. Let = .05

Explanation / Answer

(a) The regression equation is y = -20.5791 + 0.6407

(b) R^2 = 0.883

(c) Since the p- value is close to 0, is significant by both F test and p test.

Regression Analysis r² 0.883 n   12 r   0.940 k   1 Std. Error   46.368 Dep. Var. y ANOVA table Source SS   df   MS F p-value Regression 162,391.6867 1   162,391.6867 75.53 5.66E-06 Residual 21,499.9800 10   2,149.9980 Total 183,891.6667 11   Regression output confidence interval variables coefficients std. error    t (df=10) p-value 95% lower 95% upper std. coeff. Intercept -20.5791 0.000 x 0.6407 0.0737 8.691 5.66E-06 0.4765 0.8050 0.940

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