Another way to analyze the data of Exercise 12.S.2 is to take each treatment mean as the observation V; then the data would be summarized as in the accompanying table.

(a) For the regression of mean yield on X, calculate the regression line and the residual standard deviation, and compare with the results of Exercise 12.S.2. Explain why the discrepancy is not surprising.
(b) What proportion of the variability in mean yield is explained by the linear relationship between mean yield and sulfur dioxide? Using the data in Exercise 12.S.2, what proportion of the variability in individual chamber yield is explained by the linear relationship between individual chamber yield and sulfur dioxide? Explain why the discrepancy is not surprising.

Transcribed Image Text:

Sulfur dioxide X' (ppm) Mean yield Y (kg) 0,00 0.06 0.12 0.30 0.1200 0.12961 1.34 132 1.11 0.70 1.1175 0.29714 Mean SD -0.98666 SS(resid) 0.007018