The data below represent the fraction of active chlorine in a chemical product as a function of time after manufacturing.

a. Construct a scatterplot of the data.
b. Fit the Mitcherlich law (see Problem 12.10) to these data. Discuss how you obtained the starting values.

Data  From Problen

c. Test for significance of regression.
d. Find approximate \(95 \%\) confidence intervals on the parameters \(\theta_{1}, \theta_{2}\), and \(\theta_{3}\). Is there evidence to support the claim that all three parameters are different from zero?
e. Analyze the residuals and comment on model adequacy.

Transcribed Image Text:

Available Chlorine, y 0.49, 0.49 0.48, 0.47, 0.48, 0.47 0.46, 0.46, 0.45, 0.43 Time, x 8 10 0.45, 0.43, 0.43 0.44, 0.43, 0.43 0.46, 0.45 0.42, 0.42, 0.43 0.41, 0.41, 0.40 0.42, 0.40, 0.40 0.41, 0.40, 0.41 0.41, 0.40 0.40, 0.40, 0.38 0.41, 0.40 0.40 0.41, 0.38 0.40, 0.40 0.39 0.39 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42