Solution Found!
Chemical plant contamination. Refer to Exercise12.18 (p.
Chapter 12, Problem 93E(choose chapter or problem)
Chemical plant contamination. Refer to Exercise12.18 (p. 683) and the model relating the mean DDTlevel E(y) of contaminated fish to \(x_1\) = miles captured upstream, \(x_2\) = length, and \(x_3\) = weight. Now consider a model for E(y) as a function of both weight and species (channel catfish, largemouth bass, and smallmouth buffalo).
a. Set up the appropriate dummy variables for species.
b. Write the equation of a model that proposes parallel straight-line relationships between mean DDT levelE(y) and weight, one line for each species.
c. Write the equation of a model that proposes nonparallel straight-line relationships between mean DDT levelE(y) and weight, one line for each species.
d. Fit the model, part b, to the data saved in the file. Give The least squares prediction equation.
e. Refer to part d. Interpret the value of the least squares estimate of the beta coefficient multiplied by weight.
f. Fit the model, part c, to the data saved in the file. Give The least squares prediction equation.
g. Refer to part f. Find the estimated slope of the line relating DDT level (y) to weight for the channel catfish species.
Questions & Answers
QUESTION:
Chemical plant contamination. Refer to Exercise12.18 (p. 683) and the model relating the mean DDTlevel E(y) of contaminated fish to \(x_1\) = miles captured upstream, \(x_2\) = length, and \(x_3\) = weight. Now consider a model for E(y) as a function of both weight and species (channel catfish, largemouth bass, and smallmouth buffalo).
a. Set up the appropriate dummy variables for species.
b. Write the equation of a model that proposes parallel straight-line relationships between mean DDT levelE(y) and weight, one line for each species.
c. Write the equation of a model that proposes nonparallel straight-line relationships between mean DDT levelE(y) and weight, one line for each species.
d. Fit the model, part b, to the data saved in the file. Give The least squares prediction equation.
e. Refer to part d. Interpret the value of the least squares estimate of the beta coefficient multiplied by weight.
f. Fit the model, part c, to the data saved in the file. Give The least squares prediction equation.
g. Refer to part f. Find the estimated slope of the line relating DDT level (y) to weight for the channel catfish species.
ANSWER:Step 1 of 8
(a)
The model is considered as the function of weight and species (channel catfish, largemouth bass, and smallmouth buffalo). Thus, the dummy variable for the species is defined as given below: