Chemical plant contamination. Refer to Exercise 12.18(p.

Chapter 12, Problem 28E

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QUESTION:

Chemical plant contamination. Refer to Exercise 12.18 (p. 683) and the U.S. Army Corps of Engineers study. You fit the first-order model, \(E(y)=\beta_0+\beta_1 x_1+\beta_2 x_2+\beta_3 x_3\),

to the data, where y =  DDT level (parts per million), \(x_1=\) number of miles upstream, \(x_2=\) length (centimeters), and \(x_3=\) weight (grams). Use the Excel/XLSTAT printout above to predict, with 90% confidence, the DDT level of a fish caught 300 miles upstream with a length of 40 centimeters and a weight of 1,000 grams. Interpret the result.

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QUESTION:

Chemical plant contamination. Refer to Exercise 12.18 (p. 683) and the U.S. Army Corps of Engineers study. You fit the first-order model, \(E(y)=\beta_0+\beta_1 x_1+\beta_2 x_2+\beta_3 x_3\),

to the data, where y =  DDT level (parts per million), \(x_1=\) number of miles upstream, \(x_2=\) length (centimeters), and \(x_3=\) weight (grams). Use the Excel/XLSTAT printout above to predict, with 90% confidence, the DDT level of a fish caught 300 miles upstream with a length of 40 centimeters and a weight of 1,000 grams. Interpret the result.

ANSWER:

Step 1 of 2

From the SPSS output, the 90% prediction interval for the DDT level is –143.2178 and 180.9784.

That is, the estimated DDT level 18.8803 of a fish caught 300 miles upstream with a length of 40 centimeters and a weight of 1,000 grams will lie between –143.2178 and 180.9784.

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