Refer to the U.S. Army Corps of Engineers data on fish contaminated from the toxic discharges of a chemical plant located on the banks of the Tennessee River in Alabama, shown below. Recall that the engineers measured the length (in centimeters), weight (in grams), and DDT level (in parts per million) for 144 captured fish. In addition, the number of miles upstream from the river was recorded. The data are saved in the FISHDDT file.

a. Fit the first-order model E(y) = β0 + β1x1 + β2x2 + β3x3 to the data, where y = DDT level, x1 = mile, x2 = length, and x3 = weight. Report the least squares prediction equation.

b. Find the estimate of the standard deviation of e for the model, and give a practical interpretation of its value.

c. Do the data provide sufficient evidence to conclude that DDT level increases as length increases? Report the observed significance level of the test, and reach a conclusion. Use α = .05.

d. Find and interpret a 95% confidence interval for β3.

e. Test the overall adequacy of the model, using α = .05.

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River Mile Species FC FC FC FC FC 5 CHANNELCATFISH 5 CHANNELCATFISH 5 CHANNELCATFISH 5 CHANNELCATFISEH 5 CHANNELCATFISEH Length Weight DDT 10.00 16.00 547 23.00 465 21.00 1252 50.00 42.5 732 41.5 39.0 50.5 TR 345LARGEMOUTHBASS TR TR TR TR 345 LARG 856 2.00 2.20 23.5 30.0 29.0 17.5 36.0 358 345 LARGEMOUTHBASS 345 LARGEMOUTHBASS 345 LARGEMOUTHBASS EMOUTHBASS 793 173 1433 7.40 0.35 1.90