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3. In the Department of Fisheries and Wildlife Conservation, an experiment was conducted to study the effect of stream characteristics on fish biomass. The
3. In the Department of Fisheries and Wildlife Conservation, an experiment was conducted to study the effect of stream characteristics on fish biomass. The regressor variables are as follows: average depth (of 50 cells), x; area of in-stream cover, X2; percent canopy cover (average of 12), x3; and area 25 centimeters in depth, x4. The response is y, the fish biomass. The data are as follows: Obs. X1 X2 X3 X4 y 1 14.3 15.0 12.2 48.0 100 2 19.1 29.4 26.0 152.2 388 3 54.6 58.0 24.2 469.7 755 4 28.8 42.6 26.1 485.9 1288 5 16.1 15.9 31.6 87.6 230 6 10.0 56.4 23.3 6.9 0 7 28.5 95.1 13.0 192.9 551 8 13.8 60.6 7.5 105.8 345 9 10.7 35.2 40.3 0.0 0 10 25.9 52.0 40.3 116.6 348 (a) Develop the multiple-regression equation and get it validated through 95% confidence estimate of the population slope between yield and each of the independent variables. (/5) (b) Use stepwise regression and best subset approaches, respectively, to further determine the best fitted regression model. (/5)
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