Do problem 3.14, problem 5.5, problem 5.17 and problem 5.19

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Do problem 3.14, problem 5.5, problem 5.17 and problem 5.19

 

5. Problem[ 10 points] Data: Salinity. Temperature, Salinity, and Density affect growth and survival of Shrimps. 3 factors: “Temperature” (25 degree, 35 degree), “Salinity” (10%,25%, 40%), “Density” (80 shrimp/40 liters, 160/40 liters). Enter the data. Set up a data frame, named “shrimp”. (a) Check interaction of factors by plots. (b) Build a full linear model with interactions (including 2-way and 3-way interactions). Which factors (main and interactions) are significant. (c) Build a reduced model. (d) Find the combination of Temp, Density, Salinity which produces the shrimp largest weight gain (e) Perform residual check

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