Caterpillars go through free growth periods during each stage of their life. However, these periods end...

  

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Caterpillars go through free growth periods during each stage of their life. However, these periods end as the animal prepares to molt and then moves into the next stage of life. A biologist is interested in checking to see whether two different regression lines are needed to model the relationship between metabolic rates and body size of caterpillars for free growth and no free growth periods. a. Identify the multiple regression model for predicting metabolic rate (Mrate) from size (BodySize) and an indicator variable for free growth ( Ifgp 1 for free growth, 0 otherwise) that would allow for two different regression lines (slopes and/or intercepts) depending on free growth status. = b. Identify the multiple regression model for predicting Mrate from BodySize Ifgp, when the rate of change in the mean Mrate with respect to size and is the same during free growth and no free growth periods. c. Identify the full and reduced models that would be used in a nested F-test to check if one or two regression lines are needed to model metabolic rates. Caterpillars go through free growth periods during each stage of their life. However, these periods end as the animal prepares to molt and then moves into the next stage of life. A biologist is interested in checking to see whether two different regression lines are needed to model the relationship between metabolic rates and body size of caterpillars for free growth and no free growth periods. a. Identify the multiple regression model for predicting metabolic rate (Mrate) from size (BodySize) and an indicator variable for free growth ( Ifgp 1 for free growth, 0 otherwise) that would allow for two different regression lines (slopes and/or intercepts) depending on free growth status. = b. Identify the multiple regression model for predicting Mrate from BodySize Ifgp, when the rate of change in the mean Mrate with respect to size and is the same during free growth and no free growth periods. c. Identify the full and reduced models that would be used in a nested F-test to check if one or two regression lines are needed to model metabolic rates.