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

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

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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.

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