A researcher studied 52 giant pandas at three different nature reserves (called

Question

A researcher studied 52 giant pandas at three different nature reserves (called "A", "B", and "C). She recorded their daily bamboo intake (in kg), sex, and height (in cm). After confirming all relevant assumptions and mean-centering the "height" variable, she ran a general linear model predicting bamboo intake with the following results: a. Calculate the t-statistics for the main effects and interaction terms in the model. Which effects are significant predictors of bamboo intake in this population of pandas? b. Interpret the estimate of Height (centered) in context. c. Interpret the estimate of Height *Sex_male in context. d. Are there significant differences in mean bamboo intake across the three different nature reserves? Summarize what you know given the above results, citing the appropriate statistics. e. How much bamboo would you predict a male panda that is 80 cm tall at the "B" nature reserve to consume each day?

Explanation / Answer

a. Test for significants of coefficients:

Based on p-values, we conclude that "Reserve_C" variable is only insignificant (its p-value>0.05), rest all variables are significant.

b. For 1 cm increase in height of pandas, there is expcted increase of 0.24 bamboos intake; also, For 10 cm increase in height of pandas, there is expcted increase of 2.4 bamboos intake

c. For a male panda 1 com increase in height increases bamboo intake by 2.337 (=2.36-0.023) units.

d. There is significant differnce between reserve A & B not C since p-value for Reserve_C >.05

e. predicted bamboo is =-7.1+80*.242+2.363*1 -1.972*1+0-.023*80= 10.81

Estimate SE t-stat p-value Intercept -7.101 2.189 -3.24395 0.001113 Height 0.242 0.052 4.653846 1.44E-05 Sex_male 2.363 0.419 5.639618 5.33E-07 Reserve_B -1.972 0.731 -2.69767 0.004897 Reserve_C 0.677 1.254 0.539872 0.295973 Height*Sex_male -0.023 0.011 -2.09091 0.021107

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