Please answer all parts of the questions and show full work

1. 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: Estimate Standard Error Intercept 7.101 2.189 Height (centered) 0.242 0.052 Sex male 2.363 0.419 Reserve B -1.872 0.731 Reserve C 0.677 1.254 Height* Sex male -0.023 0.011 Adjusted R2 = .271 Model df = 45 a. Calculate the f-statistics for the main effects and interaction terms in the model. List the effects (main effects and/ or interaction) are significant predictors of bamboo intake in this population of pandas. Given: critical value = 2.02 (4pt) b. Interpret the estimate of Height (centered) in context. (2pt) c. Interpret the estimate of Height*Sex_male in context. (2pt) d. Are there significant differences in mean bamboo intake across the three different nature reserves, while accounting for sex and height? Summarize what you know given the above results with full concluding statments, citing the appropriate statistics. (3pt)