You have a hot grill and an empty hamburger bun, but you have sworn off greasy hamburgers. Would a meatless hamburger do? The data for 12 brands of meatless hamburger were collected. Calories, fat, and sodium in these meatless hamburgers were used to predict taste score (between 0 and 100). The correlation between fat and calories is r = 0.828. How might this model be improved?

Question

You have a hot grill and an empty hamburger bun, but you have sworn off greasy hamburgers. Would a meatless hamburger do? The data for 12 brands of meatless hamburger were collected. Calories, fat, and sodium in these meatless hamburgers were used to predict taste score (between 0 and 100).  The correlation between fat and calories is r = 0.828.  How might this model be improved? 
Predictor Coef SE Coef t-value P-value
Constant 69.42 23.84 2.91 0.020
calories -0.5772 0.2727 -2.12 0.087
fat 8.359 3.263 2.56 0.034
sodium 0.05116 0.03792 1.35 0.214
Answer 
 
a.	Omit predictors that are not useful one-by-one, until we’re left with only useful predictors.
 
b.	Omit fat from the model. 
 
c.	Omit sodium and calories from the model.
 
d.	Add new predictor variables to the model.