Predicting Calories Consumed Using the data in NutritionStudy, we show computer output for a model to predict calories consumed in a day based on fat grams consumed in a day, cholesterol con- sumed in mg per day, and age in years: The regression equation is Calories 513 +16.3 Fat +0.421 Cholesterol -1.42 Age
Predictor Constant Fat Cholesterol Age 512.95 16.2645 0.4208 -1.420 Coef SE Coef 86.51 0.7925 0.2015 1.304 5.93 0.000 20.52 0.000 2.09 0.038 1.09 0.277 S 33 1.904 R-Sq 76.4% R-Sq(adj)-76.2% Analysis of Variance Source Regression Residual Error Total DF MS 3 111082085 37027362 336.12 0.000 110161 311 34259921 314 145342006
(a) What daily calorie consumption does the model predict for a 35 year old person who eats 40 grams of fat in a day and 180 mg of cholesterol?
(b) In this model, which variable is least significant? Which is most significant?
(c) which predictors are significant at a 5% level?
(d) Interpret the coefficient of Fat in context.
(e) Interpret the coefficient of Age in context.
(f) Interpret what the ANOVA output says about the effectiveness of this model.
(g) Interpret R2 for this model.