Predicting Calories Consumed Using the data in NutrtitionStudy, we show computer output for a model to predict calories consumed in a day based on fat grams consumed in a day, cholesterol consumed in mg per day, and age in years: The regression equation is Predictor Coef SE Coef T P Constant 512.95 86.51 5.93 0.000 Fat 16.2645 0.7925 20.52 0.000 Cholesterol 0.4208 0.2015 2.09 0.038 Age -1.420 1.304 -1.09 0.277 Analysis of Variance Source DF SS MS F P Regression 3 111082085 37027362 336.12 0.000 Residual Error 311 34259921 110161 Total 314 145342006 Click here for the dataset associated with this question. (a) What daily calorie consumption does the model predict for a 30 year old person who eats 47 grams of fat in a day and 182 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.