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 consumed in mg per day, and age in years:

(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.

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The regression equation is Calories = 513 + 16.3 Fat + 0.421 Cholesterol - 1.42 Age Predictor Coef SE Coef т Constant 512.95 86.51 5.93 0.000 0.7925 Fat 16.2645 20.52 0.000 0.4208 Cholesterol 0.2015 2.09 0.038 0.277 Age -1.420 1.304 -1.09 S = 331.904 R-Sq = 76.4% R-Sq(adj) = 76.2% %3D Analysis of Variance Source DF MS Regression Residual Error 3 111082085 37027362 336.12 0.000 34259921 311 110161 Total 314 145342006