A nutritionist collected data on 12 McDonald's menu items and recorded the fat content (in grams), carbohydrate content (in grams), and total calories for each item. The regression output is shown.
PredictorCoef SE Coef T P
Constant26.684 27.694 0.964 0.36
Fat (g)10.103 1.137 8.882 lt; 0.0001
Carbs (g)4.346 0.363 11.97 lt; 0.0001
AWrite the multiple regression equation that predicts calories from grams of fat and carbs.
BTwo McDonald's menu items, Item A and Item B, have the same carbohydrate content, and Item B has 11 grams more fat. Calculate the predicted difference in calories between the two items.
CWhat is the difference in predicted calories between Item A and Item B? What does this tell you about the coefficient for fat?
DUsing your answer to part (c), interpret the coefficient for fat in context.
EInterpret the coefficient for carbs in context.
Predictor | Coef | SE Coef | T | P | |
Constant | 26.684 | 27.694 | 0.964 | 0.36 | |
Fat (g) | 10.103 | 1.137 | 8.882 | lt; 0.0001 | |
Carbs (g) | 4.346 | 0.363 | 11.97 | lt; 0.0001 | |
AWrite the multiple regression equation that predicts calories from grams of fat and carbs.
BTwo McDonald's menu items, Item A and Item B, have the same carbohydrate content, and Item B has 11 grams more fat. Calculate the predicted difference in calories between the two items.
CWhat is the difference in predicted calories between Item A and Item B? What does this tell you about the coefficient for fat?
DUsing your answer to part (c), interpret the coefficient for fat in context.
EInterpret the coefficient for carbs in context.