Question

Like many fast-food restaurant chains, Burger King provides information on the nutrition content of its menu items. This Excel file Burger King shows information for most Burger King menu items. The variables are Calories, Protein content (g), Total Fat (g), Carbohydrate (g), and Sodium (mg) per serving.

A triple whopper with cheese is not included in the Excel data file. Estimate the calories in a triple whopper with cheese if protein=73 g, total fat=84 g, carbohydrates=52 g, and sodium=5.1 mg per serving. (use 2 decimal places in your estimate).
Answer: 1259.15
QUESTION: The actual number of calories in a triple whopper with cheese is 1,250. What is the residual for a triple whopper with cheese?
Burger King menu item nutrition information
Calories Protein Total Fat Carbs Na S
680 29 39 53 3.3813
780 34 47 55 4.5875
920 48 57 53 2.8895
1020 53 65 55 3.8624
320 18 14 30 4.3089
370 20 18 31 5.5147
480 31 26 30 3.3721
570 35 34 32 5.1777
610 38 37 32 5.7073
710 24 38 67 4.5627
550 30 25 52 4.3023
450 14 27 37 4.5946
170 11 9 10 6.7742
360 4 18 46 5.8974
320 4 16 40 5.0549
230 7 13 22 10.2597
290 12 16 25 7.6136
340 2 14 52 4.1593
500 19 36 26 6.6667
300 6 15 35 9.6512
650 20 46 38 8.4656
510 13 35 35 9.084
390 6 20 46 3.9286
440 6 23 51 6.5741
240 2 15 23 6
440 12 8 79 0.8564
500 13 8 95 1.0353
500 12 8 95 0.8235
230 0 0 56 0
140 2 0 33 0
110 8 2.5 12 0.5123

Answer 1

Check the explanation

Explanation:

So multiple regression model is :

calories=
`6.53+3.84Protein+9.14Fat+3.94carbs-0.69sodium`

So the calories in a triple whopper with cheese if protein=73 g, total fat=84 g, carbohydrates=52 g, and sodium=5.1 mg per serving is

calories=
`6.53+3.84\cdot 73+9.14\cdot 84+3.94\cdot 52-0.69\cdot`5.1=1255.98

Residual is :

`actual\, value\,of \,number\,of\,calories-estimated\,value\,of\,number\,of\,calories`

`1250-1255.98\\=\textbf{-5.98}`