Solutions for Scatter Plots Practice
Sandwich
Total
Total
Fat
Calories
(g)
Hamburger
9
260
Cheeseburger
13
320
Quarter Pounder
21
420
Quarter Pounder with
Cheese
30
530
Big Mac
31
560
Arch Sandwich Special
31
550
Arch Special with
Bacon
34
590
Crispy Chicken
25
500
Fish Fillet
28
560
Grilled Chicken
20
440
5
300
Grilled Chicken Light
A) Find the equation of a line of good fit for the scatter plot above.
The line of best fit is C(f) = 11.7f +194. Yours should be something like it.
B) Write a sentence that gives the meaning of the slope and the vertical intercept of the line.
For every one gram of additional fat, the calorie count increases 11.7 calories. A sandwich with
no fat contains 194 calories.
C) Use the equation found in part A to estimate:
i) the number of calories in a sandwich with 40 grams of fat.
C(40) = 11.7(40) + 194 = 662: A sandwich with 40 grams of fat has 662 calories.
ii) the number of grams of fat in a sandwich with 750 calories.
750 = 11.7f + 194
556 = 11.7t
Next, divide both sides by 11.7.
47.521 = f: There are about 47.5 or 48 calories in a sandwich with 750 calories.