The table below shows the number of grams of carbohydrates, x, and

the number of Calories, y, of six different foods.

Carbohydrates (x) Calories (y)

8 120

9.5 138

10 147

6 88

7 108

4 62

Which equation best represents the line of best fit for this set of data?

(1) y = 15x (3) y = 0.1x - 0.4

(2) y = 0.07x (4) y = 14.1x + 5.8

Verified Answer :

equation that best represents the line of the best fit for this set of data is:
1) y = 15x


x               y       : I divided y by x
8             120    :  120/8 = 15
9.5          138    :   138/9.5 = 14.53 can be rounded up to 15
10           147    :  147/10 = 14.70 can be rounded up to 15
6              88      :  88/6 = 14.67 can be rounded up to 15
7            108    : 108/7 = 15.42 can be rounded down to 15
4              62    : 62/4 = 15.50 can be rounded down to 15

y = 15x

120.00
 = 
        15.00
          8.00


                   
142.50

 = 
        15.00
          9.50


                   
150.00

 = 
        15.00
        10.00


                     
  90.00 

= 
        15.00
          6.00


                   
105.00

 = 
        15.00
          7.00


                     
  60.00

 = 
        15.00
          4.00