Question

Using the data below, what is the equation for the line of best fit? Remember, put your answer in y = ax + b form and round any decimals to three places.

Patient

Calories

Wt. loss/week lbs.

1 1500 2
2 1200 3
3 1800 1
4 2100 .5
5 2400 .75
6 1800 1
7 1200 5
8 2100 1
9 2400 .5
10 1500 2

Answer 1

we are using a tool that determines the best fit line of the data points given. best fit line is projected to have the minimum standard deviation from the points.
Using the tool, the results are

Best-fit values
Slope-0.002667 ± 0.0006013
Y-intercept6.475 ± 1.112
X-intercept2428
1/Slope-375.0

Translating these results,

y = -0.00266 x + 6.475