Question

What is the best equation for the line of best fit for the data set?

yˆ=−3x+15

yˆ=−13x+15

yˆ=−3x+2

yˆ=−13x+2

Answer 1

For this case, the first thing to do is to observe the cut points with the y axis and the x axis.
We have then that for the following equation:
y = -3x + 15
The cut points are:
Axis x:
0 = -3x + 15
3x = 15
x = 15
Axis y:
y = -3 (0) +15
y = 0 + 15
y = 15
Therefore, the line that best approximates the data is:
y = -3x + 15
Answer:
y = -3x + 15