Question

What is the equation for the line of curve of best fit for the following data?

{(4, 32), (20, 808), (17, 662), (8, 125), (13, 307)}

Option 1. y = -240x + 50.5

Option 2. y = 50.5x - 240

Option 3. y = 2.2x^2 - 1.6x - 1.6

Option 4. y = -0.08x^4 + 3.7x^3 - 56.6x^2 + 361.5x - 726.9

Answer 1

Correct answer:
Option B. y = 50.5x - 240

If we plot these points on a graph, we will observe that these points mostly lie in a straight line. Therefore, a straight line will be the best fit for the given ordered pairs. The equation of the best fit can be found using any tool like Statistica, Stata or Excel. I have used Microsoft Excel to plot the lines and find the equation of best fit. The graph and equation are shown below in the image attached with: