Based on the scatter plot, which equation represents the line best fit for the data about cups of beads?

Option B. y = 1.81x + 44.36

Step-by-step explanation:

The graph represents a scatter plot with a positive correlations and has a positive y-intercept.

By drawing the best line to fit the data the y-intercept will be approximately at the midpoint of 45 and 50

We will check which option is true:

A. y = 4.25 x

The equation of option A represents a line pass through the point (0,0)

Which mean y-intercept is 0 and this is wrong.

B. y = 1.81x + 44.36

According to the best line to fit the data option B is true.

Also by substitution with x = 2

y = 1.81 * 2 +44.36 = 47.98  

which is near to the actual point on the graph (50)

C. y = 1.81 x  ⇒ Wrong ⇒ same explanation of option A

D. y = 4.25 x + 50  ⇒ Wrong

Because the y-intercept will be approximately at the midpoint of 45 and 50

So, The answer is option B. y = 1.81x + 44.36

d? maybe

step-by-step explanation:

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.