Which line best represents the line of best fit for this scatter plot?

Graph shows numbers from 0 to 10 at increments of 1 on the x axis and numbers from 0 to 18 at increments of 2. Scatter plot shows ordered pairs 1, 2 and 2, 6 and 3, 4 and 4, 10 and 5, 8 and 6, 8 and 7, 12 and 8, 10 and 9, 12 and 10, 14. A line labeled P joins ordered pair 0, 2.4 and 9, 18. A line labeled Q joins ordered pairs 0, 2.4 and 10, 18. A line labeled R joins ordered pairs 0, 2.4 and 10, 13.6. A line labeled S joins ordered pairs 0, 2.4 and 10, 10.

Line P
Line Q
Line R
Line S

The correct option is 2.

Step-by-step explanation:

The given data points are (0, 15), (1, 10), (2, 12), (3, 13), (4, 7), (5, 8), (6, 8), (7, 4), (8, 5), (9, 3), (10,0).

The general linear regression model is

        (1)

Using the graphing calculator, we get

a=-1.28181818..

b=14.1363636..

Put these values in equation (1).

At x=0,

At x=10,

It means the line of best fit passes through (0,14) and (10,1). Therefore the correct option is 2.

To write a mixed number as an improper fraction, first multiply the denominator by the whole number and add the numerator.

5 × 8 = 40

40 + 2 = 42

Lastly, put the new numerator over the original denominator which in this case was 5.

42/5