Question

Part A: What is the approximate y-intercept of the line of best fit and what does it represent?

Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice.

Answer 1

For the answer to the question above, 

First, we have to understand that a Y-intercept of a line is the point where a line’s graph intersects or crosses the Y-axis. In this case, we will need to look at the graph in order to find the Y-intercept. Looking at the graph I would say that the Y-intercept is (0,3.5).

For part B you can use the following:

y = m x + b 
y = (7/4) * 13 + 3 
26

I hope my answer helped you.

Answer 2

Answer:

Step-by-step explanation:

The line has y intercept as the value of y, when x=0

y intercept =3.5

Part B:

The graph passes through two points as (0,3.5) and (5,12)

Hence slope= change in y coordinate/change in x coordinate

=$\frac{(12-3.5)}{(5-0)} =1.7$

Hence regression line is

y =1.7x+3.5

When x=13

y = 1.7(13)+3.5

= 25.6