The calculatd x value based on the line of best fit when y = 18 is x = 12
How to determine the x value when y = 18
From the question, we have the following parameters that can be used in our computation:
The scatter plot
Also, we have that the line of best fit passes through the points
(0, 4), (3, 6), (6, 8) and (12, 12)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
i.e. c = y-intercept
Using the points (0, 4), we have
c = 4
This means that
y = mx + 4
Using the point (3, 6), we have
3m + 4 = 6
3m = 2
Evaluate
m = 2/3
So, we have
y = 2/3x + 4
When y = 18, we have
2/3x + 4 = 18
2/3x = 14
Cross multiply
x = 3/2 * 14
Evaluate
x = 21
Hence, the value of x is 21
Question
A line of best fit was drawn to the plotted points in a data set below. Based on the line of best fit, for what x- value does y = 18?