Answer:
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
<u>So, The answer is option B. y = 1.81x + 44.36</u>
