Question

Using the line of best fit, what is the best approximation for the hourly rate of an individual with 6 years of experience?

A)
$10


B)
$11


C)
$12


D)
$13

Answer 1

The answer should be C) $12

Answer 2

Option: C is the correct answer.

C.) $ 12

Explanation:

Clearly from the scatter plot we could observe that the line of best fit passes through the point:

(0,6) and (4,10).

We know that the equation of a line passing through two point (a,b) and (c,d) is given by:

`y-b=(d-b)/(c-a)* (x-a)`

Here we have:

(a,b)=(0,6) and (c,d)=(4,10)

Hence, the equation of line of best fit is:

`y-6=(10-6)/(4-0)* (x-0)\\\\y-6=(4)/(4)* x\\\\y-6=x\\\\y=x+6`

Hence, the hourly rate of an individual with 6 years of experience is the value of y when x=6

when x=6 we have:

y=6+6

y=12

Hence, the hourly rate of an individual with 6 years of experience is:

$ 12