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

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 class=

Answer :

jacksonopie
The answer should be C) $12

Answer:

Option: C is the correct answer.

C.)   $ 12

Step-by-step 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:

[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex]

Here we have:

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

Hence, the equation of line of best fit is:

[tex]y-6=\dfrac{10-6}{4-0}\times (x-0)\\\\y-6=\dfrac{4}{4}\times x\\\\y-6=x\\\\y=x+6[/tex]

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

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