The salary of an employee with 6 years of experience, based on the line of best fit, is B. $ 58,587
First, find the slope of the line of best fit as:
= ( Y2 - Y1) / ( X2 - X1 )
= ( 57, 126 - 52, 000 ) / ( 5 - 0 )
= 1, 025.2
The y - intercept can be found by substituting the values of y, x, and the slope into the linear function of y = mx + c. The point to be used is (5, 57, 126) :
57, 126 = 1, 025.2 ( 5 ) + c
c = 52, 000
The line of best fit is:
y = 1, 025.2x + 52, 000
If an employee with 6 years experience, their salary would be:
= 1, 025.2x + 52, 000
= 1, 025.2 (6 ) + 52, 000
= $ 58,587
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