Question

1. At a certain company, the human resources department surveyed employee satisfaction. They collected the following data.

(a) How would you characterize the relationship between salary and employee satisfaction scores? Explain.
(b) Hilda uses the function y = 0.0005x + 60 to model the situation. What score does the model predict for a salary of $65,000?
(c) What does the number 0.0005 in Part (b) mean in the context of the situation?

Answer 1

Question (a)
The relationship between satisfaction score and salary is a positive one. The graph shows a positive correlation. It means, the higher the salary, the higher the satisfaction score

Question (b)
We will substitute the value of
`x=65000` into the equation
`y=0.0005x+60 = 0.0005(65000)+60=92.5`

Question (c)
The constant 0.0005 is the increase of satisfactory score by 0.0005 for every pound increase in the salary