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

Explanation:

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=65,000 into the equation

y=0.0005x+60=y=0.0005(65,000)+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

Answer 2

a] From the graph, there is strong correlation between the satisfaction score and salary, this is implied by the closeness of the points on the graph.
b] Given that Hilda use the function y=0.0005x +60 to model the relationship, the score for $65000 will be given as follows;
y=0.0005(65000)+60
y=92.5
The number 0.0005 shows the rate of change of job satisfaction with salary