Question

Need help ASAP! A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. The table below shows the data:
Number of employees

(x) 0 25 50 75 100 125 150 175 200

Number of products

(y) 10 160 310 460 610 760 910 1060 1210


Part A: Is there any correlation between the number of employees in the plant and the number of products produced yearly? Justify your answer. (4 points)


Part B: Write a function which best fits the data. (3 points)


Part C: What does the slope and y-intercept of the plot indicate? (3 points)

Answer 1

Answer:

A) So in the table, we can see that from one pair (x,y) to the next one, x-variable increase in 10 units and y-variable increase in 80 units. This is valid for all pairs (x,y), which mean that there is a linear relationship between these variables.

B)  Equation of a line in the slope y-intercept form: y = mx + b

y = 8x + 120

Slope (m) = y-variable increment / x-variable increment = 80/10 = 8

the coordintae (0, 120) indicates that 120 is the y-intercept (b) of the line

C) The y-intercept indicates the number of products produced monthly without employees. The slope indicates how much the production increase with a new employee.