A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. The table 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 that best fits the data. (3 points) Part C: What does the slope and y-intercept of the plot indicate?

A)there is a strong positive correlation

B)A function that best fits the data is

C)Slope indicates the rate of change of Number of products per employee

y intercept indicates number of products when number of employees are 0

Step-by-step explanation:

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?

Mean of x values =

Mean of y values =

N =No. of observations= 9

R Calculation

So, there is a strong positive correlation

B: Write a function that best fits the data.

Regression Equation = ŷ = bx + a

So, a function that best fits the data is

C)What does the slope and y-intercept of the plot indicate?

Slope indicates the rate of change of Number of products per employee

y-intercept indicates the y-coordinate of a point where a line, curve, or surface intersects the y-axis.

So, y intercept indicates number of products when number of employees are 0 .

a² + b²= c²

24² + 7² = c²

c= 25