100 POINTS AND BRANLIEST A manager is assessing the correlation between the number of employees in a plant and the number of products produced monthly.

The table shows the data:
Number of employees (x)01020304050607080 Number of products (y)120200280360440520600680760

Part A: Is there any correlation between the number of employees in the plant and the number of products produced monthly? 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? (3 points)

A) 1 ; B) ŷ = 8X + 120

Step-by-step explanation:

Given the data:

No of employees (x) 0 10 20 30 40 50 60 70 80

No of products (y) 120 200 280 360 440 520 600 680 760

Using the online regression calculator :

A) the correlation Coefficient (r) between the two variables is 1. This implies that there is a perfectly strong positive correlation between the number of employees in the plant and the number of products produced monthly.

B) The function that best fits the data according to the regression calculator is : ŷ = 8X + 120

With 8 being the gradient and 120 being the intercept ( where line crosses the y - axis).

C.) the slope represents the rate at which number of product produced changes due to change in the number of employees. The intercept represents a constant amount which will be produced even if number of employees is zero.

1. yes

2. no

3. no

4. yes

Step-by-step explanation: