Amanager 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 50 100 150 200 250 300 350 400
number of products(y) 100 1,100 2,100 3,100 4,100 5,100 6,100 7,100 8,100
part a: is there any correlation between the number of employees in the plant and the number of products produced yearly? justify your answer.
part b: write a function which best fits the data.
part c: what does the slope and y-intercept of the plot indicate?

If there is a corelation, we can draw a straight line through the data and match most of the points

we can see that every 50 it increasees, we add 1000
and at x=0, we have 100
so
the slope is 1000 for every 50, or 1000/50=20 and the y intercept (where x=0) is 100
y=20x+100 is the equation of the line of best fit




ok, now to answer the questions

a. yes, perfectly positive corelation because we can make a linear equation that passes through all the points exactly

b. y=20x+100

c. the slope of 20 means that every 1 new employee produces 20 products each year
the y intercept indicates that 0 employees makes 100 products (macines maybe? )