Question

A student is assessing the correlation between the number of workers in a factory and the number of units produced daily. The table shows the data:
Number of workers
(x) 0 10 20 30 40 50 60 70 80 90
Number of units
(y) 2 52 102 152 202 252 302 352 402 452


Part A: Is there any correlation between the number of workers in a factory and the number of units produced daily? Justify your answer.

Part B: Write a function that best fits the data.

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

Answer 1

Part A: Yes there is. As the number of workers increases, so does the production.

Part B:    y = 5x + 2

Part C: The slope indicates that for every person there is 5 units being produced, and the y-intercept indicates that 2 units are being made every day, regardless of if there are no workers ( this, however is unrealistic but it is how the data is )