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
0 10 20 30 40 50 60 70 80 90
Number of units 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. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What do the slope and y-intercept of the plot indicate? (3 points)

Answer 1

Answer: 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 )

Explanation: