Question

A student is assessing the correlation between the number of workers in a factory and the number of units of output produced daily. The table below shows the data:


Number of workers
(x) 0 10 20 30 40 50 60 70 80 90
Number of units of output
(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 of output produced daily? Justify your answer. (4 points)

Answer 1

@kirbykirby

Answer 2

Do you have to calculate it, or just judge if it looks correlated or not?

Answer 3

Judge it I believe

Answer 4

Well the number of workers is increasing by 10, and at the same time, the # of units increases by 50 each time ... so both are increasing together , and they are increasing at the same rate

Answer 5

Oh ok, can you also check my answers?
Part B: Write a function which best fits the data.
f(x)= 5x + 2

Part C: What does the slope and y-intercept of the plot indicate?
The slope and y-intercept of the plot indicates that it is going up at a positive 5 slope.
The change in Y over the change in X.
The number of units of outputs per number of workers.

Answer 6

Also for part a, it would have a correlation though?

Answer 7

@kirbykirby

Answer 8

Yes, it would be very correlated.

Answer 9

part b is good

Answer 10

Okay, thank you for the help!

Answer 11

:) yw, but also for c), you might want to explain the slope and intercept in terms of what it means in the problem itself.. using the outputs and number of workers..

Answer 12

ok I will include it.