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:

http://prntscr.com/c0dnu8

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:

http://prntscr.com/c0dnu8

oswaldmurphy · Answer

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)

Part B: Write a function which best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate? (3 points)

THIS IS A TEST! PLEASE DO NOT GIVE ME A ANSWER! EXPLAIN AND HELP ME GET THE ANSWER!

oswaldmurphy · Answer

@agent0smith @Ms-Brains @sammixboo

evoker · Answer

There is a positive correlation, notice that as one increases so does the other.

evoker · Answer

For B that appears to be a linear model, I am leaning that way since it seems to be increasing by the same amount each time.

agent0smith · Answer

You just need to use a calculator. Linear regression. It'll give the r value for a), the function for b). Can't help you much there.

y-intercept: number of units of output for zero workers

slope: the increase in units of output, for every unit increase in workers

oswaldmurphy · Answer

You are like speaking another language. What do I do to my calculator?

agent0smith · Answer

I'd suggest googling "how to find correlation coefficient on [insert calculator here]" or just google linear regression for your calc.

oswaldmurphy · Answer

So then I put in x and y over and over again and do waht with the info?

evoker · Answer

The problem didn't ask for the specific correlation, I think just saying a general positive correlation is sufficient.

agent0smith · Answer

But you need to find the equation anyway (and most calcs give it when you find r, it's on the same screen on a TI 84)

agent0smith · Answer

Put x in List 1 (or something similar), y in list 2. You really need to google it, i've done that for a TI, you'll find specific steps.

oswaldmurphy · Answer

A: Yes, it goes up 50 per 10 workers, or 5 per worker.

B: f(x) = 5x + 2

C:

oswaldmurphy · Answer

Thats what I got
How do I get C?

agent0smith · Answer

I gave for c earlier 
"y-intercept: number of units of output for zero workers

slope: the increase in units of output, for every unit increase in workers"

oswaldmurphy · Answer

Ok sorry, thanks both of you!