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.

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

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

Answer 1

My Answer For Part A: Yes, The more number of workers, the more units of output.
That's all I got. And I think that's wrong.

Answer 2

@peachpi ..

Answer 3

yes there is a correlation. If you graph it on a calculator, you will see there is a positive correlation.
With the numbers in your calculator, you can run the LinReg to find the line of best fit.

Answer 4

LinReg?

Answer 5

do you have a graphing calculator?

Answer 6

i do not..

Answer 7

http://www.alcula.com/calculators/statistics/linear-regression/

Answer 8

did that come up with the numbers I put in?

Answer 9

Alright I'm making this too complicated. There's a way to use the calculator to find the equation of a line that you plotted.
But with the numbers this gives you, it is linear, which means you can find the slope yourself by doing (y2-y1)/(x2-x1)

Answer 10

i just used the calculator..wow that thing is so helpful, and so are you, thank youuu sooooo very much

Answer 11

you will learn how to use it more efficiently if you take statistics :). It's great to use

Answer 12

but wait..what about Part C?

Answer 13

the y-intercept is when x is at 0. if you used the calculator I sent you, you should have gotten the equation y=5x+2. also you can see from the data that when x is 0, y is 2. So 2 is the y-intercept, and the slope is 5.

That tells you that when there are 0 workers, there are 2 units of output

Answer 14

you put in y=5x+2 and not y=2x+5 right?. the site gives it backwards

Answer 15

yeah i accidently put in y=2x+5 instead of y=2+5x xD i got it though, thats right.
but Part C..i still dont get that part .-.

Answer 16

i think:
y= the number of units
slope= .....idk..

Answer 17

slope is: number of units/ number of workers
so if the slope is 5 then wouldn't that mean there are 5 units output for every worker?

Answer 18

but the slope is 2+5

Answer 19

er, thats what the website gave me.....y=2+5x

Answer 20

y=2+5x is the same as y=5x+2
y=mx+b is the slope intercept form where m=slope, so the slope would be 5

Answer 21

ohhhhhhhhhh, so then slope represents the number of unit outputs per worker..right?

Answer 22

yep!

Answer 23

too bad i can only give you 1 medal Dx you're a life saver!! thank you so much

Answer 24

haha np! glad I could help

Answer 25

i have 1 more question..er half of it since i answered the first part..up for it? @helpppppppppp

Answer 26

i'll try my best :)

Answer 27

cool ima post it separately though, ill tag you

Answer 28

ok