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)

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)

Answer 1

Do you notice any trend from the table as you move from left to right?

Answer 2

yes for the X it increase by 10

Answer 3

That is correct. But I meant are both sets of numbers increasing x's and y's? Is one row increasing while the other is decreasing? Are both rows decreasing? Are both rows growing?

Answer 4

both is increasing

Answer 5

So if you add another worker to the factory, what will happen to the output?

Answer 6

it will continue to increase

Answer 7

So do you see any relation between the number of workers and output?

Answer 8

yes i do

Answer 9

Then that will be your answer to Part A.
Part B :

Answer 10

Do you have a graphing calculator?

Answer 11

no

Answer 12

You are at a disadvantage then, You can either go by hand to find a linear regression line of best fit, or you can use EXCEL.

Answer 13

is there a site i can use

Answer 14

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

Answer 15

okk thx

Answer 16

can we go to part C