chrisGA
  • chrisGA
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)
Mathematics
katieb
  • katieb
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wmj259
  • wmj259
Do you notice any trend from the table as you move from left to right?
chrisGA
  • chrisGA
yes for the X it increase by 10
wmj259
  • wmj259
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?

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chrisGA
  • chrisGA
both is increasing
wmj259
  • wmj259
So if you add another worker to the factory, what will happen to the output?
chrisGA
  • chrisGA
it will continue to increase
wmj259
  • wmj259
So do you see any relation between the number of workers and output?
chrisGA
  • chrisGA
yes i do
wmj259
  • wmj259
Then that will be your answer to Part A. Part B :
wmj259
  • wmj259
Do you have a graphing calculator?
chrisGA
  • chrisGA
no
wmj259
  • wmj259
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.
chrisGA
  • chrisGA
is there a site i can use
wmj259
  • wmj259
http://www.alcula.com/calculators/statistics/linear-regression/
chrisGA
  • chrisGA
okk thx
chrisGA
  • chrisGA
can we go to part C

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