anonymous
  • anonymous
Please HELP!!! Algebra!
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
The table below shows the distance y, in miles, traveled by a toy car in x minutes: Time (x) (minutes) 20 30 40 50 Distance (y) (miles) 5 10 15 20 Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car. (4 points) [Choose the value of correlation coefficient from 1, 0.8, 0.5, 0.02] Part B: What is the value of the slope of the graph of distance versus time, and what does the slope represent? (3 points) Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)
anonymous
  • anonymous
@ganeshie8 @EclipsedStar @welshfella @LynFran @mathstudent55 @dan815
anonymous
  • anonymous
@ganeshie8 @geny55 @dan815 @Michele_Laino @jim_thompson5910

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campbell_st
  • campbell_st
well I think you need to plot the points as a 1st step
campbell_st
  • campbell_st
that way you can see the type and strength of the correlation
anonymous
  • anonymous
I have this so far: Part A: The most likely value of the correlation coefficient of the data in the table is 1. Based on the correlation coefficient, the relationship between time and distance traveled by the toy car is highly correlated, the higher the x-value, the higher the y-value and vice versa.
campbell_st
  • campbell_st
so part B is asking you to find the slope... pick 2 points and just find the slope...
anonymous
  • anonymous
Ok, how about 20, 5 and 30, 10.
campbell_st
  • campbell_st
but I think part A should use a plot.... makes things easier to interpret
campbell_st
  • campbell_st
sure... they work... so what's the slope
anonymous
  • anonymous
10 - 5 5 1 ------ = ---- or ---- 30 - 20 10 2
campbell_st
  • campbell_st
oops so the slope seems ok...
anonymous
  • anonymous
I do?
anonymous
  • anonymous
LOL, okay, I'm not sure what the slope represents, though.
campbell_st
  • campbell_st
the slope is the average rate of change in the data... in this question its the average speed of the car in miles per minute
anonymous
  • anonymous
Ok, so, what about Part C. Isn't it BOTH correlation and causation?
campbell_st
  • campbell_st
well causation is when the change in 1 variable cause the change in the other... so does the change in time cause the change is distance travelled..? here is a simple explanation http://www.abs.gov.au/websitedbs/a3121120.nsf/home/statistical+language+-+correlation+and+causation
anonymous
  • anonymous
As far as I can tell, yes, there is definitely correlation.
anonymous
  • anonymous
@campbell_st
anonymous
  • anonymous
Okay, here's what I have: art A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car. (4 points) [Choose the value of correlation coefficient from 1, 0.8, 0.5, 0.02] Part B: What is the value of the slope of the graph of distance versus time, and what does the slope represent? (3 points) Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)
campbell_st
  • campbell_st
I'd agree that there is correlation... you need to decide if there is causation.
anonymous
  • anonymous
Part A: The most likely value of the correlation coefficient of the data in the table is 1. Based on the correlation coefficient, the relationship between time and distance traveled by the toy car is highly correlated, the higher the x-value, the higher the y-value and vice versa. Part B: The slope of the graph of distance versus time is 1/2, this represents the average speed of the car in miles per minute. Part C: The data in the graph represents ONLY correlation but, NOT causation, the longer the time, the more the toy car travels. If one of the inputs was changed, let's say, x, then the output (y) would change, establishing correlation. Time does not cause the toy car to go further, it is speed, thus, there is no causation.
anonymous
  • anonymous
@campbell_st

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