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anonymous

  • one year ago

Please HELP!!! Algebra!

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  1. anonymous
    • one year ago
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    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)

  2. anonymous
    • one year ago
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    @ganeshie8 @EclipsedStar @welshfella @LynFran @mathstudent55 @dan815

  3. anonymous
    • one year ago
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    @ganeshie8 @geny55 @dan815 @Michele_Laino @jim_thompson5910

  4. campbell_st
    • one year ago
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    well I think you need to plot the points as a 1st step

  5. campbell_st
    • one year ago
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    that way you can see the type and strength of the correlation

  6. anonymous
    • one year ago
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    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.

  7. campbell_st
    • one year ago
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    so part B is asking you to find the slope... pick 2 points and just find the slope...

  8. anonymous
    • one year ago
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    Ok, how about 20, 5 and 30, 10.

  9. campbell_st
    • one year ago
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    but I think part A should use a plot.... makes things easier to interpret

  10. campbell_st
    • one year ago
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    sure... they work... so what's the slope

  11. anonymous
    • one year ago
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    10 - 5 5 1 ------ = ---- or ---- 30 - 20 10 2

  12. campbell_st
    • one year ago
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    oops so the slope seems ok...

  13. anonymous
    • one year ago
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    I do?

  14. anonymous
    • one year ago
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    LOL, okay, I'm not sure what the slope represents, though.

  15. campbell_st
    • one year ago
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    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

  16. anonymous
    • one year ago
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    Ok, so, what about Part C. Isn't it BOTH correlation and causation?

  17. campbell_st
    • one year ago
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    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

  18. anonymous
    • one year ago
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    As far as I can tell, yes, there is definitely correlation.

  19. anonymous
    • one year ago
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    @campbell_st

  20. anonymous
    • one year ago
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    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)

  21. campbell_st
    • one year ago
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    I'd agree that there is correlation... you need to decide if there is causation.

  22. anonymous
    • one year ago
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    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.

  23. anonymous
    • one year ago
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    @campbell_st

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