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LyraElizabethAdams Group Title

PLEASE HELP!!!! Please explain why this is FALSE: "5. Using data from Boston, Massachusetts, a test of independence is run on the claim that ice cream sales per month and the number of car wrecks per month are independent. The claim is rejected. Using number of car wrecks as the x variable and ice cream sales as the y variable, an r value of r=0.923 is then computed and shown to exceed the critical value for this data. The data is double checked and verified. This shows that car wrecks cause ice cream sales."

  • 2 years ago
  • 2 years ago

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  1. jim_thompson5910 Group Title
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    That r value is the key here

    • 2 years ago
  2. jim_thompson5910 Group Title
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    usually when it's this high (regardless of the critical value), it implies there's a strong correlation between the two variables

    • 2 years ago
  3. LyraElizabethAdams Group Title
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    Okay

    • 2 years ago
  4. LyraElizabethAdams Group Title
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    Oh, yes - I do remember learning that.

    • 2 years ago
  5. jim_thompson5910 Group Title
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    a strong correlation corresponds to the two variables being linked (one is independent and the other is dependent on that independent variable)

    • 2 years ago
  6. LyraElizabethAdams Group Title
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    Makes sense, so far.

    • 2 years ago
  7. jim_thompson5910 Group Title
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    so they can't be independent if they are linked like this

    • 2 years ago
  8. jim_thompson5910 Group Title
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    that's why the claim that they are independent is rejected

    • 2 years ago
  9. LyraElizabethAdams Group Title
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    Oh, I think I see what you're meaning - because the correlation (relationship) between "x" and "y" is so strong, both variables are dependent on each other, so it is not possible that they could be independent of each other?

    • 2 years ago
  10. jim_thompson5910 Group Title
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    that is close, it's more like "one variable dictates what the other variable is...so one variable is independent while the other depends on the first variable"

    • 2 years ago
  11. LyraElizabethAdams Group Title
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    Okay

    • 2 years ago
  12. jim_thompson5910 Group Title
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    but yes, they are linked in a way that they can't be independent of each other

    • 2 years ago
  13. LyraElizabethAdams Group Title
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    So, if the problem IS correct to have rejected the claim, what part of the problem is incorrect?

    • 2 years ago
  14. jim_thompson5910 Group Title
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    I'm not sure what you mean

    • 2 years ago
  15. jim_thompson5910 Group Title
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    oh i know what you're asking

    • 2 years ago
  16. LyraElizabethAdams Group Title
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    Well, the instructions for the problem say it is false. I'm supposed to explain why it's false.

    • 2 years ago
  17. jim_thompson5910 Group Title
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    this is a very dangerous part of statistics because students often confuse correlation and causation

    • 2 years ago
  18. jim_thompson5910 Group Title
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    this is very important not to mix the two

    • 2 years ago
  19. jim_thompson5910 Group Title
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    if two variables are strongly correlated with each other, it doesn't necessarily mean that one causes the other

    • 2 years ago
  20. LyraElizabethAdams Group Title
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    I should probably let you know that the last part of the problem says: NOTE: While this specific r-value is made up, this general pattern has been shown in several real world data sets involving ice cream sales and number of car wrecks in major cities on the east coast of the United States.

    • 2 years ago
  21. jim_thompson5910 Group Title
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    ie correlation does NOT imply causation

    • 2 years ago
  22. LyraElizabethAdams Group Title
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    I'm not sure if the NOTE is true or false (I don't know if my professor is saying that this part is false or true.

    • 2 years ago
  23. jim_thompson5910 Group Title
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    just because they both tend to decrease (for instance), doesn't mean that one causes the other to decrease as it decreases

    • 2 years ago
  24. jim_thompson5910 Group Title
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    does that make sense?

    • 2 years ago
  25. LyraElizabethAdams Group Title
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    Yes! Thank you so much! I really appreciate that you took your time to help me! :) I understand it.

    • 2 years ago
  26. jim_thompson5910 Group Title
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    you're welcome

    • 2 years ago
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spraguer (Moderator)
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is replying to Can someone tell me what button the professor is hitting...

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