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You record the high temperature and the number of automobile accidents in a certain city each...

You record the high temperature and the number of automobile accidents in a certain city each day. You find the two variables have a significant positive linear correlation. You tell this to your friend (who has never taken a statistics course). Your friend then posts the following on social media: "Warning: My friend did a statistical study and found that higher temperatures cause more car accidents to happen." You have to explain to your friend that his/her statement may not be correct. Explain why your friend's statement may not be correct. How could your friend rewrite the statement to be a better interpretation of the results?

Math   Statistics-And-Probability   
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Answer #1

From the information, observe that there is a positive linear correlation between high temperature and number of automobile accidents.

Your friend conducts a statistical study and observes that higher temperature causes more car accidents to happen.

This statement is may not be correct because the accidents can depends on many factors and not only the high temperature.

It depends upon the speed of the automobile, Road Conditions etc..

That is, some inner variables will causes the accidents with help of high temperature and these inner variables are called lurking variables.

Hence, your fired concludes that the temperature increases then the automobile accidents will occur in high number with the help of speed, road conditions.

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