Give an example of variables that have correlation but no causation exists? Explain why these variables have correlation.

1.) Give an example of variables that have correlation but no causation exists? Explain why these variables have correlation. Could there be a lurking variable that these variables are both tied to/or do you think this correlation was caused by p-hacking? [2-3 sentence or a graph]

You may NOT use the ice cream/crime example AND you may not copy information verbatim from websites.

You may look at:

https://stats.stackexchange.com/questions/36/examples-for-teaching-correlation-does-not-mean-causation

for examples but you need to (at a minimum) put what you find in your own words and explain what the true cause of the relationship is. In the ice cream/crime example it was found that in a particular city that when ice cream consumption went up so did petty crime (stealing/larceny). The true cause was that it was summer and it was hot (and kids didn’t have school to keep them busy).

2.) How do we decide if the correlation coefficient is close enough to 1 to declare that there is correlation? [1 sentence]

3.) What is the problem with using a regression equation to predict what will happen in the distant future? [2 sentences]