Correlation coefficient.

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A linear regression gives us a correlation coefficient $r=0$.

  • What is the equation of the best fit line?

  • Give an example of data with $r=0$

  • What is the value of the correlation coefficient of data on a line parallel to the x-axis or y-axis?

I have no idea what the answers to any of these questions are. How can we answer this with just one piece of data?