Questions

1.   Think of what the square root operator does to positive real numbers. Which numbers does it shrink? Which ones does it expand? Does it shrink or expand some numbers more than others?
2.   Now consider the reciprocal transformation. How does it change the values?
3.   For each data set you analyze for this lab, tell which transformations give the strongest linear association.
4.   For each data set you analyze for this lab, explain why the transformations you identified in question 3 produce a stronger linear association. (Hint: think in terms of the ideas raised by questions 1 and 2.)