You decide that you will determine whether or not there is a correlation between the dirtiness of hat?

A friend of yours is a rabid Yankees fan. On any day where the Yankees play a game, she wears a “lucky” hat which she believes will enhance the Yankees’ performance. The hat is filthy, unsightly, and pungent, since she insists that the hat cannot be washed – the more dirty the hat is, the more luck it brings. You know that you will never be able to convince your friend to stop wearing the hat – but you would very much like to convince her to wash it. You decide that you will determine whether or not there is a correlation between the dirtiness of hat and the performance of the Yankees. In order to do so, you must first provide operational definitions of your variables. Explain why this is necessary. Then provide two operational definitions for each variable (dirtiness of the hat, performance of the Yankees), noting the strengths and weakness of each one. These should be discussed in terms of construct validity. Keep in mind that both variables must be score variables, so you need operational definitions that allow you to render them numerically. If a positive correlation were found, would that confirm your friend’s hypothesis that the dirtiness of the hat is a positive predictor of the Yankees’ performance? Discuss the reasons that a study of this kind might confront serious difficulties.