Refer back to the previous two exercises that explore the association between number of letters in a name and the corresponding Scrabble score. Recall that the data file ScrabbleNames contains data on number of letters in students’ names and the corresponding Scrabble points, whereas the data file ScrabbleRatio contains Scrabble points for a student’s name and the corresponding ratio of Scrabble points to number of letters.
a. In which case is the linear association stronger: between the number of letters in a student’s name and the corresponding Scrabble points or between Scrabble points for a student’s name and the corresponding ratio? How are you deciding?
b. With regard to your finding in part (a), explain why that makes sense.