1. A researcher suspects that there is a relationship between an individual’s creativity and their leadership ability. To test this hypothesis, she administers two scales, a creativity scale and a leadership scale, to a group of 12 volunteers. Both scales yield a score from 0 – 20, where higher scores indicate greater amounts of either creativity or leadership. The resulting scores are as follows:
Participant Creativity Score Leadership Score
1 9 6
2 12 14
3 17 14
4 12 18
5 5 9
6 15 18
7 18 17
8 13 8
9 14 13
10 7 5
a) Draw a scatter diagram for these data (5 pts.)
b) How strong is the relationship between creativity and leadership? Calculate the correlation coefficient for these data (20 pts.)
c) Clearly explain the meaning of rfor the above data. (5 pts.)
2.A researcher conducts a survey to determine the relationship between aptitude for mathematics and musical ability. She finds a strong relationship. High levels of mathematics aptitude are associated with low levels of musical ability. Given this information, draw representation of what the scatter diagram might look like for this study.