Suppose the following table shows the number of colds 7 different people got during the typical cold season based on the number of times they washed they washed their hands per day during the cold season. Calculate the correlation coefficient and interpret its meaning as applied to this problem. In addition, using a hypothesis test determine if the correlation coefficient is statistically different from 0 (i.e. )
# of Times
Wash Hands # of Colds
0 7
1 4
2 3
3 2
4 2
5 3
6 1