2. Consider
Participant # Stress score (X) Life Satisfaction (Y)
1 11 7
2 25 1
3 19 4
4 7 9
5 23 2
6 6 8
7 11 8
8 22 3
9 25 3
10 10 6
(a) Use google spreadsheet to get a scatterplot of the data Y against X
(b) Make your best educated guess of the correlation r between X and Y from the scatterplot
(c) Find $\bar{x}$, the mean of the data set X
(d) Find $\sigma_x$, the population standard deviation (SD) of the data set X
(e) Find $\bar{y}$, the mean of the data set Y
(f) Find $\sigma_y$, the population standard deviation (SD) of the data set Y
(g) Find $\sum(x - \bar{x})(y - \bar{y})$
(h) Find
$$r = \frac{\sum(x - \bar{x})(y - \bar{y})}{n\sigma_x\sigma_y}$$