Find the Pearson correlation coefficient for the following set of data using the computational formula from the tutorial. Are these sample data sufficient to reject H0: r = 0 for ? = 0.05, two-tailed? What proportion of the variance in Y is accounted for by its relation to X? Be sure to show your work.
1.. What is your value for r?
2. Is your calculated value for r sufficient to reject H0: r=0 for alpha =0.05, two tailed, and what is the critical value for r?
3. What proporation of the variance in Y is accounted for by its relation to X?
X Y
2 10
3 8
5 4
9 1
6 9
5 8
7 4
3 6
0 7
10 10