Refer to the accompanying scatterplot (I listed the graph data points and critical values for correlation coefficients below)

1. do the data points seem to have a strong linear correlation?
2. Yes
3. No
4. What is the value of the correlation coefficient for all 10 data points?
5. Is there a linear correlation between x and y? Use alpha= 0.01
6. Yes because the correlation coefficient is not in the critical region
7. Yes because the correlation coefficient is in the critical region
8. No because the correlation coefficient is not in the critical region
9. No because the correlation coefficient is in the critical region
10. What is the correlation coefficient when the point (10,10) is excluded?
11. Is there a linear correlation between x and y? Use alpha=0.01
12. Yes because the correlation coefficient is not in the critical region
13. Yes because the correlation coefficient is in the critical region
14. No because the correlation coefficient is not in the critical region
15. No because the correlation coefficient is in the critical region
16. What do you conclude about the possible effect from a single pair of values?
17. The effect from a single pair of values can change the conclusion
18. A single pair of values does not change the conclusion

Graph Data points:

(1,1) (1,2) (1,3) (2,1) (2,2) (2,3) (3,1) (3,2) (3,3) (10,10)

Critical Values for the correlation coefficient

n alpha = .05 alpha = .01

4 0.95 0.99

5 0.878 0.959

6 0.811 0.917

7 0.754 0.875

8 0.707 0.834

9 0.666 0.798

10 0.632 0.765

11 0.602 0.735

12 0.576 0.708

13 0.553 0.684

14 0.532 0.661

15 0.514 0.641

16 0.497 0.623

17 0.482 0.606

18 0.468 0.59

19 0.456 0.575

20 0.444 0.561

25 0.396 0.505

30 0.361 0.463

35 0.335 0.43

40 0.312 0.402

45 0.294 0.378

50 0.279 0.361

60 0.254 0.33

70 0.236 0.305

80 0.22 0.286

90 0.207 0.269

100 0.196 0.256