The scores below are test scores for students in a Stat class over two tests, Test 1 and Test2.
Test 1
37 17 23 40 37 39 35 29 32 40 26 39 34
29 38 21 36 38 14 27 34 38 25 18 39 37
36 12 34 26
Test 2 (Paired data, first student scored 37, 28 on tests 1 and 2 respectively)
28 24 20 32 39 36 40 33 23 36 21 30 30
21 22 24 27 20 8 31 28 30 25 16 31 18
25 6 36 20

- (a)
- Plot the data, Test 2 versus Test 1.
- (b)
- Use the summary module to find the standard deviations of the two data sets. Do you think these data will exhibit the regression towards the mean
effect?
- (c)
- Use regression module to obtain the Wilcoxon fit. Do the data exhibit the regression towards the mean effect?