2. A “quick” step backwards

3. Blanched Formula
Good way to calculate r if the means and standard deviations are already provided.
It is very time consuming to calculate these statistics if they are not already provided
If means and standard deviations are not given, use the raw-score formula

4. Raw-Score Formula
r =

5. Step 1: Set up table

6. Step 2: Square Y

7. Step 3: Square X

8. Step 4: Multiply XY

9. Step 5: Sum

10. Step 6: Plug in values r = Y = 23 Y2 = 135 X = 15 X2 = 55
XY = N = 5

11. Step 6: Plug in values r = Y = 23 Y2 = 135 X = 15 X2 = 55
XY = N = 5

12. Step 6: Plug in values r = Y = 23 Y2 = 135 X = 15 X2 = 55
XY = N = 5

13. Step 6: Plug in values r = Y = 23 Y2 = 135 X = 15 X2 = 5584 15 23
r = 15 23
Y = Y2 = 135
X = X2 = 55
XY = N = 5

14. Step 6: Plug in values r = Y = 23 Y2 = 135 X = 15 X2 = 5584 15 23
r = 55 15 23
Y = Y2 = 135
X = X2 = 55
XY = N = 5

15. Step 6: Plug in values r = Y = 23 Y2 = 135 X = 15 X2 = 5584 15 23
r = 55
135 15 23
Y = Y2 = 135
X = X2 = 55
XY = N = 5

16. Step 6: Plug in values r = Y = 23 Y2 = 135 X = 15 X2 = 55
(5) 84 15 23
r =
(5) 55
(5)
135 15 23
Y = Y2 = 135
X = X2 = 55
XY = N = 5

17. Step 7: Solve! r = Y = 23 Y2 = 135 X = 15 X2 = 55 XY = 84 N = 5
(5) 84 15 23
r =
(5) 55
(5)
135 15 23
Y = Y2 = 135
X = X2 = 55
XY = N = 5

18. Step 7: Solve! r = Y = 23 Y2 = 135 X = 15 X2 = 55 XY = 84 N = 5
(5) 84 15 23
r =
(5) 55
(5)
135 23
225
529
225
Y = Y2 = 135
X = X2 = 55
XY = N = 5

19. Step 7: Solve! r = Y = 23 Y2 = 135 X = 15 X2 = 55 XY = 84 N = 5
420
345 23 23 15
r =
275 23
225
675
529
225
Y = Y2 = 135
X = X2 = 55
XY = N = 5

20. Step 7: Solve! r = Y = 23 Y2 = 135 X = 15 X2 = 55 XY = 84 N = 5
420
345 23 23 15
r = 50 23
146
225
Y = Y2 = 135
X = X2 = 55
XY = N = 5

21. Step 7: Solve! r = Y = 23 Y2 = 135 X = 15 X2 = 55 XY = 84 N = 575 23 23 15
r =
146 23
7300 50
225
Y = Y2 = 135
X = X2 = 55
XY = N = 5

22. Step 7: Solve! r = Y = 23 Y2 = 135 X = 15 X2 = 55 XY = 84 N = 575 23 23 15
r =
85.44
146 23
7300 50
225
Y = Y2 = 135
X = X2 = 55
XY = N = 5

23. Step 7: Solve! .88 = Y = 23 Y2 = 135 X = 15 X2 = 55 XY = 84 N = 575 23 23 15
.88 =
85.44
146 23
7300 50
225
Y = Y2 = 135
X = X2 = 55
XY = N = 5

24. Practice

25. Practice

26. Practice

27. Practice r = X = 20 X2 = 120 Y = 19 Y2 = 123 XY = 72 N = 4 (4) 72

28. Practice r = X = 20 X2 = 120 Y = 19 Y2 = 123 XY = 72 N = 4 -92 20
(4)
120
(4)
123 20 19
X = 20 X2 = 120
Y = 19 Y2 = 123
XY = 72 N = 4

29. Practice r = X = 20 X2 = 120 Y = 19 Y2 = 123 XY = 72 N = 4 -92 2080
131
X = 20 X2 = 120
Y = 19 Y2 = 123
XY = 72 N = 4

30. Practice -.90 = X = 20 X2 = 120 Y = 19 Y2 = 123 XY = 72 N = 4 -92
102.37 80
131
X = 20 X2 = 120
Y = 19 Y2 = 123
XY = 72 N = 4

31. Practice
Page # 21

32. Practice Interpret the following:
1) The correlation between vocational-interest scores at age 20 and at age 40 was .70.
2) Age and IQ is correlated -.16.
3) The correlation between IQ and family size is -.30.
4) The correlation between sexual promiscuity and dominance is .32.
5) In a sample of males happiness and height is correlated .11.

33. Practice
Page 97 # 5