Name:                                              Score:

# Homework for Statistics Lesson 5

 `Answer Completely.` `Some calculations are required.` `Due Tue., July 19, 2005, 10:30:00.000, EDT.` `Due on the teacher's desk in BH114.`
1. (5 points) Complete the following table of x ranks, d, d2, xy, x2, and y2 values.

page 4 (x)Total (y)x ranky rankdd2 xy x2 y2
27 110   1         12100
20 107   2         11449
20 100   3         10000
16 96   4         9216
12 89   5         7921
11 78   6         6084
13 67   7         4489
7 66   8         4356
1 49   9         2401
--- --- ----- ---- ----- ----- ----
762:sums: 0       68016

2. (3 points) Complete the appropriate column sums for the table above.

3. Compute the Spearman rho correlation coefficient for the table above, showing your work.

4. Compute the Pearson product moment correlation coefficient for the table above, using the raw score formula, showing your work.

5. (5 bonus points) Compute the Pearson product moment correlation coefficient for the table above, using the deviation score formula, showing your work. A repeat of the table above is included for your convenience. The rank columns have been removed, the d and d2 and other columns have been relabeled so it can be used like Table 5.3.

page 4 (x)Total (y)dev xdev y dev xy (dev x)2 (dev y)2
27 110
20 107
20 100
16 96
12 89
11 78
13 67
7 66
1 49
--- --- ----- ----- ----
762:sums:

6. (2 bonus points) Compute the Pearson product moment correlation coefficient for the table above, using the covariance formula, showing your work.

BACK ODD SOLUTIONS ACTIVITY CONTINUE