1. SUMS OF SQUARES (SS) Set 1 ______ Set 2____________ ---------------------------- -------------------------------- _ _ _ _ X X - X (X-X)2 X X - X (X-X)2 ---------------------------- -------------------------------- 2 -3 9 4 -1 1 3 -2 4 5 0 0 5 0 0 5 0 0 7 2 4 5 0 0 8 3 9 6 1 1 --- --- --- ---  X=35 SS=34  X=35 SS=2 _ _ X=5.00 X = 5.00

2. Problem of SS DEPENDENT ON SAMPLE SIZE 1 4 7 SS = 18 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 SS=18 MORE VARIABILITY IN THE FIRST ROW DIVIDE BY N-1

3. STANDARD SCORES Test 1 Test 2 100 100 99 44 98 43 96 40 95 39

4. Z SCORE _ X - X z = ---------- s 70 - 50 20 ------- = ---- = 2.00 10 10 X = 20 ; sd = 2.00 z score when raw = 17 17 - 20 ------- = -1.50 17 is 1.5 sd < mean 2

5. COMPARISONS _ _ X = 78 s = 6 X = 62 s = 4 82-78 73-62 ----- =.67 ----- = 2.75 6 4

6. CORRELATION Cog abil (X) Job Perf (Y) Zx Zy ZxZy 400 410 420 430 450 500 510 570 580 600 620 650 1.20 1.60 1.00 2.60 2.80 1.80 2.60 1.50 2.20 3.40 2.90 3.50 -1.24447 -1.13303 -1.02158 -.91014 -.68725 -.13002 -.01857.65010.76154.98443 1.20732 1.54166 -1.26420 -.78639 -1.50310.40813.64703 -.54749.40813 -.90584 -.06968 1.36374.76648 1.48319 1.57.89 1.54 -.37 -.44.07 -.01 -.59 -.05 1.34.93 2.29 _  (Z X Z Y )=7.16 Y = 2.26  (Z X Z Y ) / 11 =.6509

7. REGRESSION EQUATION Y’ = a + bX a = -.848; b =.006 IF SANDY’S CA = 520 PREDICTED JP = -.848 + (.006)*520 = -.848 + 3.12 = 2.27