Inferential Practice Problem 1&2

Data for Practice Problems Standard Test Scores

Name Gender Absences PE Math Writing Reading

Alex Boy 5 49 85 86 80

Anthony Boy 18 51 39 71 75

Douglas Boy 1 82 74 78 79

Jorge Boy 4 56 66 68 60

Joshua Boy 5 83 79 78 77

Luke Boy 0 94 89 84 84

Robert Boy 17 36 36 56 50

Rupert Boy 4 24 55 56 52

Seth Boy 0 61 92 89 83

Wayne Boy 1 65 92 96 91

Blair Girl 3

94 59 66 90

Brooke Girl 2 75 35 43 46

Carmen Girl 0 49 91 91 90

Charlita Girl 16 23 49 55 49

Kim Girl 2 71 90 92 95

Li Girl 1 73 98 93 95

Rachel Girl 2 92 87 92 91

Sara Girl 3 33 87 93 94

Sheetal Girl 0 18 100 97 97

Tawayna Girl 14 31 65 55 63 Problem 1

a ) Name Nominal scale

Gender Ordinal scale

Absences Ratio scale

Physical Education (PE ) Ratio scale

Math Ratio scale

Writing Ratio scale

Reading Ratio scale

b ) The Pie Chart represents the number of students in class with respect to their gender

c ) Determinig Co-relation between Variables

Absences PE

Absences (x ) PE (y ) xy x2 y2

5 49 245 25 2401

18 51 918 324 2601

1 82 82 1 6724

4 56 224 16 3136

5 83 415 25 6889

0 94 0 0 8836

17 36 612 289 1296

4 24 96 16 576

0 61 0 0 3721

1 65 65 1 4225

3 94 282 9 8836

2 75 150 4 5625

0 49 0 0 2401

16 23 368 256 529

2 71 142 4 5041

1 73 73 1 5329

2 92 184 4 8464

3 33 99 9 1089

0 18 0 0 324

14 31 434 196 961

98 1160 4389 1180 79004

Sxx 1180 - (98 )2 / 20 699 .8

Sxy 4389 - (98 x 1160 / 20 -1295

Syy 79004 - (1160 )2 / 20 78888

r Sxy (Sxx x Syy )0 .5 -1295 (699 .8 x 7888 )0 .5 - 0 .551503

Math PE

PE (x ) Maths (y ) xy x2 y2

49 85 4165 2401 7225

51 39 1989 2601 1521

82 74 6068 6724 5476

56 66 3696 3136 4356

83 79 6557 6889 6241

94 89 8366 8836 7921

36 36 1296 1296 1296

24 55 1320 576 3025

61 92 5612 3721 8464

65 92 5980 4225 8464

94 59 5546 8836 3481

75 35 2625 5625 1225

49 91 4459 2401 8281

23 49 1127 529 2401

71 90 6390 5041 8100

73 98 7154 5329 9604

92 87 8004 8464 7569

33 87 2871 1089 7569

18 100 1800 324 10000

31 65 2015 961 4225

1160 1468 87040 79004 116444 Syy 116444 - (1468 )2 / 20 116297 .2

Sxy 87040 - (1468 x 1160 / 20 1896

Sxx 79004 - (1160 )2 / 20 78888

r Sxy (Sxx x Syy )0 .5 1896 (116297...