Statistical Analysis of Results

239
5
56
29
570
8
97
50
241
2
58
29
580
11
108
56
242
3
61
31
590
13
121
63
243
5
66
34
600
9
130
67
245
2
68
34
610
8
138
71
246
7
75
39
620
10
148
76
247
6
81
42
630
6
154
78
248
4
85
43
640
7
161
82
250
7
92
47
650
12
173
89
251
3
95
48
660
9
182
93
252
6
101
51
670
2
184
92
253
8
109
56
680
1
185
92
255
9
118
61
690
5
190
96
256
6
124
63
710
4
194
98
257
9
133
68
720
1
195
97
258
7
140
71
730
1
196
98
259
6
146
74
760
1
197
98
261
5
151
76
770
1
198
99
262
4
155
78
780
2
200
100
263
5
160
80
790
1
201
100
264
2
162
81
265
7
169
85
266
8
177
90
267
6
183
92
269
2
185
92
270
12
197
100
271
2
199
99
300
2
201
100
Data from Table 1 shows that 51% of the students scored below the Grade 11 Math Score of 252 indicating that half of the populations may be having difficulty with the subject. However we see from Table 2 that the median SAT Math Score of the students is 570. Since SAT scores range from 200-800, a score of 570 for Math may be considered as above average and meets the minimum requirement of some major public universities in the country. With this result, it is of further interest to see consider some factors which have effect on SAT scores.
The dataset contains 7 variables namely: Student Identifier Number, GPA, Track Rank, Grade 8 Science Assessment Score, Grade 8 Language Assessment Score, Grade 11 Math Assessment Score and Grade 11 SAT Score for Math. It is of interest to determine the how these variables affect each other.
Pearson’s correlation, often denoted as r, can be used to compute for the degree of relationship two variables have with each other. The closer the value is to 1, the more associated the two variables are. Values for the Pearson’s correlation coefficient may be either…
However we see from Table 2 that the median SAT Math Score of the students is 570. Since SAT scores range from 200-800, a score of 570 for Math may be considered as above average and meets the minimum requirement of some major public universities in the country. With this result, it is of further interest to see consider some factors which have effect on SAT scores.
The dataset contains 7 variables namely: Student Identifier Number, GPA, Track Rank, Grade 8 Science Assessment Score, Grade 8 Language Assessment Score, Grade 11 Math Assessment Score and Grade 11 SAT Score for Math. It is of interest to determine the how these variables affect each other.
Pearson’s correlation, often denoted as r, can be used to compute for the degree of relationship two variables have with each other. The closer the value is to 1, the more associated the two variables are. Values for the Pearson’s correlation coefficient may be either positive or negative. A negative value for Pearson’s correlation indicates that as the value of one variable goes up, the value for its associated variables goes down or vice versa. A positive value for Pearson’s correlation indicates that the values for both variables increase and decrease together. It is computed as follows:
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