CORRELATION ANALYSIS Determine the relationship between the number of hours students spent per week on studying the lessons on the modules on Statistics and Probability and their obtained grades for the grading period. A random sample of 10 students is selected. The data obtained are shown in the table. Calculate the Pearson's sample correlation coefficient and interpret the result. Number of hours studying Student Grade (y) x² y² xy per week (x) 1 4 96 2 2 83 3 1 81 4 1 79 5 4 88 6 3 87 7 3 90 8 1 77 9 2 85 10 2 82 Computation: Ex= Σy= Ex²= Ey²= Exy=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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CORRELATION ANALYSIS
Determine the relationship between the number of hours students spent per week on studying the lessons on the
modules on Statistics and Probability and their obtained grades for the grading period. A random sample of 10 students
is selected. The data obtained are shown in the table. Calculate the Pearson's sample correlation coefficient and
interpret the result.
Number of
hours studying
Grade (y)
x²
y²
Student
xy
per week (x)
4
96
2
83
3
81
4
79
5
4
88
3
87
3
90
1
77
85
82
Exy=
Computation:
Interpretation:
6
8
9
10
Σχ=
2
2
Σy=
Ex²=
Ey²=
Transcribed Image Text:[ CORRELATION ANALYSIS Determine the relationship between the number of hours students spent per week on studying the lessons on the modules on Statistics and Probability and their obtained grades for the grading period. A random sample of 10 students is selected. The data obtained are shown in the table. Calculate the Pearson's sample correlation coefficient and interpret the result. Number of hours studying Grade (y) x² y² Student xy per week (x) 4 96 2 83 3 81 4 79 5 4 88 3 87 3 90 1 77 85 82 Exy= Computation: Interpretation: 6 8 9 10 Σχ= 2 2 Σy= Ex²= Ey²=
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