res in The data at the right shows the scores of five students in Statistics and Physics quizzes. Calculate the Stephanie Beverly Angel Regine 11 11 8. 10 12 correlation coefficient. 12 10 Kim 5 Solution: Steps Solution

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Please follow and copy the solution given in the example for the answer Thanks.

EXAMPLE
Student
Scores in Statistics (X)
Scores in Physics (Y)
The data at the right shows the scores
Stephanie
Beverly
Angel
Regine
Kim
11
11
of five students in Statistics and
7
8
Physics quizzes. Calculate the
10
12
correlation coefficient.
12
10
4
5
Solution:
Steps
1. Construct a table shown on the right side.
Solution
Student
X
Y
X2
y2
XY
Stephanie
Beverly
Angel
Regine
Kim
11
11
7
8
10
12
12
10
4
5
2. Complete the table. Square the entries in column X and
column Y, and put them under column X² and column Y²,
respectively. Multiply entries in the X and Y columns and
put them under XY column.
Student
X
Y
x2
XY
Stephanie
Beverly
Angel
Regine
Kim
11
11
121
121
121
7
8
49
64
56
10
12
100
144
120
12
10
144
100
120
5
16
25
20
3. Get the sum off all entries in each column.
x2
y2
Student
Y
XY
Stephanie
7
11
11
121
121
121
Beverly
Angel
Regine
Kim
8.
49
64
56
10
12
100
144
120
12
10
144
100
120
4
5
16
25
20
Total
44
46
430
454
437
Y
XY
η ΣΧΥ-ΣΧ ΣΥ
V[n EX2 – (E x)²][n£Y² – (E Y)²]
5(437) – (44)(46)
4. Substitute the values obtained from step 3 in the
r =
formula
ηΣΧΥ-Σχ. ΣΥ
r =
VIn Ex² – (E X)²][n£Y² – (EY)²]
V[5(430) – (44)?][5(454) – (46)²]
r = 0.87
Transcribed Image Text:EXAMPLE Student Scores in Statistics (X) Scores in Physics (Y) The data at the right shows the scores Stephanie Beverly Angel Regine Kim 11 11 of five students in Statistics and 7 8 Physics quizzes. Calculate the 10 12 correlation coefficient. 12 10 4 5 Solution: Steps 1. Construct a table shown on the right side. Solution Student X Y X2 y2 XY Stephanie Beverly Angel Regine Kim 11 11 7 8 10 12 12 10 4 5 2. Complete the table. Square the entries in column X and column Y, and put them under column X² and column Y², respectively. Multiply entries in the X and Y columns and put them under XY column. Student X Y x2 XY Stephanie Beverly Angel Regine Kim 11 11 121 121 121 7 8 49 64 56 10 12 100 144 120 12 10 144 100 120 5 16 25 20 3. Get the sum off all entries in each column. x2 y2 Student Y XY Stephanie 7 11 11 121 121 121 Beverly Angel Regine Kim 8. 49 64 56 10 12 100 144 120 12 10 144 100 120 4 5 16 25 20 Total 44 46 430 454 437 Y XY η ΣΧΥ-ΣΧ ΣΥ V[n EX2 – (E x)²][n£Y² – (E Y)²] 5(437) – (44)(46) 4. Substitute the values obtained from step 3 in the r = formula ηΣΧΥ-Σχ. ΣΥ r = VIn Ex² – (E X)²][n£Y² – (EY)²] V[5(430) – (44)?][5(454) – (46)²] r = 0.87
ACTIVITY. The following are the grades of 7 learners in Filipino and English. Compute the correlation coefficient.
Grade in Filipino (X)
Student
Grade in English (Y)
Arkin
90
89
Aljamer
Crisgel
Mihriam
88
88
88
90
96
94
Kerrold
92
94
Cherry
Regine
91
90
99
99
Transcribed Image Text:ACTIVITY. The following are the grades of 7 learners in Filipino and English. Compute the correlation coefficient. Grade in Filipino (X) Student Grade in English (Y) Arkin 90 89 Aljamer Crisgel Mihriam 88 88 88 90 96 94 Kerrold 92 94 Cherry Regine 91 90 99 99
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