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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 21PPS

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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

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