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Valencia Kyla Chariz C. Statistic Project

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BESTLINK COLLEGE OF THE PHILIPPINES
1071 Barangay Kaligayahan, Quirino Highway, Novaliches Quezon City
COLLEGE OF ARTS SCIENCE AND ENGINEERING
“ Exploring the Relationship Between Student Attendance and Academic Achievement ’’
I.
II.
PROBLEM
Is there a significant relationship between student attendance and academic
achievement?
Hypotheses:
H0: There is no significant relationship between student attendance and academic
achievement.
H1: There is a significant relationship between student attendance and academic
achievement.
IV.
𝑑𝑓 = 𝑛 – 2
= 15 − 2
= 13
𝑟. 05 = 0.514
Decision Rule: If the computed 𝑟 value is greater than the 𝑟 tabular value, reject H0.
V.
Statistics:
III.
Level of Significance: 𝛼 = 0.05
𝒓=
X
100
100
100
100
100
100
90
100
80
80
90
80
95
100
95
1410
Y
95
75
80
96
75
96
88
80
94
80
92
86
94
94
94
1319
𝑵(∑𝒙𝒚) − (∑𝒙)(∑𝒚)
√[𝑵∑𝒙𝟐 − (∑𝒙)𝟐 ][𝑵∑𝒚𝟐 − (∑𝒚)𝟐 ]
XY
9500
7500
8000
9600
7500
9600
7920
8000
7520
6400
8280
6880
8930
9400
8930
123960
X2
10000
10000
10000
10000
10000
10000
8100
10000
6400
6400
8100
6400
9025
10000
9025
133450
Y2
9025
5625
6400
9216
5625
9216
7744
6400
8836
6400
8464
7396
8836
8836
8836
116855
BESTLINK COLLEGE OF THE PHILIPPINES
1071 Barangay Kaligayahan, Quirino Highway, Novaliches Quezon City
𝒓=
𝒓=
𝑵(∑𝒙𝒚) − (∑𝒙)(∑𝒚)
√[𝑵∑𝒙𝟐 − (∑𝒙)𝟐 ][𝑵∑𝒚𝟐 − (∑𝒚)𝟐 ]
𝟏𝟓(𝟏𝟐𝟑𝟗𝟔𝟎) − (𝟏𝟒𝟏𝟎)(𝟏𝟑𝟏𝟗)
√[𝟏𝟓(𝟏𝟑𝟑𝟒𝟓𝟎) − (𝟏𝟒𝟏𝟎)𝟐 ][𝟏𝟓(𝟏𝟏𝟔𝟖𝟓𝟓) − (𝟏𝟑𝟏𝟗)𝟐 ]
𝒓=
𝟏𝟖𝟓𝟗𝟒𝟎𝟎 − 𝟏𝟖𝟓𝟗𝟕𝟗𝟎)
√[𝟐𝟎𝟎𝟏𝟕𝟓𝟎 − 𝟏𝟗𝟖𝟖𝟏𝟎𝟎][𝟏𝟕𝟓𝟐𝟖𝟐𝟓 − 𝟏𝟕𝟑𝟗𝟕𝟔𝟏]
𝒓=
−𝟑𝟗𝟎
√[𝟏𝟑𝟔𝟓𝟎][𝟏𝟑𝟎𝟔𝟒]
𝒓=
−𝟑𝟗𝟎
√[𝟏𝟕𝟖𝟑𝟐𝟑𝟔𝟎𝟎]
𝒓=
−𝟑𝟗𝟎
𝟏𝟑𝟑𝟓𝟑. 𝟕𝟖𝟔
𝒓 = −𝟎. 𝟎𝟑𝟎
𝒓 = −𝟎. 𝟎𝟑𝟎 𝒐𝒓 𝒘𝒆𝒂𝒌 𝒅𝒐𝒘𝒏𝒉𝒊𝒍𝒍 𝒓𝒆𝒍𝒂𝒕𝒊𝒐𝒏𝒔𝒉𝒊𝒑
𝒄𝒗 = 𝟎. 𝟓𝟏𝟒
𝒓 < 𝒄𝒗 𝑯𝒐 𝒊𝒔 𝒂𝒄𝒄𝒆𝒑𝒕𝒆𝒅
VI.
Conclusions:
Since the computed value of 𝑟 which is -0.030 is less than the tabular value of 0.514
at 0.05 level of significance with 13 degrees of freedom. It indicates that we failed to
reject the null hypothesis. This means that there is no significant relationship between
student attendance and academic performance.
BESTLINK COLLEGE OF THE PHILIPPINES
1071 Barangay Kaligayahan, Quirino Highway, Novaliches Quezon City
Participants:
BESTLINK COLLEGE OF THE PHILIPPINES
1071 Barangay Kaligayahan, Quirino Highway, Novaliches Quezon City
BESTLINK COLLEGE OF THE PHILIPPINES
1071 Barangay Kaligayahan, Quirino Highway, Novaliches Quezon City
Researcher: Valencia, Kyla Chariz C.
Year & Section: Second Year - 21006
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