Participants Reading Comprehension
Scores Y
Student 5 57
Student 6 50
Student 7 93
Student 8 60
Student 9 83
Student 10 80
Student 11 73
Student 12 70
Student 13 93
Student 14 90
Student 15 67
Student 16 70
Student 17 57
Student 18 63
Student 19 60
Student 20 60
Student 21 40
Student 22 53
Student 23 67
Student 24 50
Student 25 70
Student 26 57
Student 27 75
Student 28 73
Student 29 63
Participants Reading Comprehension
Scores Y
Student 30 53
Student 31 75
To find out the statistical scores of the data above, the researcher used SPSS. The descriptions of the finding were described below:
Table 4.4 Reading Comprehension
Statistics
Reading N
Valid 31
Missing Mean
64.68 Median
63.00 Mode
53
a
Std. Deviation 13.862
Variance 192.159
Minimum 40
Maximum 93
a. Multiple modes exist. The smallest value is shown
From the calculation of SPSS above, the average score of reading comprehension is 64.68. The median score of reading comprehension is 63. The
mode or the score that show the most is 53, and 57. The highest score of reading comprehension is 93 and the lowest score is 40. The standard deviation is 13.862 with
variance 192.159
B. Data Analysis
Table 4.5 Data Analysis Table
Participants X
Y XY
X
2
Y
2
Student 1 66
40 2640
4356 1600
Student 2 77
57 4389
5929 3249
Student 3 69
53 3657
4761 2809
Student 4 88
53 4664
7744 2809
Student 5 88
57 5016
7744 3249
Student 6 71
50 3550
5041 2500
Student 7 76
93 7068
5776 8649
Student 8 80
60 4800
6400 3600
Student 9 80
83 6640
6400 6889
Student 10 83
80 6640
6889 6400
Student 11 76
73 5548
5776 5329
Student 12 80
70 5600
6400 4900
Student 13 97
93 9021
9409 8649
Student 14 71
90 6390
5041 8100
Student 15 76
67 5092
5776 4489
Student 16 85
70 5950
7225 4900
Student 17 71
57 4047
5041 3249
Student 18 76
63 4788
5776 3969
Student 19 60
60 3600
3600 3600
Student 20 71
60 4260
5041 3600
Student 21 77
40 3080
5929 1600
Student 22 57
53 3021
3249 2809
Student 23 76
67 5092
5776 4489
Participants X
Y XY
X
2
Y
2
Student 24 76
50 3800
5776 2500
Student 25 71
70 4970
5041 4900
Student 26 57
57 3249
3249 3249
Student 27 63
75 4725
3969 5625
Student 28 80
73 5840
6400 5329
Student 29 77
63 4851
5929 3969
Student 30 60
53 3180
3600 2809
Student 31 90
75 6750
8100 5625
N = 31 ∑X= 2325 ∑Y= 2005 ∑XY = 151918 ∑X
2
= 177143 ∑Y
2
= 135443
N = 31 ∑X=2325
∑Y=2005 ∑XY = 151918
∑X
2
=177143 ∑Y
2
=135443 �
= �
− �
2
– 2 �
2
– 2
= 31 . 151918
− 2325 2005 31 . 177143 − 2325
2 31 . 135443 − 2005 2
= 4709458
− 4661625 5491433 − 5405625 4198733 − 4020025
= 47833
85808 178708 =
47833 15334576064
= 47833
123832.86 = 0.386
To ensure the result of the calculation above, the researcher used SPSS program in order to know whether the result of calculation that the researcher did manually
was accurate. The description of the calculation of SPSS was described below:
Table 4.6 SPSS Correlation Table
Correlations
Grammar Reading
Grammar Pearson
Correlation 1
.386 Sig. 2-tailed
.032 N
31 31
Reading Pearson
Correlation .386
1 Sig. 2-tailed
.032 N
31 31
. Correlation is significant at the 0.05 level 2-tailed.
The results of both calculations manual and SPSS calculation are similar. The results showed that the value of r
xy
is 0.386. It means that there is no mistake in manual calculation process. In addition, the degree of freedom Df is 31-2=29. Then,
in table significant of 0.05 it is obtained 0.367. The next step is to find out the significant of the variables by using the
significant test formula:
� = �
�−2
1 − �
2
� = 0.386
31 − 2 1 − 0.149
� = 0.386 5.385
0.851 � =
2.079 0.923
� = 2.253
Based on the calculation above, the result is compared by t
table
in the significant of 5 and the degree of freedom Df = 31-2=29. From df, it is obtained t
table
of 5=2.045.
C. Data Interpretation
After the writer calculated using the formula of Product Moment, it shows that the correlation value is r
xy
= 0.386 and the degree of freedom Df = 29. In the table of significant shows if Df value is 29, the table of significant of 5 is 0.367.
The statistical hypotheses state: 1.
If r
o
the same as or higher than r
t
, the H
a
is accepted. It means there is a significant correlation between
the students’ grammar mastery and their reading comprehension at the 6
th
semester of Department of English Education of State Islamic University Jakarta on academic year 2015-2016.
2. If r
o
is lower than r
t
, the H
a
is rejected. It means there is no significant correlation between
the students’ grammar mastery and their reading comprehension at the 6
th
semester of Department of English Education of State Islamic University Jakarta on academic year 2015-2016.
Based on the score of r
xy
= 0.386, it indicates that r
xy
is higher than r
t
, in which 0.386 ˃ 0.367 and the score of t
observed
= 2.253 is compared by t
table
of 5=2.045, that
