2. Correlation Coefficient
In order to find the correlation coefficient, the questionnaire scores variable x and listening scores variable y were calculated by using Product Moment
Correlation statistical procedure. The formula is: ∑ ∑ ∑
√[ ∑ ∑
][ ∑ ∑
]
To find the values needed in the formula, the data from variable x and y are put into a calculation table.
Table 4.7 Product Moment Calculation Table
N X
Y XY
X
2
Y
2
1 67
67.5 4522.5
4489 4556.25
2 70
68 4760
4900 4624
3 85
75 6375
7225 5625
4 89
92.5 8232.5
7921 8556.25
5 79
81.25 6418.75
6241 6601.563
6 65
83.75 5443.75
4225 7014.063
7 77
86.25 6641.25
5929 7439.063
8 76
90 6840
5776 8100
9 71
71.25 5058.75
5041 5076.563
10 78
76.25 5947.5
6084 5814.063
11 80
97.5 7800
6400 9506.25
12 83
81.25 6743.75
6889 6601.563
13 64
75 4800
4096 5625
14 77
86.25 6641.25
5929 7439.063
15 79
68.75 5431.25
6241 4726.563
16 78
93.75 7312.5
6084 8789.063
17 83
80 6640
6889 6400
18 70
85 5950
4900 7225
19 79
71.25 5628.75
6241 5076.563
20 86
86.25 7417.5
7396 7439.063
21 69
86.25 5951.25
4761 7439.063
22 77
90 6930
5929 8100
23 76
71.25 5415
5776 5076.563
24 81
72.5 5872.5
6561 5256.25
25 84
85 7140
7056 7225
N X
Y XY
X
2
Y
2
26 72
85 6120
5184 7225
27 73
80 5840
5329 6400
28 76
92.5 7030
5776 8556.25
29 80
72.5 5800
6400 5256.25
30 66
87.5 5775
4356 7656.25
∑ 2290
2439.25 186478.8 176024
200425.6
∑ ∑ ∑ √[ ∑
∑ ][ ∑
∑ ]
√[ ][
]
√[ ][ ]
√[ ][ ] √
From the calculation, the index value of correlation coefficient was found to
be 0.177. According to the table of correlation interpretations see Table 3.2, this
number is classified into the lowest class of 0.00 – 0.20, which means that there is
a very low correlation between the two variables.
3. Hypotheses Testing
To test the hypotheses, the correlation coefficient from the calculation will be compared to correlation coefficient from Product Moment table
. H or
the null hypothesis will be accepted if and rejected if
. To find ,
the degrees of freedom must be determined first:
Note: = degrees of freedom
N = number of cases respondents
nr = number of variables
After looking at the table see Appendix 8, the of a one-tailed test in the
level of significance of 5 and of 28 was found to be 0.306. The index value of
is far bigger than the index value of 0.177 which means that the null
hypothesis is accepted. In conclusion, there is no relationship between students’
movie-watching activity and their listening skill .
Figure 4.7 The Scatterplot of the Correlation
Kategori