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Deskripsi Data Variabel X1, X2, Dan Y: Statistics

The document summarizes descriptive statistics for variables X1, X2, and Y. It includes measures of central tendency (mean, median, mode) and dispersion (standard deviation, variance, range) for each variable. Frequency tables are also provided showing the distribution of values for each variable divided into intervals. Chi-square tests were conducted to test for independence between the variables, finding that X1 and Y may not be independent while X2 and Y may not be independent.

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0% found this document useful (0 votes)
57 views11 pages

Deskripsi Data Variabel X1, X2, Dan Y: Statistics

The document summarizes descriptive statistics for variables X1, X2, and Y. It includes measures of central tendency (mean, median, mode) and dispersion (standard deviation, variance, range) for each variable. Frequency tables are also provided showing the distribution of values for each variable divided into intervals. Chi-square tests were conducted to test for independence between the variables, finding that X1 and Y may not be independent while X2 and Y may not be independent.

Uploaded by

atriyoso2
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOC, PDF, TXT or read online on Scribd
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Deskripsi Data Variabel X1, X2, dan Y

Statistics

Y X1 X2
N Valid 60 60 60
Missing 0 0 0
Mean 58.93 58.92 57.72
Std. Error of Mean .551 .523 .671
Median 60.00 60.00 58.50
Mode 61 60 58
Std. Deviation 4.270 4.048 5.201
Variance 18.233 16.383 27.054
Skewness -.748 -.812 -.609
Std. Error of Skewness .309 .309 .309
Kurtosis .392 .211 -.265
Std. Error of Kurtosis .608 .608 .608
Range 21 17 24
Minimum 47 48 44
Maximum 68 65 68
Sum 3536 3535 3463
Frekuensi Tabel Variabel Y

Cumulative
Frequency Percent Valid Percent Percent
Valid 47 1 1.7 1.7 1.7
48 1 1.7 1.7 3.3
51 2 3.3 3.3 6.7
52 2 3.3 3.3 10.0
54 3 5.0 5.0 15.0
55 4 6.7 6.7 21.7
56 5 8.3 8.3 30.0
58 4 6.7 6.7 36.7
59 5 8.3 8.3 45.0
60 7 11.7 11.7 56.7
61 8 13.3 13.3 70.0
62 6 10.0 10.0 80.0
63 7 11.7 11.7 91.7
64 3 5.0 5.0 96.7
65 1 1.7 1.7 98.3
68 1 1.7 1.7 100.0
Total 60 100.0 100.0

No. Interval Kelas Tepi Atas Tepi Bawah N Persentase (%)


1 47 – 50 50,5 46,5 2 3,33
2 51 – 54 54,5 50,5 7 11,67
3 55 – 58 58,5 54,5 13 21,67
4 59 – 62 62,5 58,5 26 43,33
5 63 – 66 66,5 62,5 11 18,33
6 67 – 70 70,5 66,5 1 1,67
Jumlah 60 100

50%
40%
30%
20% Y

10%
0%
47–50 51–54 55–58 59–62 63–66 67–70
Frekuensi Tabel Variabel X1

X1

Cumulative
Frequency Percent Valid Percent Percent
Valid 48 2 3.3 3.3 3.3
51 1 1.7 1.7 5.0
52 2 3.3 3.3 8.3
53 1 1.7 1.7 10.0
54 3 5.0 5.0 15.0
55 3 5.0 5.0 20.0
56 3 5.0 5.0 25.0
57 7 11.7 11.7 36.7
58 1 1.7 1.7 38.3
59 2 3.3 3.3 41.7
60 12 20.0 20.0 61.7
61 3 5.0 5.0 66.7
62 9 15.0 15.0 81.7
63 6 10.0 10.0 91.7
64 3 5.0 5.0 96.7
65 2 3.3 3.3 100.0
Total 60 100.0 100.0

No. Interval Kelas Tepi Atas Tepi Bawah N Persentase (%)


1 48 – 50 50,5 47,5 2 3.33%
2 51 – 53 53,5 50,5 4 6.67%
3 54 – 56 56,5 53,5 9 15%
4 57 – 59 59,5 56,5 10 16.67%

5 60 – 62 62,5 59,5 24 40%


6 63 – 65 65,5 62,5 11 18.33%
Jumlah 60 100

40%

30%

20%
X1
10%

0%
48–50 51–53 54–56 57–59 60–62 63–65
Frekuensi Tabel Variabel X2

X2

Cumulative
Frequency Perent Valid Percent Percent
Valid 44 1 1.7 1.7 1.7
47 1 1.7 1.7 3.3
48 2 3.3 3.3 6.7
49 1 1.7 1.7 8.3
50 1 1.7 1.7 10.0
51 3 5.0 5.0 15.0
52 4 6.7 6.7 21.7
53 1 1.7 1.7 23.3
54 1 1.7 1.7 25.0
55 3 5.0 5.0 30.0
56 4 6.7 6.7 36.7
58 8 13.3 13.3 50.0
59 3 5.0 5.0 55.0
60 5 8.3 8.3 63.3
61 6 10.0 10.0 73.3
62 5 8.3 8.3 81.7
63 6 10.0 10.0 91.7
64 3 5.0 5.0 96.7
65 1 1.7 1.7 98.3
68 1 1.7 1.7 100.0
Total 60 100.0 100.0

No. Interval Kelas Tepi Atas Tepi Bawah N Persentase (%)


1 44 – 47 47,5 43,5 2 3.33%
2 48 – 51 51,5 47,5 7 11.67%
3 52 – 55 55,5 53,5 9 15%
4 56 – 59 59,5 55,5 15 25%

5 60 – 63 63,5 59,5 22 36.67%


6 64 – 67 67,5 63,5 4 6.67%
7 68 – 71 71,5 67,5 1 1.67%
Jumlah 60 100

40%

30%

20%
X2
10%

0%
44–47 48–51 52–55 56–59 60–63 64–67 68–71
UJI Chi Square

Test Statistics

Y X1 X2
Chi-
22.667 39.733 28.667
Square(a,b)
df 15 15 19
Asymp. Sig. .091 .000 .071
a 16 cells (100.0%) have expected frequencies less than 5. The minimum expected cell
frequency is 3.8.
b 20 cells (100.0%) have expected frequencies less than 5. The minimum expected cell
frequency is 3.0.

Observed N Expected N Residual


47 1 3.8 -2.8
48 1 3.8 -2.8
51 2 3.8 -1.8
52 2 3.8 -1.8
54 3 3.8 -.8
55 4 3.8 .3
56 5 3.8 1.3
58 4 3.8 .3
59 5 3.8 1.3
60 7 3.8 3.3
61 8 3.8 4.3
62 6 3.8 2.3
63 7 3.8 3.3
64 3 3.8 -.8
65 1 3.8 -2.8
68 1 3.8 -2.8
Total 60

X1

Observed N Expected N Residual


48 2 3.8 -1.8
51 1 3.8 -2.8
52 2 3.8 -1.8
53 1 3.8 -2.8
54 3 3.8 -.8
55 3 3.8 -.8
56 3 3.8 -.8
57 7 3.8 3.3
58 1 3.8 -2.8
59 2 3.8 -1.8
60 12 3.8 8.3
61 3 3.8 -.8
62 9 3.8 5.3
63 6 3.8 2.3
64 3 3.8 -.8
65 2 3.8 -1.8
Total 60

X2

Observed N Expected N Residual


44 1 3.0 -2.0
47 1 3.0 -2.0
48 2 3.0 -1.0
49 1 3.0 -2.0
50 1 3.0 -2.0
51 3 3.0 .0
52 4 3.0 1.0
53 1 3.0 -2.0
54 1 3.0 -2.0
55 3 3.0 .0
56 4 3.0 1.0
58 8 3.0 5.0
59 3 3.0 .0
60 5 3.0 2.0
61 6 3.0 3.0
62 5 3.0 2.0
63 6 3.0 3.0
64 3 3.0 .0
65 1 3.0 -2.0
68 1 3.0 -2.0
Total 60
UjI Regresi Linear Y dan X1

Variables Entered/Removedb

Variables Variables
Model Entered Removed Method
1 X1a . Enter
a. All requested variables entered.
b. Dependent Variable: Y

Model Summary

Adjusted Std. Error of


Model R R Square R Square the Estimate
1 .833a .694 .689 2.381
a. Predictors: (Constant), X1

ANOVAb

Sum of
Model Squares df Mean Square F Sig.
1 Regression 746.892 1 746.892 131.735 .000a
Residual 328.841 58 5.670
Total 1075.733 59
a. Predictors: (Constant), X1
b. Dependent Variable: Y

Coefficientsa

Unstandardized Standardized
Coefficients Coefficients
Model B Std. Error Beta t Sig.
1 (Constant) 7.143 4.523 1.579 .120
X1 .879 .077 .833 11.478 .000
a. Dependent Variable: Y

Persamaan Regresi Y = 7.143 + 0.879X1


17
15
13
11
9
7
0 1 2 3 4 5 6 7 8 9

Y = 7.143 + 0.879X1
Uji Regresi Linear Y dan X2

Variables Entered/Removedb

Variables Variables
Model Entered Removed Method
1 X2a . Enter
a. All requested variables entered.
b. Dependent Variable: Y

Model Summary

Adjusted Std. Error of


Model R R Square R Square the Estimate
1 .911a .830 .827 1.775
a. Predictors: (Constant), X2

ANOVAb

Sum of
Model Squares df Mean Square F Sig.
1 Regression 892.954 1 892.954 283.354 .000a
Residual 182.780 58 3.151
Total 1075.733 59
a. Predictors: (Constant), X2
b. Dependent Variable: Y

Coefficientsa

Unstandardized Standardized
Coefficients Coefficients
Model B Std. Error Beta t Sig.
1 (Constant) 15.764 2.575 6.123 .000
X2 .748 .044 .911 16.833 .000
a. Dependent Variable: Y

Persamaan Regresi : Y = 15.764 + 0.748X2

25
23
21
19
17
15
0 1 2 3 4 5 6 7 8 9

Y = 15.764 + 0.748X2
Uji Regresi Berganda X1, X2 dan Y

Variables Entered/Removedb

Variables Variables
Model Entered Removed Method
1 X2, X1a . Enter
a. All requested variables entered.
b. Dependent Variable: Y

Model Summary

Adjusted Std. Error of


Model R R Square R Square the Estimate
1 .931a .866 .862 1.589
a. Predictors: (Constant), X2, X1

ANOVAb

Sum of
Model Squares df Mean Square F Sig.
1 Regression 931.826 2 465.913 184.543 .000a
Residual 143.907 57 2.525
Total 1075.733 59
a. Predictors: (Constant), X2, X1
b. Dependent Variable: Y

Coefficientsa

Unstandardized Standardized
Coefficients Coefficients
Model B Std. Error Beta t Sig.
1 (Constant) 8.105 3.020 2.684 .010
X1 .324 .083 .307 3.924 .000
X2 .550 .064 .670 8.559 .000
a. Dependent Variable: Y

Persamaan Regresi : Y = 8.105 + 0.324X1 + 0.550X2

18
16
14
12
10
8
0 1 2 3 4 5 6 7 8 9

Y = 8.105 + 0.324X1 + 0.550X2


Uji Korelasi Partial X1, X2, dan Y

Correlations

Control Variables Y X1
X2 Y Correlation 1.000 .461
Significance (2-tailed) . .000
df 0 57
X1 Correlation .461 1.000
Significance (2-tailed) .000 .
df 57 0

Correlations

Control Variables Y X2
X1 Y Correlation 1.000 .750
Significance (2-tailed) . .000
df 0 57
X2 Correlation .750 1.000
Significance (2-tailed) .000 .
df 57 0

Correlations

Control Variables X1 X2
Y X1 Correlation 1.000 .115
Significance (2-tailed) . .385
df 0 57
X2 Correlation .115 1.000
Significance (2-tailed) .385 .
df 57 0

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