A school educator is interested in determining the relationships between grade point average (GPA)
FREQUENCIES VARIABLES=IQ GPA
/STATISTICS=STDDEV VARIANCE RANGE MEAN MEDIAN MODE SKEWNESS SESKEW
/HISTOGRAM
/ORDER=ANALYSIS.
Frequencies
Statistics
IQ GPA
N Valid 40 40
Missing 0 0
Mean 85.1000 2.7300
Median 82.0000 2.8500
Mode 66.00 a 2.90
Std. Deviation 16.40169 .64815
Variance 269.015 .420
Skewness .374 .012
Std. Error of Skewness .374 .374
Range 52.00 2.20
a. Multiple modes exist. The smallest value is shown
Frequency Table
IQ
Frequency Percent Valid Percent
Cumulative
Percent
Valid 62.00 2 5.0 5.0 5.0
66.00 3 7.5 7.5 12.5
67.00 2 5.0 5.0 17.5
70.00 2 5.0 5.0 22.5
71.00 3 7.5 7.5 30.0
74.00 3 7.5 7.5 37.5
76.00 3 7.5 7.5 45.0
82.00 3 7.5 7.5 52.5
84.00 1 2.5 2.5 55.0
88.00 3 7.5 7.5 62.5
89.00 1 2.5 2.5 65.0
92.00 1 2.5 2.5 67.5
94.00 1 2.5 2.5 70.0
97.00 1 2.5 2.5 72.5
98.00 2 5.0 5.0 77.5
103.00 1 2.5 2.5 80.0
107.00 2 5.0 5.0 85.0
108.00 1 2.5 2.5 87.5
109.00 1 2.5 2.5 90.0
110.00 1 2.5 2.5 92.5
112.00 1 2.5 2.5 95.0
113.00 1 2.5 2.5 97.5
114.00 1 2.5 2.5 100.0
Total 40 100.0 100.0
GPA
Frequency Percent Valid Percent
Cumulative
Percent
Valid 1.70 2 5.0 5.0 5.0
1.80 2 5.0 5.0 10.0
1.90 2 5.0 5.0 15.0
2.00 4 10.0 10.0 25.0
2.10 1 2.5 2.5 27.5
2.20 1 2.5 2.5 30.0
2.40 2 5.0 5.0 35.0
2.50 2 5.0 5.0 40.0
2.60 1 2.5 2.5 42.5
2.80 3 7.5 7.5 50.0
2.90 6 15.0 15.0 65.0
3.00 1 2.5 2.5 67.5
3.10 2 5.0 5.0 72.5
3.20 1 2.5 2.5 75.0
3.30 3 7.5 7.5 82.5
3.40 1 2.5 2.5 85.0
3.50 2 5.0 5.0 90.0
3.60 1 2.5 2.5 92.5
3.80 1 2.5 2.5 95.0
3.90 2 5.0 5.0 100.0
Total 40 100.0 100.0
Histogram
CORRELATIONS
/VARIABLES=IQ GPA
/PRINT=TWOTAIL NOSIG
/STATISTICS DESCRIPTIVES
/MISSING=PAIRWISE.
Correlations
Descriptive Statistics
Mean Std. Deviation N
IQ 85.1000 16.40169 40
GPA 2.7300 .64815 40
Correlations
IQ GPA
IQ Pearson Correlation 1 .608 **
Sig. (2-tailed) .000
N 40 40
GPA Pearson Correlation .608 ** 1
Sig. (2-tailed) .000
N 40 40
**. Correlation is significant at the 0.01 level (2-tailed).
Scatterplot
REGRESSION
/MISSING LISTWISE
/STATISTICS COEFF OUTS R ANOVA
/CRITERIA=PIN(.05) POUT(.10)
/NOORIGIN
/DEPENDENT GPA
/METHOD=ENTER IQ
/RESIDUALS HISTOGRAM(ZRESID) NORMPROB(ZRESID).
Regression
Variables Entered/Removed b
Model Variables
Entered
Variables
Removed Method
d
i
m
e
n
s
i
o
n
0
1 IQ a . Enter
a. All requested variables entered.
b. Dependent Variable: GPA
Model Summary b
Model
R R Square
Adjusted R
Square
Std. Error of the
Estimate
d
i
m
e
n
s
i
o
n
0
1 .608 a .370 .353 .52132
a. Predictors: (Constant), IQ
b. Dependent Variable: GPA
ANOVA b
Model Sum of Squares df Mean Square F Sig.
1 Regression 6.057 1 6.057 22.286 .000 a
Residual 10.327 38 .272
Total 16.384 39
a. Predictors: (Constant), IQ
b. Dependent Variable: GPA
Coefficients a
Model
Unstandardized Coefficients
Standardized
Coefficients
t Sig. B Std. Error Beta
1 (Constant) .685 .441 1.554 .128
IQ .024 .005 .608 4.721 .000
a. Dependent Variable: GPA
Residuals Statistics a
Minimum Maximum Mean Std. Deviation N
Predicted Value 2.1750 3.4244 2.7300 .39408 40
Residual -1.33995 1.50878 .00000 .51459 40
Std. Predicted Value -1.408 1.762 .000 1.000 40
Std. Residual -2.570 2.894 .000 .987 40
a. Dependent Variable: GPA
Charts