A school educator is interested in determining the relationships between grade point average (GPA)

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Week_2_SPSS_Output1.pdf

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

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