multiple_regression_tutorial

Data written to the working file.
17 variables and 180 cases written.
Variable: id                 Type: String  Format : A4
Variable: group              Type: String  Format : A8
Variable: time               Type: String  Format : A4
Variable: vo2_mlkgmin        Type: Number  Format : F4.1       One or more values were set to system-missing.
Variable: hr_rest_bpm        Type: Number  Format : F2         One or more values were set to system-missing.
Variable: sprint_20m_s       Type: Number  Format : F5.3       One or more values were set to system-missing.
Variable: strength_kg        Type: Number  Format : F5.1
Variable: agility_ttest_s    Type: Number  Format : F6.3       One or more values were set to system-missing.
Variable: rpe_6_20           Type: Number  Format : F2         One or more values were set to system-missing.
Variable: pain_0_10          Type: Number  Format : F1         One or more values were set to system-missing.
Variable: function_0_100     Type: Number  Format : F4.1       One or more values were set to system-missing.
Variable: balance_errors_count   Type: Number  Format : F2         One or more values were set to system-missing.
Variable: age_years          Type: Number  Format : F4.1
Variable: sex_category       Type: String  Format : A6
Variable: height_cm          Type: Number  Format : F5.1
Variable: mass_kg            Type: Number  Format : F5.1
Variable: training_age_years   Type: Number  Format : F5.2

Substitute the following to build syntax for these data.
  /VARIABLES=
   id A4
   group A8
   time A4
   vo2_mlkgmin F4.1
   hr_rest_bpm F2
   sprint_20m_s F5.3
   strength_kg F5.1
   agility_ttest_s F6.3
   rpe_6_20 F2
   pain_0_10 F1
   function_0_100 F4.1
   balance_errors_count F2
   age_years F4.1
   sex_category A6
   height_cm F5.1
   mass_kg F5.1
   training_age_years F5.2

NotesNotes, table, 0 levels of column headers and 2 levels of row headers, table with 3 columns and 12 rows
Output Created		02-MAR-2026 13:12:08
Comments
Input	Data	/Users/ovandef/webdev/github/sms/data/core_session.csv
	Active Dataset	DataSet1
	Filter	time = "pre" (FILTER)
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	60
Syntax		GRAPH /SCATTERPLOT(MATRIX) = sprint_20m_s vo2_mlkgmin strength_kg.
Resources	Processor Time	00:00:01.82
Resources	Elapsed Time	00:00:01.00

NotesNotes, table, 0 levels of column headers and 2 levels of row headers, table with 3 columns and 14 rows
Output Created		02-MAR-2026 13:12:10
Comments
Input	Data	/Users/ovandef/webdev/github/sms/data/core_session.csv
	Active Dataset	DataSet1
	Filter	time = "pre" (FILTER)
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	60
Missing Value Handling	Definition of Missing	User-defined missing values are treated as missing.
Missing Value Handling	Cases Used	Statistics for each pair of variables are based on all the cases with valid data for that pair.
Syntax		CORRELATIONS /VARIABLES=sprint_20m_s vo2_mlkgmin strength_kg /PRINT=TWOTAIL NOSIG /MISSING=PAIRWISE.
Resources	Processor Time	00:00:00.01
Resources	Elapsed Time	00:00:00.00

Correlations
		sprint_20m_s	vo2_mlkgmin	strength_kg
sprint_20m_s	Pearson Correlation	1	-.643^**	-.665^**
	Sig. (2-tailed)		<.001	<.001
	N	60	60	60
vo2_mlkgmin	Pearson Correlation	-.643^**	1	.603^**
	Sig. (2-tailed)	<.001		<.001
	N	60	60	60
strength_kg	Pearson Correlation	-.665^**	.603^**	1
	Sig. (2-tailed)	<.001	<.001
	N	60	60	60
**. Correlation is significant at the 0.01 level (2-tailed).

Pearson Correlations

██ Highly Positive: (None)

██ Positive: (vo2_mlkgmin <---> strength_kg)

██ No Linear Correlation: (None)

██ Negative: (sprint_20m_s <---> vo2_mlkgmin), (sprint_20m_s <---> strength_kg)

██ Highly Negative: (None)

Note: Curated Help is calculated based on actual cell values, not the formatted values.

NotesNotes, table, 0 levels of column headers and 2 levels of row headers, table with 3 columns and 20 rows
Output Created		02-MAR-2026 13:12:10
Comments
Input	Data	/Users/ovandef/webdev/github/sms/data/core_session.csv
	Active Dataset	DataSet1
	Filter	time = "pre" (FILTER)
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	60
Missing Value Handling	Definition of Missing	User-defined missing values are treated as missing.
Missing Value Handling	Cases Used	Statistics are based on cases with no missing values for any variable used.
Syntax		REGRESSION /DESCRIPTIVES MEAN STDDEV CORR SIG N /MISSING LISTWISE /STATISTICS COEFF OUTS CI(95) R ANOVA ZPP TOL /CRITERIA=PIN(.05) POUT(.10) /NOORIGIN /DEPENDENT sprint_20m_s /METHOD=ENTER vo2_mlkgmin strength_kg /SCATTERPLOT=(ZRESID ,ZPRED) /RESIDUALS NORMPROB /SAVE PRED ZPRED ZRESID COOK.
Resources	Processor Time	00:00:00.55
	Elapsed Time	00:00:00.00
	Memory Required	3504 bytes
	Additional Memory Required for Residual Plots	536 bytes
Variables Created or Modified	PRE_1	Unstandardized Predicted Value
	ZPR_1	Standardized Predicted Value
	ZRE_1	Standardized Residual
	COO_1	Cook's Distance

Descriptive Statistics
	Mean	Std. Deviation	N
sprint_20m_s	3.79138	.354344	60
vo2_mlkgmin	41.340	6.8174	60
strength_kg	78.005	12.9977	60

Correlations
	sprint_20m_s	vo2_mlkgmin	strength_kg
Pearson Correlation	sprint_20m_s	1.000	-.643	-.665
vo2_mlkgmin	-.643	1.000	.603
strength_kg	-.665	.603	1.000
Sig. (1-tailed)	sprint_20m_s	.	<.001	<.001
vo2_mlkgmin	.000	.	.000
strength_kg	.000	.000	.
N	sprint_20m_s	60	60	60
vo2_mlkgmin	60	60	60
strength_kg	60	60	60

Pearson Correlation

██ Highly Positive: (None)

██ Positive: (vo2_mlkgmin <---> strength_kg)

██ No Linear Correlation: (None)

██ Negative: (sprint_20m_s <---> vo2_mlkgmin), (sprint_20m_s <---> strength_kg)

██ Highly Negative: (None)

Note: Curated Help is calculated based on actual cell values, not the formatted values.

Variables Entered/Removed^a
Model	Variables Entered	Variables Removed	Method
1	strength_kg, vo2_mlkgmin^b	.	Enter
a. Dependent Variable: sprint_20m_s
b. All requested variables entered.

Model Summary^b
Model	R	R Square	Adjusted R Square	Std. Error of the Estimate
1	.731^a	.535	.518	.245932
a. Predictors: (Constant), strength_kg, vo2_mlkgmin
b. Dependent Variable: sprint_20m_s

ANOVA^a
Model	Sum of Squares	df	Mean Square	F	Sig.
1	Regression	3.961	2	1.980	32.741	<.001^b
Residual	3.448	57	.060
Total	7.408	59
a. Dependent Variable: sprint_20m_s
b. Predictors: (Constant), strength_kg, vo2_mlkgmin

Coefficients^a
Model		Unstandardized Coefficients		Standardized Coefficients	t	Sig.	95.0% Confidence Interval for B		Correlations			Collinearity Statistics
Model		B	Std. Error	Beta	t	Sig.	Lower Bound	Upper Bound	Zero-order	Partial	Part	Tolerance	VIF
1	(Constant)	5.536	.218		25.382	<.001	5.099	5.973
	vo2_mlkgmin	-.020	.006	-.381	-3.365	.001	-.032	-.008	-.643	-.407	-.304	.637	1.570
	strength_kg	-.012	.003	-.435	-3.844	<.001	-.018	-.006	-.665	-.454	-.347	.637	1.570
a. Dependent Variable: sprint_20m_s

Correlations Zero-order

██ Highly Positive: (None)

██ Positive: (None)

██ No Linear Correlation: (None)

██ Negative: (vo2_mlkgmin <---> Model 1), (strength_kg <---> Model 1)

██ Highly Negative: (None)

Correlations Partial

██ Highly Positive: (None)

██ Positive: (None)

██ No Linear Correlation: (None)

██ Negative: (vo2_mlkgmin <---> Model 1), (strength_kg <---> Model 1)

██ Highly Negative: (None)

Correlations Part

██ Highly Positive: (None)

██ Positive: (None)

██ No Linear Correlation: (None)

██ Negative: (vo2_mlkgmin <---> Model 1), (strength_kg <---> Model 1)

██ Highly Negative: (None)

Note: Curated Help is calculated based on actual cell values, not the formatted values.

Residuals Statistics^a
	Minimum	Maximum	Mean	Std. Deviation	N
Predicted Value	3.22235	4.30703	3.79138	.259090	60
Std. Predicted Value	-2.196	1.990	.000	1.000	60
Standard Error of Predicted Value	.032	.093	.053	.015	60
Adjusted Predicted Value	3.18785	4.37528	3.79248	.261902	60
Residual	-.530274	.539911	.000000	.241728	60
Std. Residual	-2.156	2.195	.000	.983	60
Stud. Residual	-2.217	2.317	-.002	1.013	60
Deleted Residual	-.560820	.601153	-.001092	.256935	60
Stud. Deleted Residual	-2.299	2.412	-.004	1.028	60
Mahal. Distance	.003	7.508	1.967	1.714	60
Cook's Distance	.000	.203	.021	.039	60
Centered Leverage Value	.000	.127	.033	.029	60
a. Dependent Variable: sprint_20m_s