Environmental Sciences Europe

Table 4 Factor analysis–multiple linear regression analysis (FA–MLR) and heavy metals sources identified in the sediment of the Yutan Lake

From: Ecological risk assessment and source tracing of heavy metals in surface sediments of a hilly riverine reservoir in Chongqing, China

Linear regression
I_Cd	Coef	St. Err	t value	p value	[95% Conf.	Interval]	Sig
factor_score1	0.232	0.019	11.90	0	0.192	0.272	***
factor_score2	0.012	0.021	0.57	0.572	-0.031	0.055
factor_score3	0.01	0.023	0.43	0.67	-0.037	0.057
Constant	1.991	0.019	105.57	0	1.952	2.029	***
Mean dependent var		1.991		SD dependent var		0.250
R-squared		0.836		Number of obs		32
F test		47.530		Prob > F		0.000
Akaike crit. (AIC)		− 48.695		Bayesian crit. (BIC)		− 42.832

Linear regression
I_Cr	Coef	St.Err	t value	p value	[95% Conf.	Interval]	Sig
factor_score1	0.101	0.019	5.43	0	0.063	0.139	***
factor_score2	− 0.017	0.02	− 0.84	0.408	− 0.058	0.024
factor_score3	− 0.091	0.022	− 4.16	0	− 0.136	-0.046	***
Constant	− 1.992	0.018	− 110.70	0	− 2.028	− 1.955	***
Mean dependent var		− 1.992		SD dependent var		0.157
R-squared		0.620		Number of obs		32
F test		15.218		Prob > F		0.000
Akaike crit. (AIC)		− 51.704		Bayesian crit. (BIC)		− 45.841

Linear regression
I_Pb	Coef	St.Err	t value	p value	[95% Conf.	Interval]	Sig
factor_score1	0.196	0.014	14.35	0	0.168	0.224	***
factor_score2	− 0.036	0.015	− 2.43	0.022	− 0.066	− 0.006	**
factor_score3	− 0.091	0.016	− 5.67	0	− 0.124	− 0.058	***
Constant	0.384	0.013	29.10	0	0.357	0.411	***
Mean dependent var		0.384		SD dependent var		0.218
R-squared		0.895		Number of obs		32
F test		79.222		Prob > F		0.000
Akaike crit. (AIC)		− 71.578		Bayesian crit. (BIC)		− 65.716

Linear regression
I_Cu	Coef	St.Err	t value	p value	[95% Conf.	Interval]	Sig
factor_score1	0.033	0.012	2.66	0.013	0.008	0.058	**
factor_score2	0.202	0.013	15.04	0	0.174	0.229	***
factor_score3	0.021	0.015	1.43	0.165	− 0.009	0.051
Constant	0.863	0.012	72.14	0	0.839	0.888	***
Mean dependent var		0.863		SD dependent var		0.196
R-squared		0.893		Number of obs		32
F test		77.661		Prob > F		0.000
Akaike crit. (AIC)		− 77.782		Bayesian crit. (BIC)		− 71.919

Linear regression
I_Zn	Coef	St.Err	t value	p value	[95% Conf.	Interval]	Sig
factor_score1	0.122	0.02	5.99	0	0.08	0.164	***
factor_score2	0.241	0.022	10.89	0	0.195	0.286	***
factor_score3	0.035	0.024	1.47	0.154	− 0.014	0.084
Constant	0.551	0.02	27.94	0	0.511	0.592	***
Mean dependent var		0.551		SD dependent var		0.271
R-squared		0.846		Number of obs		32
F test		51.420		Prob > F		0.000
Akaike crit. (AIC)		− 45.791		Bayesian crit. (BIC)		− 39.928

Linear regression
I_Hg	Coef	St. Err	t value	p value	[95% Conf.	Interval]	Sig
factor_score1	0.273	0.017	15.74	0	0.237	0.308	***
factor_score2	0.012	0.019	0.63	0.536	− 0.027	0.05
factor_score3	− 0.024	0.02	− 1.17	0.253	− 0.066	0.018
Constant	1.037	0.017	61.93	0	1.003	1.072	***
Mean dependent var		1.037		SD dependent var		0.283
R-squared		0.899		Number of obs		32
F test		82.803		Prob > F		0.000
Akaike crit. (AIC)		− 56.263		Bayesian crit. (BIC)		− 50.400

Linear regression
I_As	Coef	St.Err	t value	p value	[95% Conf.	Interval]	Sig
factor_score1	0.268	0.009	28.29	0	0.249	0.287	***
factor_score2	− 0.085	0.01	− 8.24	0	− 0.106	− 0.064	***
factor_score3	0.092	0.011	8.21	0	0.069	0.114	***
Constant	1.2	0.009	130.88	0	1.181	1.218	***
Mean dependent var		1.200		SD dependent var		0.294
R-squared		0.972		Number of obs		32
F test		322.846		Prob > F		0.000
Akaike crit. (AIC)		− 94.860		Bayesian crit. (BIC)		− 88.997

Linear regression
I_Ni	Coef	St.Err	t value	p value	[95% Conf.	Interval]	Sig
factor_score1	0.254	0.016	15.44	0	0.221	0.288	***
factor_score2	− 0.036	0.018	− 2.03	0.052	− 0.073	0	*
factor_score3	0.068	0.019	3.49	0.002	0.028	0.108	***
Constant	− 1.06	0.016	− 66.50	0	− 1.093	− 1.027	***
Mean dependent var		− 1.060		SD dependent var		0.275
R-squared		0.903		Number of obs		32
F test		86.873		Prob > F		0.000
Akaike crit. (AIC)		− 59.449		Bayesian crit. (BIC)		− 53.587

Linear regression
I_Co	Coef	St.Err	t value	p value	[95% Conf.	Interval]	Sig
factor_score1	− 0.007	0.016	− 0.48	0.638	− 0.039	0.025
factor_score2	− 0.013	0.017	− 0.74	0.465	− 0.047	0.022
factor_score3	0.033	0.018	1.78	0.085	− 0.005	0.071	*
Constant	0.678	0.015	44.82	0	0.647	0.708	***
Mean dependent var		0.678		SD dependent var		0.087
R-squared		0.127		Number of obs		32
F test		1.354		Prob > F		0.277
Akaike crit. (AIC)		− 62.851		Bayesian crit. (BIC)		− 56.988

***p < 0.01
**p <0 .05
*p <0 .1

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