466
The models created are presented in equations 7 to 11.
Zn Conc Mass Rec
A s
Z n
Z Z
.
.
Mass Rec
.
.
.
As
0 0 1 0 0008
0 0283
(7)
Pb Conc Mass Rec
N i
B
N N
a
M n
M M
. Mass Rec
.
.
Ba Ba Ba
0 0147 0 0004
0 000005
0 000007
(8)
Tailings Mass Rec
A s
Z n
Z Z
. .
.
.
As
1 0624 0 0008
0 0283
(9)
Zn Met Rec in Zn Conc
V
Z n
C
Z
u
C C
.
.
Rec
.
.
.
V
Z n
.
=
−
Zn Z Zn Z Z
+
0 0 2290 0 00097
0 0234
0 00096
0 0
. 224 2 2 Li (10)
Zn Met Rec in Tailings
V
Z n
Z Z
.
.
Rec
.
.
=
+
.
0 5218 0 0015
0 0255
(11)
Analyzing the residual graphs presented in Figure 1 it is possible to conclude that all the
five models built have normal distribution of residuals according to Anderson Darling test.
Figure 1. Information about the regression models elaborated and residual analysis graphs.
Zn Cone. Mass Recovery
R-squared: 0.986
Adj.R-squared: 0.985
F-statistic: 1257
Prob(F-statistic): 4.96E-34
Variable
Coef
Std Error
P>ltl
Cons!
-0.07 17
8.29E-03 -8.647 0.000
Zn (%)
0.0283
6.63£-04
42.78 0.000
As (ppm)
-0.0008
1.81E-04 -4.478 0.000
Pb Cone. Mass Recovery
R-squared: 0.386
Adj.R-squared: 0.333
F-statistic: 7.336
Prob(F-statistic): 0.000611
Variable
Coef Std Error
P>ltl
Const
0.0147
3.05E-03 4.842 0.000
Ni (ppm)
-0.0004
1.21 E-04 -3.591 0.001
Ba (ppm)
-0.000005
1.44E-06 -3.551 0.00 1
Mn (ppm)
0.000007
3.17E-06 2.234
0.03
Tailings Mass Recovery
R-squared: 0.985
Adj .R-squared: 0.984
F-statistic: 1160
Prob(F-statistic): 2.07£-33
Variable
Coef
Std Error
P>ltl
Cons!
1.0624
8.6 1£ -03 123.4 0.000
Zn (%)
-0.0283
6.88£-04 -41.2 0.000
As (ppm)
0.0008
1.87E-04 4.504 0.000
Zn Met. Recovery in Zn Concentrate
R-squared: 0.905
Adj.R-squared: 0.893
F-statistic: 80.68
Prob(F -statistic): 7.24 E-17
Variable
Coef Std Error
P>ltl
Const
0.2290
9.88E-02 2.3 17 0.027
V (ppm)
-0.00097
3.61 E-04 -2.676 0.011
Cu (ppm)
0.00096
2.95£-04 3.248 0.003
Li (ppm)
0.0224
9.57E-03 2.33 7 O.Q3
Zn(%)
0.0234
1.64£-03
14.25 0.000
Zn Met. Recovery in Tailings
R-squared: 0.877
Adj .R-squared: 0.87
F-statistic: 128 .7
Prob(F-statistic): 3.99E-1 7
Variable
Coef
Std Error
P>ltl
Cons!
0.5218
2.7 1E-02
19.25 0.000
V (ppm)
0.00 15
3.26£-04
4.676 0.000
Zn (%)
-0.0255
1.59£-03 - 16.03 0.000
Zn Cone. Mass Recovery
Predicted x Residual
j 0.00 . - .
0.05~'·
-0.05 •
•
0.00
0 .25
0 .50
Fitted Value
Pb Cone. Mass Recovery
Predicted x Residual
L: : : : f¥l
-0.010~ 0.000 0.005 0.010 0,015
Fitted Value
Ta ilings Mass Recovery
Predicted x Residual
0.05
•
•
~ 0.00 '-t>,·~
~
~
~
;
~
-0.05
• •
••
0.50
0.75
1.00
Fitted Value
Zn Met. Rec. in Zn Cone.
Predicted x Residual
•
0.1
·~'7
0.0
- 0 .1
•
0.5
1.0
Fitted Value
Zn Met. Rec. in Ta ilings
Predicted x Residual
0.1
&·
0 .0
!I' - 0 .1 ••••• •
0.0
0.5
Fitted Value
Zn Cone. Mass Recovery
{lJ
0.00
0 .05
Residual
Pb Cone. Mass Recovery
~
10
R
[ )
esldual Histogram
• 5
!1
0
-0.005 0.000
Residual
Tailings Mass Recovery
Residual Histogram
: : r:L
2.5
0.0
- 0.05
0.00
Residual
Zn Met. Rec. in Zn Cone.
: :: f j L ]
Residual Histogram
2.5
0 .0
0.0
0.1
Residual
7.5
5.0
2.5
0.0
Residual
The models created are presented in equations 7 to 11.
Zn Conc Mass Rec
A s
Z n
Z Z
.
.
Mass Rec
.
.
.
As
0 0 1 0 0008
0 0283
(7)
Pb Conc Mass Rec
N i
B
N N
a
M n
M M
. Mass Rec
.
.
Ba Ba Ba
0 0147 0 0004
0 000005
0 000007
(8)
Tailings Mass Rec
A s
Z n
Z Z
. .
.
.
As
1 0624 0 0008
0 0283
(9)
Zn Met Rec in Zn Conc
V
Z n
C
Z
u
C C
.
.
Rec
.
.
.
V
Z n
.
=
−
Zn Z Zn Z Z
+
0 0 2290 0 00097
0 0234
0 00096
0 0
. 224 2 2 Li (10)
Zn Met Rec in Tailings
V
Z n
Z Z
.
.
Rec
.
.
=
+
.
0 5218 0 0015
0 0255
(11)
Analyzing the residual graphs presented in Figure 1 it is possible to conclude that all the
five models built have normal distribution of residuals according to Anderson Darling test.
Figure 1. Information about the regression models elaborated and residual analysis graphs.
Zn Cone. Mass Recovery
R-squared: 0.986
Adj.R-squared: 0.985
F-statistic: 1257
Prob(F-statistic): 4.96E-34
Variable
Coef
Std Error
P>ltl
Cons!
-0.07 17
8.29E-03 -8.647 0.000
Zn (%)
0.0283
6.63£-04
42.78 0.000
As (ppm)
-0.0008
1.81E-04 -4.478 0.000
Pb Cone. Mass Recovery
R-squared: 0.386
Adj.R-squared: 0.333
F-statistic: 7.336
Prob(F-statistic): 0.000611
Variable
Coef Std Error
P>ltl
Const
0.0147
3.05E-03 4.842 0.000
Ni (ppm)
-0.0004
1.21 E-04 -3.591 0.001
Ba (ppm)
-0.000005
1.44E-06 -3.551 0.00 1
Mn (ppm)
0.000007
3.17E-06 2.234
0.03
Tailings Mass Recovery
R-squared: 0.985
Adj .R-squared: 0.984
F-statistic: 1160
Prob(F-statistic): 2.07£-33
Variable
Coef
Std Error
P>ltl
Cons!
1.0624
8.6 1£ -03 123.4 0.000
Zn (%)
-0.0283
6.88£-04 -41.2 0.000
As (ppm)
0.0008
1.87E-04 4.504 0.000
Zn Met. Recovery in Zn Concentrate
R-squared: 0.905
Adj.R-squared: 0.893
F-statistic: 80.68
Prob(F -statistic): 7.24 E-17
Variable
Coef Std Error
P>ltl
Const
0.2290
9.88E-02 2.3 17 0.027
V (ppm)
-0.00097
3.61 E-04 -2.676 0.011
Cu (ppm)
0.00096
2.95£-04 3.248 0.003
Li (ppm)
0.0224
9.57E-03 2.33 7 O.Q3
Zn(%)
0.0234
1.64£-03
14.25 0.000
Zn Met. Recovery in Tailings
R-squared: 0.877
Adj .R-squared: 0.87
F-statistic: 128 .7
Prob(F-statistic): 3.99E-1 7
Variable
Coef
Std Error
P>ltl
Cons!
0.5218
2.7 1E-02
19.25 0.000
V (ppm)
0.00 15
3.26£-04
4.676 0.000
Zn (%)
-0.0255
1.59£-03 - 16.03 0.000
Zn Cone. Mass Recovery
Predicted x Residual
j 0.00 . - .
0.05~'·
-0.05 •
•
0.00
0 .25
0 .50
Fitted Value
Pb Cone. Mass Recovery
Predicted x Residual
L: : : : f¥l
-0.010~ 0.000 0.005 0.010 0,015
Fitted Value
Ta ilings Mass Recovery
Predicted x Residual
0.05
•
•
~ 0.00 '-t>,·~
~
~
~
;
~
-0.05
• •
••
0.50
0.75
1.00
Fitted Value
Zn Met. Rec. in Zn Cone.
Predicted x Residual
•
0.1
·~'7
0.0
- 0 .1
•
0.5
1.0
Fitted Value
Zn Met. Rec. in Ta ilings
Predicted x Residual
0.1
&·
0 .0
!I' - 0 .1 ••••• •
0.0
0.5
Fitted Value
Zn Cone. Mass Recovery
{lJ
0.00
0 .05
Residual
Pb Cone. Mass Recovery
~
10
R
[ )
esldual Histogram
• 5
!1
0
-0.005 0.000
Residual
Tailings Mass Recovery
Residual Histogram
: : r:L
2.5
0.0
- 0.05
0.00
Residual
Zn Met. Rec. in Zn Cone.
: :: f j L ]
Residual Histogram
2.5
0 .0
0.0
0.1
Residual
7.5
5.0
2.5
0.0
Residual