Hi R Users,

I am going to run a multiple linear regression with around 57 independent
variables. Each time I run the model with just 11 variables, the results
are reasonable. With increasing the number of independent variables more
than 11, the coefficients will get “NA” in the output.  Is there any
limitation for the number of independent variables in multiple linear
regressions in R? I attached my dataset as well as R codes below:



mlr.data<- read.table("./multiple.txt",header=T)

mlr.output<- lm(formula = CaV ~ SHG +  TrD+  CrH+ SPAD+ FlN+ FrN+   YT+
LA+ LDMP+    B+Cu+  Zn+   Mn +   Fe+   K +  P+   N +Clay30 +Silt30 +Sand30
+Clay60 +Silt60 +Sand60 +ESP30 +NaEx30+ CEC30+Cl30+ SAR30 +KSol30+ NaSol30
+CaMgSol3 +ZnAv30 +FeAv30 +OC30 +PAv30 +KAv30 +TNV30+ pH30+ EC30 +SP30
+ESP60 +NaEx60 +CEC60  +Cl60 +SAR60 +KSol60 +NaSol60 +CaMgSol6
+ZnAv60+FeAv60 +OC60 +PAv60 +KAv60 +TNV60 +pH60 + EC60 +SP60, data=mlr.data)

summary (mlr.output)




Regards,

Reza
CaV     SHG     TrD     CrH     SPAD    FlN     FrN     YT      LA      LDMP    
B       Cu      Zn      Mn      Fe      K       P       N       Clay30  Silt30  
Sand30  Clay60  Silt60  Sand60  ESP30   NaEx30  CEC30   Cl30    SAR30   KSol30  
NaSol30 CaMgSol3        ZnAv30  FeAv30  OC30    PAv30   KAv30   TNV30   pH30    
EC30    SP30    ESP60   NaEx60  CEC60   Cl60    SAR60   KSol60  NaSol60 
CaMgSol6        ZnAv60  FeAv60  OC60    PAv60   KAv60   TNV60   pH60    EC60    
SP60
49.83   15.8    22.32   45.8    82.7    126     5       55.8    34.7    57.7    
17.9    8.4     14.7    50.5    144.7   0.9     0.1     1.7     14      50      
36      10      26      64      3.2     0.3     11.9    87.7    5.6     2.5     
25.7    69.8    2.9     3.1     0.66    64.4    360     14.8    9.94    0.6     
39.6    4.8     0.2     12.2    51.4    6.9     1.4     33.4    69.9    1.8     
3.4     0.2     3.5     290     11.5    7.19    3.21    40.1
37.85   18.9    20.89   53.2    75.9    169     4       67.4    40.1    58.6    
15.8    7.9     12.1    53.2    141.6   0.7     0.1     1.9     13      51      
34      11      28      64.0    1.9     0.2     12.5    45.7    7.8     3.8     
22.9    77.9    3.1     2.5     0.69    45.6    390     14.8    7.2     1.1     
40.1    5.4     0.1     13.3    59.9    7.9     1.7     56.6    58.9    1.5     
5.5     0.6     1.9     350     10.2    7.1     3.7     42.1
64.12   20.7    19.04   43.9    74.3    133     5       55.9    38.7    60.0    
12.1    6.3     12.6    47.4    159.5   1.0     0.1     1.6     12      48      
33      13      26      62.0    6.4     1.1     12.6    33.2    10.1    1.8     
43.8    99.3    1.5     2.8     0.57    20.5    470     15.1    7.1     0.7     
39.8    4.9     0.3     10.9    65.5    7.1     2.3     42.1    66.4    1.1     
3.9     0.7     2.9     288.9   12.2    7.2     4.1     35.6
90.28   14.6    19.52   56.9    61.9    145     7       66.5    33.2    59.1    
13.7    4.7     10.0    52.1    241.1   0.8     0.1     1.9     13      47      
32      10      30      57.0    5.5     0.3     11.7    31.2    3.5     2.4     
50.4    65.7    1.9     2.5     0.88    41.9    398     14.3    7       2.4     
38.7    3.1     0.5     14.1    71.9    8.4     1.9     36.7    59.1    0.9     
2.6     0.5     2.7     290.7   13.6    7       2.6     43.7
111.18  13.2    16.53   61.3    78      127     6       49.9    41.7    51.6    
14.7    4.7     10.0    55.8    148.9   0.7     0.1     1.9     14      46      
37      11      28      60.0    3.9     0.7     11      21.7    4.3     0.9     
33.7    73.6    2.3     2.7     0.78    33.4    349     15.2    7.4     0.9     
39.1    2.8     0.1     12.5    76.6    8.9     3.1     32.1    71.4    0.5     
6.9     0.5     2.5     256.9   15.1    7.5     1.7     36.7
59.11   12.9    21.34   45.3    78.9    178     6       63.3    39.8    52.0    
19.5    4.2     8.9     54.7    229.5   0.7     0.1     1.7     13      46      
36      12      30      62.0    2.7     0.7     12.9    19.5    2.6     2.8     
61.2    86.9    2.2     3.7     0.86    27.8    400.5   17.1    7.1     2.1     
39.9    3.9     0.3     11.9    57.4    6.7     1.6     30.1    89.9    1.8     
5.8     0.3     3.7     224.8   12.9    7.3     5.5     34.9
80.89   17.9    15.86   40.3    66.8    154     7       45.6    36.8    47.8    
21.6    3.7     12.6    54.7    162.1   0.7     0.1     1.9     11      50      
35      13      31      61.0    2.9     0.4     10.9    37.9    7.1     1.9     
19.5    55.8    2.8     2.9     0.66    45.1    459     15.6    7.2     0.8     
36.1    5.1     0.4     13.1    85.5    5.7     2.1     29.1    92.1    1.9     
7.8     0.7     2.8     278.9   11.8    7.2     6.1     32.7
122.74  16.6    17.29   43      77.8    140     6       32.9    37.7    55.6    
20.0    4.2     12.1    47.4    152.6   0.9     0.1     1.7     14      49      
36      11      25      58.0    3.2     1.5     11.5    24.5    3.9     3.7     
20.8    56.9    1.9     2.6     0.72    40.7    398     16.3    7.3     0.7     
37.7    2.2     0.1     11.8    55.5    6.1     1.8     39.9    69.9    2.1     
2.4     0.3     1.8     312.8   10.6    7.4     7.3     31.2
20.08   7.6     18.28   33.8    60.5    81      1       11.3    37.0    59.8    
21.3    3.2     4.9     67.5    153.4   0.5     0.1     0.7     16      46      
38      15      45      40      7.7     0.8     11.2    139.8   10.7    1.3     
80.7    106.6   2.4     2.4     0.6     10.9    345.8   14.8    7.5     12.2    
36.3    6.3     0.7     10.5    108.2   9.8     0.5     63.7    84.4    1.3     
2.5     0.4     3.3     213.0   15.7    7.6     10.5    38.2
22.09   11.8    14.44   40.3    61.4    67      2       13.5    34.6    58.7    
21.6    2.6     7.6     57.4    186.5   0.5     0.1     0.6     13      48      
35      12      30      59      6.8     0.8     12.1    45.8    5.6     1.0     
26.1    37.1    1.3     2.5     0.6     4.3     407.2   17.5    7.7     4.7     
34.5    6.9     0.8     12.0    65.9    7.4     0.7     38.2    50.9    0.9     
2.9     0.4     1.9     265.3   18.3    7.6     6.8     35.2
25.04   8.4     15.29   46.3    65.5    60      1       11.0    33.2    56.2    
21.4    2.2     10.1    54.6    167.8   0.4     0.1     0.8     13      48      
35      12      30      58      11.3    1.2     10.4    79.7    10.4    0.8     
60.6    61.9    0.9     2.2     0.5     3.6     341.3   16.3    7.6     8.3     
33.3    9.0     1.0     10.8    82.0    11.8    0.5     65.7    60.5    0.5     
2.1     0.3     0.7     205.0   17.9    7.6     8.8     35.1
27.77   23.9    17.80   58.6    80.1    77      2       16.7    37.1    54.9    
17.6    3.8     2.7     43.3    108.3   0.4     0.1     1.1     13      48      
35      12      31      57      5.3     0.4     8.3     117.0   14.5    2.0     
96.7    71.8    0.9     2.4     0.5     3.9     395.0   15.0    7.7     10.0    
32.8    11.8    0.9     8.1     73.4    10.7    1.6     57.9    58.1    0.4     
3.1     0.3     1.1     193.8   15.8    7.7     8.0     30.1
34.03   8.7     21.02   50.3    68.7    58      1       15.5    36.8    55.9    
18.4    2.5     4.6     41.3    141.2   0.4     0.1     0.9     13      48      
36      12      31      57      4.4     0.5     10.2    34.1    4.7     1.3     
22.4    30.8    0.7     2.5     0.8     4.8     446.4   14.8    7.7     4.3     
33.4    4.0     0.4     10.5    58.8    7.6     0.8     38.9    46.6    0.4     
2.3     0.5     1.7     316.7   15.7    7.7     6.4     34.2
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