Hello to everybody,

I want to implement a non-linear least square curve fitting and I am using
the package "nlmrt", concretely the function nlxb. I have a dataset with
three variables and 176 values, one response variables (R) and two
predicting variables (T and H). When I fit a model of the form R ~
a*b^((T-10)/10) to my data using the function nlxb seems to be all ok with
a complet output; the same happens when I fit a model R ~ a + b*H - c*H^2.
But due to my research interest, when I try to fit a model result of the
product of the above models (R ~ (b1*b2^((T-10)/10))*(b3 + b4*H - b5*H^2) I
do obtain NA values in the SE, tstat and pval fields from the nlxb output,
as showed below:

nlmrt class object: x
residual sumsquares =  25348  on  176 observations
    after  4    Jacobian and  5 function evaluations
  name            coeff          SE       tstat      pval
gradient    JSingval
R10            0.0619936            NA         NA         NA
7.494e-06        8822
Q10              2.27113            NA         NA         NA
5.422e-08       217.5
a                 133.85            NA         NA         NA
-2.288e-09       75.96
b                56.8145            NA         NA         NA
8.058e-09       0.658
c                1.11775            NA         NA         NA
2.8e-07   1.928e-15



I would like to know which error do you think I am making. Attached is the
document which contain the data.

Thank you very much in advance,

Carlos.

-- 
Carlos Ortiz Oñate

PhD student

Department of Agricultural Production

Technical University of Madrid

e-mail: ortiz.onate.car...@gmail.com <t...@life.ku.dk>
R       T       H
36.47   14.10   5.95
34.28   14.25   5.65
35.86   14.90   7.78
38.18   18.10   4.53
33.52   14.40   6.15
29.44   14.60   4.55
34.79   14.80   6.78
20.38   16.70   3.58
26.70   14.90   3.00
33.30   14.90   3.65
20.28   15.00   3.58
51.18   16.90   2.78
29.76   14.90   2.48
14.90   15.10   2.40
21.05   15.30   3.10
16.18   17.10   2.85
26.50   11.40   10.85
37.69   11.90   7.08
37.37   11.90   7.30
27.02   12.00   5.83
42.16   7.20    26.03
47.75   7.70    20.15
53.05   7.90    17.78
26.48   8.00    13.53
47.50   7.20    11.45
28.47   7.40    20.85
45.62   7.40    15.23
42.31   7.90    16.45
18.10   4.10    27.35
27.71   5.50    17.58
34.27   5.60    28.33
27.75   5.70    21.03
33.09   4.20    37.28
19.05   4.20    41.63
14.08   4.80    36.48
23.15   5.30    28.93
24.64   4.30    31.48
35.80   4.40    33.50
23.41   4.40    32.63
29.63   4.60    25.25
78.01   10.00   25.45
60.40   10.20   28.28
61.32   10.20   32.35
48.25   10.30   28.45
54.62   11.00   18.63
55.19   11.10   21.18
69.03   11.80   22.03
64.01   14.40   15.78
41.20   12.70   16.43
39.20   12.80   12.63
35.20   12.90   12.88
79.98   15.30   11.03
69.60   13.80   27.65
64.32   14.00   18.20
93.22   14.30   24.58
91.86   15.80   22.23
50.28   14.40   4.73
37.03   14.50   5.03
47.23   14.90   5.33
47.65   16.80   3.93
48.68   14.90   8.38
73.43   14.90   10.00
47.31   15.10   7.38
75.10   15.90   11.93
45.40   12.60   10.13
47.86   12.90   9.28
49.39   13.10   12.05
37.27   13.70   5.53
41.63   8.40    11.43
53.83   9.10    11.48
36.66   9.20    8.85
44.03   9.60    11.23
45.94   5.90    29.70
60.64   6.60    14.98
48.91   6.60    23.83
47.02   6.60    25.13
13.62   1.30    14.98
24.86   1.60    13.75
27.28   1.80    17.08
28.16   2.20    14.13
23.29   2.60    39.65
23.23   2.60    36.35
25.10   2.70    36.05
25.68   3.40    32.85
54.88   9.90    26.80
39.19   10.50   25.23
59.74   10.90   25.03
42.39   12.50   26.23
49.24   6.80    30.65
52.70   7.00    30.00
49.18   7.50    29.43
69.69   7.60    29.30
56.05   9.80    28.78
45.72   9.90    26.53
56.07   10.30   28.70
48.40   11.80   29.25
39.10   14.60   11.15
58.45   14.90   9.58
78.41   15.50   6.50
65.89   15.70   12.05
45.25   13.40   5.40
45.87   14.00   5.00
32.47   14.40   7.05
46.08   16.70   1.65
43.08   16.70   4.18
50.24   17.10   6.43
39.22   17.60   4.83
26.41   17.70   5.30
37.58   12.30   5.78
20.67   12.90   3.15
25.80   12.90   2.63
27.71   13.20   3.80
22.74   13.20   4.50
17.18   13.40   4.50
17.95   13.70   5.75
15.77   14.30   4.75
80.91   6.60    24.25
37.71   6.80    17.00
60.88   7.30    17.50
47.62   7.30    15.00
45.92   4.40    27.50
19.28   5.70    19.50
32.94   6.10    22.25
52.46   6.40    19.50
20.03   1.20    25.88
26.29   1.90    23.75
25.09   2.40    21.00
35.26   2.80    23.10
11.00   1.30    27.60
23.49   1.60    22.70
48.21   2.40    21.38
17.76   3.10    24.95
10.95   1.70    27.60
20.90   1.80    24.95
28.61   1.90    22.70
47.77   2.00    21.38
24.96   3.10    19.55
20.90   6.10    19.75
24.63   6.20    17.45
27.10   6.20    22.30
28.96   10.00   18.70
32.04   10.00   15.80
44.78   10.20   19.60
50.55   10.80   21.40
33.81   11.70   9.80
42.71   12.00   12.60
42.32   12.10   11.90
56.49   16.80   11.20
53.77   12.50   12.10
81.96   12.80   12.00
67.85   13.40   9.00
38.25   13.60   9.90
58.57   16.00   3.40
44.80   16.00   3.40
27.37   16.30   3.00
52.12   18.30   5.10
15.24   13.60   1.70
8.97    13.90   1.80
13.60   14.20   3.90
4.24    14.30   2.60
25.73   13.40   3.80
24.97   13.50   3.10
29.62   13.50   3.90
23.37   13.60   7.10
34.60   10.40   17.60
35.98   10.50   9.70
42.13   10.60   10.60
43.51   11.50   6.80
43.17   8.80    14.60
34.13   9.10    9.80
51.48   9.40    11.00
42.47   9.40    8.30
12.27   6.00    26.30
27.19   6.10    17.20
26.06   6.40    20.70
36.07   6.50    19.90
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