Multiple Linear Regression - Estimated Regression Equation
promedio[t] = + 3.32364 + 0.19162vocabulario[t] -0.194239memoria[t] + 0.00126058t + e[t]
Warning: you did not specify the column number of the endogenous series! The first column was selected by default.


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0		2-tail p-value1-tail p-value
(Intercept)+3.324 0.5845+5.6860e+00 9.861e-08 4.931e-08
vocabulario+0.1916 0.01256+1.5260e+01 1.685e-29 8.426e-30
memoria-0.1942 0.104-1.8670e+00 0.06438 0.03219
t+0.001261 0.002922+4.3140e-01 0.667 0.3335


Multiple Linear Regression - Regression Statistics
Multiple R 0.8496
R-squared 0.7217
Adjusted R-squared 0.7146
F-TEST (value) 100.3
F-TEST (DF numerator)3
F-TEST (DF denominator)116
p-value 0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation 1.07
Sum Squared Residuals 132.9


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast		Residuals
Prediction Error
1 8.7 9.63-0.93
2 10 9.251 0.7493
3 7.7 8.102-0.4022
4 8 9.248-1.248
5 8.3 7.53 0.7701
6 7.7 6.762 0.938
7 6.7 7.343-0.6434
8 7.3 7.725-0.4253
9 6 6.38-0.3799
10 7 7.347-0.3472
11 8.3 8.118 0.1825
12 8 7.344 0.6556
13 8 7.732 0.2684
14 6 5.819 0.1808
15 5.7 5.051 0.6486
16 4 4.089-0.08933
17 6.7 5.437 1.263
18 5 3.908 1.092
19 4.3 4.101 0.199
20 3 3.908-0.908
21 8 8.122-0.1223
22 9.3 8.885 0.4152
23 7.3 7.361-0.06093
24 7.7 7.36 0.3404
25 7.7 6.786 0.914
26 7.7 7.17 0.5295
27 6 4.683 1.317
28 6 5.07 0.9296
29 3.5 4.114-0.6136
30 5.3 4.117 1.183
31 8.7 8.901-0.2014
32 9.3 9.283 0.01676
33 7.3 8.904-1.604
34 8 7.758 0.242
35 7 7.373-0.3734
36 7 6.417 0.5834
37 7 7.376-0.376
38 8 7.574 0.4259
39 7.3 7.378-0.07848
40 5.7 6.033-0.3332
41 7.7 6.809 0.8912
42 5.7 4.894 0.8062
43 4.7 4.898-0.1977
44 6 5.663 0.3372
45 6.3 6.05 0.2501
46 4.3 4.516-0.2156
47 3 4.709-1.709
48 3 4.712-1.712
49 5.3 5.092 0.2083
50 8.7 5.285 3.415
51 4.7 5.097-0.3968
52 3 4.145-1.145
53 3 3.755-0.7554
54 4 4.15-0.1503
55 8.3 7.399 0.9013
56 4.5 5.1-0.6005
57 7 5.679 1.321
58 6 5.486 0.5138
59 5.3 4.346 0.9544
60 1 3.192-2.192
61 8 9.123-1.123
62 8.3 8.938-0.6378
63 7.7 8.558-0.8585
64 8.7 8.749-0.04872
65 6.3 8.369-2.069
66 7.7 6.838 0.8623
67 9.7 7.8 1.9
68 5.7 6.84-1.14
69 7 7.422-0.4215
70 7.3 7.612-0.3118
71 5 6.075-1.075
72 6 5.701 0.2993
73 3 4.93-1.93
74 3 4.548-1.548
75 5.7 5.508 0.1923
76 6 5.895 0.1052
77 4 5.13-1.13
78 4.7 5.322-0.6224
79 1 4.749-3.749
80 6 5.514 0.486
81 3 3.218-0.2184
82 5 3.986 1.014
83 2 3.41-1.41
84 8 8.007-0.007452
85 6.3 5.904 0.3965
86 7 5.713 1.287
87 3 4.759-1.759
88 5 5.527-0.5267
89 5 5.531-0.5306
90 3 3.999-0.9989
91 9.7 9.355 0.345
92 8.7 9.55-0.8505
93 8 9.365-1.365
94 7.3 7.065 0.2354
95 9 7.449 1.551
96 7.7 7.067 0.6329
97 7 6.11 0.8897
98 8.3 8.033 0.267
99 7.3 7.074 0.2265
100 6 5.35 0.6498
101 6.3 5.349 0.9512
102 9 4.775 4.225
103 6.3 5.543 0.757
104 4.7 4.208 0.4919
105 4 3.438 0.5623
106 8.7 9.188-0.4875
107 8 7.847 0.1526
108 7 5.933 1.067
109 7.7 6.894 0.8055
110 7.3 7.66-0.3596
111 8.3 7.472 0.8281
112 6.3 6.898-0.5983
113 8 7.472 0.5282
114 4.5 4.985-0.4846
115 5.3 5.369-0.06909
116 7.7 5.751 1.949
117 4.7 5.18-0.48
118 5.3 5.184 0.1161
119 3.3 3.841-0.5412
120 2 3.653-1.653


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
7 0.4853 0.9706 0.5147
8 0.3356 0.6713 0.6644
9 0.2161 0.4322 0.7839
10 0.1336 0.2671 0.8664
11 0.1184 0.2369 0.8816
12 0.1498 0.2996 0.8502
13 0.09984 0.1997 0.9002
14 0.06351 0.127 0.9365
15 0.03734 0.07469 0.9627
16 0.02508 0.05017 0.9749
17 0.02536 0.05073 0.9746
18 0.01532 0.03063 0.9847
19 0.01185 0.0237 0.9882
20 0.02747 0.05493 0.9725
21 0.01662 0.03323 0.9834
22 0.01251 0.02502 0.9875
23 0.00782 0.01564 0.9922
24 0.004528 0.009055 0.9955
25 0.003432 0.006863 0.9966
26 0.001959 0.003919 0.998
27 0.001724 0.003447 0.9983
28 0.00104 0.002081 0.999
29 0.002276 0.004551 0.9977
30 0.001738 0.003475 0.9983
31 0.001234 0.002467 0.9988
32 0.0007014 0.001403 0.9993
33 0.002764 0.005527 0.9972
34 0.001676 0.003351 0.9983
35 0.001109 0.002219 0.9989
36 0.000731 0.001462 0.9993
37 0.0004729 0.0009459 0.9995
38 0.0002896 0.0005791 0.9997
39 0.0001618 0.0003235 0.9998
40 9.789e-05 0.0001958 0.9999
41 8.34e-05 0.0001668 0.9999
42 5.573e-05 0.0001115 0.9999
43 4.616e-05 9.233e-05 1
44 2.616e-05 5.232e-05 1
45 1.493e-05 2.986e-05 1
46 1.086e-05 2.172e-05 1
47 9.837e-05 0.0001967 0.9999
48 0.0004186 0.0008373 0.9996
49 0.0002625 0.0005249 0.9997
50 0.03146 0.06292 0.9685
51 0.02503 0.05007 0.975
52 0.02729 0.05457 0.9727
53 0.0243 0.0486 0.9757
54 0.01799 0.03598 0.982
55 0.01952 0.03904 0.9805
56 0.01535 0.0307 0.9846
57 0.02374 0.04748 0.9763
58 0.02073 0.04146 0.9793
59 0.02799 0.05597 0.972
60 0.06254 0.1251 0.9375
61 0.06091 0.1218 0.9391
62 0.04778 0.09557 0.9522
63 0.03826 0.07653 0.9617
64 0.0289 0.0578 0.9711
65 0.04697 0.09395 0.953
66 0.05125 0.1025 0.9488
67 0.1405 0.2809 0.8595
68 0.1283 0.2567 0.8717
69 0.1087 0.2175 0.8913
70 0.089 0.178 0.911
71 0.08268 0.1654 0.9173
72 0.09015 0.1803 0.9099
73 0.1257 0.2514 0.8743
74 0.1428 0.2857 0.8572
75 0.1197 0.2393 0.8803
76 0.1056 0.2112 0.8944
77 0.09026 0.1805 0.9097
78 0.07016 0.1403 0.9298
79 0.4303 0.8606 0.5697
80 0.3982 0.7964 0.6018
81 0.3469 0.6937 0.6531
82 0.3716 0.7432 0.6284
83 0.4772 0.9545 0.5228
84 0.4447 0.8895 0.5553
85 0.4011 0.8022 0.5989
86 0.4134 0.8269 0.5866
87 0.543 0.9139 0.457
88 0.5119 0.9763 0.4881
89 0.4555 0.9111 0.5445
90 0.513 0.974 0.487
91 0.4921 0.9841 0.5079
92 0.5864 0.8271 0.4136
93 0.6462 0.7075 0.3538
94 0.6572 0.6856 0.3428
95 0.6454 0.7092 0.3546
96 0.6181 0.7638 0.3819
97 0.5931 0.8138 0.4069
98 0.531 0.9381 0.469
99 0.4705 0.9409 0.5295
100 0.4148 0.8296 0.5852
101 0.3874 0.7749 0.6126
102 0.9232 0.1537 0.07684
103 0.8873 0.2254 0.1127
104 0.8658 0.2684 0.1342
105 0.8081 0.3837 0.1919
106 0.8247 0.3507 0.1753
107 0.7868 0.4264 0.2132
108 0.7313 0.5373 0.2687
109 0.7716 0.4568 0.2284
110 0.7884 0.4233 0.2116
111 0.7631 0.4738 0.2369
112 0.6539 0.6922 0.3461
113 0.8303 0.3394 0.1697


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level26 0.243NOK
5% type I error level370.345794NOK
10% type I error level490.457944NOK