Multiple Linear Regression - Estimated Regression Equation
Intention_to_Use[t] = -1.29083 + 0.280189Perceived_Usefulness[t] + 0.167725System_Quality[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-1.291 0.8851-1.4580e+00 0.1465 0.07327
Perceived_Usefulness+0.2802 0.05684+4.9290e+00 1.899e-06 9.496e-07
System_Quality+0.1677 0.02828+5.9310e+00 1.56e-08 7.798e-09


Multiple Linear Regression - Regression Statistics
Multiple R 0.6089
R-squared 0.3708
Adjusted R-squared 0.3637
F-TEST (value) 51.86
F-TEST (DF numerator)2
F-TEST (DF denominator)176
p-value 0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation 1.566
Sum Squared Residuals 431.6


Menu of Residual Diagnostics
DescriptionLink
HistogramCompute
Central TendencyCompute
QQ PlotCompute
Kernel Density PlotCompute
Skewness/Kurtosis TestCompute
Skewness-Kurtosis PlotCompute
Harrell-Davis PlotCompute
Bootstrap Plot -- Central TendencyCompute
Blocked Bootstrap Plot -- Central TendencyCompute
(Partial) Autocorrelation PlotCompute
Spectral AnalysisCompute
Tukey lambda PPCC PlotCompute
Box-Cox Normality PlotCompute
Summary StatisticsCompute


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1 10 7.549 2.451
2 8 6.598 1.402
3 8 7.606 0.3936
4 9 9.173-0.1731
5 5 6.093-1.093
6 10 8.893 1.107
7 8 8.11-0.1096
8 9 7.887 1.113
9 8 5.422 2.578
10 7 8.613-1.613
11 10 7.717 2.283
12 10 7.437 2.563
13 9 7.942 1.058
14 4 6.038-2.038
15 4 7.549-3.549
16 8 7.829 0.1706
17 9 9.789-0.7887
18 10 7.549 2.451
19 8 8.277-0.2773
20 5 6.375-1.375
21 10 8.613 1.387
22 8 7.997 0.002912
23 7 7.158-0.1585
24 8 8.11-0.1096
25 8 10.12-2.124
26 9 7.103 1.897
27 8 7.326 0.6738
28 6 5.927 0.07282
29 8 6.823 1.177
30 8 6.488 1.512
31 5 7.772-2.772
32 9 8.615 0.3853
33 8 7.774 0.2259
34 8 6.095 1.905
35 8 7.439 0.5614
36 6 7.606-1.606
37 6 5.759 0.2405
38 9 7.101 1.899
39 8 8.165-0.1648
40 9 8.78 0.2195
41 10 7.774 2.226
42 8 7.774 0.2259
43 8 6.432 1.568
44 7 6.932 0.06841
45 7 7.494-0.4939
46 10 8.613 1.387
47 8 5.592 2.408
48 7 6.823 0.177
49 10 6.934 3.066
50 7 7.214-0.2137
51 7 6.375 0.6249
52 9 8.108 0.8924
53 9 9.284-0.2836
54 8 6.991 1.009
55 6 6.766-0.7658
56 8 6.934 1.066
57 9 7.103 1.897
58 2 4.248-2.248
59 6 6.375-0.3751
60 8 7.942 0.05817
61 8 8.5-0.5003
62 7 7.16-0.1604
63 8 5.982 2.018
64 6 5.759 0.2405
65 10 6.375 3.625
66 10 7.046 2.954
67 10 6.878 3.122
68 8 7.326 0.6738
69 8 7.549 0.4508
70 7 7.774-0.7741
71 10 10.18-0.1795
72 5 6.543-1.543
73 3 4.641-1.641
74 2 4.976-2.976
75 3 4.864-1.864
76 4 6.152-2.152
77 2 4.919-2.919
78 6 5.759 0.2405
79 8 7.942 0.05817
80 8 8.11-0.1096
81 5 7.439-2.439
82 10 7.101 2.899
83 9 8.782 0.2176
84 8 8.95-0.9501
85 9 8.557 0.4425
86 8 6.766 1.234
87 5 6.265-1.265
88 7 7.101-0.1013
89 9 9.118-0.1178
90 8 7.829 0.1706
91 4 7.662-3.662
92 7 5.254 1.746
93 8 8.502-0.5022
94 7 6.991 0.009265
95 7 5.982 1.018
96 9 7.717 1.283
97 6 7.549-1.549
98 7 7.101-0.1013
99 4 6.318-2.318
100 6 6.934-0.9335
101 10 7.717 2.283
102 9 7.829 1.171
103 10 9.173 0.8269
104 8 8.277-0.2773
105 4 6.43-2.43
106 8 9.061-1.061
107 5 7.324-2.324
108 8 7.942 0.05817
109 9 9.005-0.005379
110 8 6.598 1.402
111 4 8.388-4.388
112 8 6.768 1.232
113 10 8.78 1.22
114 6 5.424 0.576
115 7 5.927 1.073
116 10 8.277 1.723
117 9 9.118-0.1178
118 8 8.78-0.7805
119 3 6.152-3.152
120 8 5.982 2.018
121 7 7.158-0.1585
122 7 6.991 0.009265
123 8 6.207 1.793
124 8 7.774 0.2259
125 7 7.772-0.7722
126 7 7.326-0.3262
127 9 10.12-1.124
128 9 8.838 0.1623
129 9 5.59 3.41
130 4 6.43-2.43
131 6 6.934-0.9335
132 6 6.318-0.3179
133 6 5.199 0.8009
134 8 7.214 0.7863
135 3 5.087-2.087
136 8 6.598 1.402
137 8 7.772 0.2278
138 6 5.367 0.6332
139 10 8.333 1.667
140 2 6.598-4.598
141 9 8.11 0.8904
142 6 6.43-0.4304
143 6 8.052-2.052
144 5 5.649-0.6489
145 4 4.864-0.8636
146 7 7.439-0.4386
147 5 6.318-1.318
148 8 8.39-0.3897
149 6 8.333-2.333
150 9 6.991 2.009
151 6 7.439-1.439
152 4 6.488-2.488
153 7 7.774-0.7741
154 2 4.246-2.246
155 8 7.885 0.1154
156 9 8.222 0.778
157 6 6.878-0.8783
158 5 4.751 0.2488
159 7 7.158-0.1585
160 8 6.768 1.232
161 4 6.43-2.43
162 9 7.046 1.954
163 9 9.286-0.2856
164 9 7.604 1.396
165 7 6.428 0.5716
166 5 6.43-1.43
167 7 8.95-1.95
168 9 10.12-1.124
169 8 7.437 0.5633
170 6 6.488-0.4876
171 9 7.101 1.899
172 8 7.494 0.5061
173 7 8.22-1.22
174 7 6.43 0.5696
175 7 7.267-0.267
176 8 7.942 0.05817
177 10 8.725 1.275
178 6 8.277-2.277
179 6 7.271-1.271


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
6 0.5975 0.8051 0.4025
7 0.4764 0.9528 0.5236
8 0.3327 0.6653 0.6673
9 0.3542 0.7085 0.6458
10 0.3628 0.7257 0.6372
11 0.4503 0.9007 0.5497
12 0.5054 0.9891 0.4946
13 0.4121 0.8242 0.5879
14 0.6787 0.6425 0.3213
15 0.9195 0.161 0.08049
16 0.8861 0.2279 0.1139
17 0.8524 0.2951 0.1476
18 0.8778 0.2444 0.1222
19 0.8416 0.3168 0.1584
20 0.8571 0.2858 0.1429
21 0.8335 0.3331 0.1665
22 0.7898 0.4203 0.2102
23 0.7404 0.5192 0.2596
24 0.6865 0.627 0.3135
25 0.723 0.5539 0.277
26 0.7184 0.5632 0.2816
27 0.6659 0.6682 0.3341
28 0.6194 0.7613 0.3806
29 0.5723 0.8553 0.4277
30 0.5313 0.9374 0.4687
31 0.6324 0.7353 0.3676
32 0.578 0.8439 0.4219
33 0.5221 0.9557 0.4779
34 0.4992 0.9985 0.5008
35 0.4454 0.8908 0.5546
36 0.4846 0.9692 0.5154
37 0.4437 0.8874 0.5563
38 0.4574 0.9148 0.5426
39 0.4047 0.8093 0.5953
40 0.3577 0.7153 0.6423
41 0.3875 0.7749 0.6125
42 0.3392 0.6783 0.6608
43 0.3074 0.6149 0.6926
44 0.2642 0.5285 0.7358
45 0.2351 0.4702 0.7649
46 0.2324 0.4647 0.7676
47 0.2381 0.4762 0.7619
48 0.2073 0.4146 0.7927
49 0.2977 0.5954 0.7023
50 0.2631 0.5263 0.7369
51 0.2294 0.4587 0.7706
52 0.2088 0.4175 0.7912
53 0.1759 0.3518 0.8241
54 0.1518 0.3037 0.8482
55 0.1431 0.2861 0.8569
56 0.1243 0.2485 0.8757
57 0.123 0.246 0.877
58 0.2264 0.4528 0.7736
59 0.2045 0.409 0.7955
60 0.1742 0.3484 0.8258
61 0.1491 0.2982 0.8509
62 0.1317 0.2633 0.8683
63 0.1385 0.277 0.8615
64 0.1177 0.2354 0.8823
65 0.2238 0.4477 0.7762
66 0.3068 0.6135 0.6932
67 0.4165 0.8329 0.5835
68 0.3805 0.761 0.6195
69 0.3417 0.6835 0.6583
70 0.3207 0.6413 0.6793
71 0.2823 0.5646 0.7177
72 0.3072 0.6145 0.6928
73 0.3529 0.7057 0.6471
74 0.5035 0.9929 0.4965
75 0.5348 0.9305 0.4652
76 0.5828 0.8345 0.4172
77 0.6873 0.6255 0.3127
78 0.649 0.7019 0.351
79 0.6097 0.7806 0.3903
80 0.5698 0.8604 0.4302
81 0.6348 0.7305 0.3652
82 0.7257 0.5485 0.2743
83 0.6908 0.6183 0.3092
84 0.6681 0.6638 0.3319
85 0.6327 0.7346 0.3673
86 0.6171 0.7659 0.3829
87 0.6011 0.7977 0.3989
88 0.5609 0.8782 0.4391
89 0.5195 0.961 0.4805
90 0.4785 0.957 0.5215
91 0.6668 0.6663 0.3332
92 0.6758 0.6484 0.3242
93 0.6398 0.7204 0.3602
94 0.5991 0.8018 0.4009
95 0.5761 0.8478 0.4239
96 0.5648 0.8704 0.4352
97 0.5646 0.8708 0.4354
98 0.5234 0.9531 0.4766
99 0.5736 0.8527 0.4264
100 0.5457 0.9086 0.4543
101 0.5997 0.8007 0.4003
102 0.5854 0.8293 0.4146
103 0.5592 0.8817 0.4408
104 0.5178 0.9644 0.4822
105 0.5752 0.8495 0.4248
106 0.5491 0.9018 0.4509
107 0.595 0.81 0.405
108 0.5528 0.8944 0.4472
109 0.5102 0.9797 0.4898
110 0.5054 0.9893 0.4946
111 0.7716 0.4568 0.2284
112 0.766 0.468 0.234
113 0.7563 0.4874 0.2437
114 0.7287 0.5425 0.2713
115 0.7155 0.569 0.2845
116 0.7336 0.5327 0.2664
117 0.6969 0.6062 0.3031
118 0.6633 0.6734 0.3367
119 0.7642 0.4716 0.2358
120 0.7959 0.4082 0.2041
121 0.7618 0.4764 0.2382
122 0.7253 0.5493 0.2747
123 0.7541 0.4917 0.2459
124 0.72 0.5599 0.28
125 0.6872 0.6256 0.3128
126 0.6447 0.7105 0.3553
127 0.6169 0.7663 0.3831
128 0.574 0.8521 0.426
129 0.7701 0.4598 0.2299
130 0.8056 0.3887 0.1944
131 0.7782 0.4436 0.2218
132 0.7401 0.5198 0.2599
133 0.7255 0.5489 0.2745
134 0.7031 0.5938 0.2969
135 0.7148 0.5704 0.2852
136 0.726 0.5479 0.274
137 0.6846 0.6308 0.3154
138 0.6631 0.6739 0.3369
139 0.6895 0.6209 0.3105
140 0.9256 0.1488 0.07438
141 0.9192 0.1615 0.08076
142 0.8964 0.2071 0.1036
143 0.9092 0.1816 0.09081
144 0.8844 0.2313 0.1156
145 0.857 0.2859 0.143
146 0.8218 0.3564 0.1782
147 0.8018 0.3964 0.1982
148 0.7579 0.4842 0.2421
149 0.8083 0.3834 0.1917
150 0.8703 0.2594 0.1297
151 0.852 0.2961 0.148
152 0.8852 0.2296 0.1148
153 0.8554 0.2892 0.1446
154 0.9138 0.1724 0.08618
155 0.8833 0.2334 0.1167
156 0.8703 0.2594 0.1297
157 0.8419 0.3162 0.1581
158 0.7948 0.4104 0.2052
159 0.7372 0.5257 0.2628
160 0.7506 0.4988 0.2494
161 0.8569 0.2862 0.1431
162 0.8986 0.2028 0.1014
163 0.8659 0.2683 0.1341
164 0.8623 0.2753 0.1377
165 0.8039 0.3923 0.1961
166 0.819 0.3619 0.181
167 0.7849 0.4301 0.2151
168 0.6993 0.6015 0.3007
169 0.6067 0.7865 0.3933
170 0.5131 0.9738 0.4869
171 0.5806 0.8388 0.4194
172 0.4746 0.9492 0.5254
173 0.3537 0.7074 0.6463


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level0 0OK
5% type I error level00OK
10% type I error level00OK


Ramsey RESET F-Test for powers (2 and 3) of fitted values
> reset_test_fitted
	RESET test
data:  mylm
RESET = 5.2468, df1 = 2, df2 = 174, p-value = 0.006129
Ramsey RESET F-Test for powers (2 and 3) of regressors
> reset_test_regressors
	RESET test
data:  mylm
RESET = 3.2213, df1 = 4, df2 = 172, p-value = 0.01401
Ramsey RESET F-Test for powers (2 and 3) of principal components
> reset_test_principal_components
	RESET test
data:  mylm
RESET = 6.0918, df1 = 2, df2 = 174, p-value = 0.002773


Variance Inflation Factors (Multicollinearity)
> vif
Perceived_Usefulness       System_Quality 
            1.226313             1.226313