Results
Linear Regression
| Model Fit Measures |
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| Model | R | R² |
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| 1 | | 0.455 | | 0.207 | |
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| Model Coefficients - y1 |
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| Predictor | Estimate | SE | t | p |
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| Intercept | | 0.809 | | 0.155 | | 5.230 | | < .001 | |
| x | | 0.782 | | 0.155 | | 5.057 | | < .001 | |
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Assumption Checks
| Normality Tests |
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| | Statistic | p |
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| Shapiro-Wilk | | 0.979 | | 0.118 | |
| Kolmogorov-Smirnov | | 0.110 | | 0.174 | |
| Anderson-Darling | | 0.949 | | 0.016 | |
| Note. Additional results provided by moretests |
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| Heteroskedasticity Tests |
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| | Statistic | p |
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| Breusch-Pagan | | 15.971 | | < .001 | |
| Goldfeld-Quandt | | 1.041 | | 0.444 | |
| Harrison-McCabe | | 0.490 | | 0.442 | |
| Note. Additional results provided by moretests |
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Linear Regression
| Model Fit Measures |
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| Model | R | R² |
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| 1 | | 0.777 | | 0.603 | |
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| Model Coefficients - y2 |
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| Predictor | Estimate | SE | t | p |
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| Intercept | | 0.921 | | 0.094 | | 9.810 | | < .001 | |
| x | | 1.145 | | 0.094 | | 12.200 | | < .001 | |
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Assumption Checks
| Normality Tests |
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| | Statistic | p |
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| Shapiro-Wilk | | 0.992 | | 0.836 | |
| Kolmogorov-Smirnov | | 0.057 | | 0.897 | |
| Anderson-Darling | | 0.346 | | 0.476 | |
| Note. Additional results provided by moretests |
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| Heteroskedasticity Tests |
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| | Statistic | p |
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| Breusch-Pagan | | 0.569 | | 0.451 | |
| Goldfeld-Quandt | | 0.843 | | 0.722 | |
| Harrison-McCabe | | 0.540 | | 0.710 | |
| Note. Additional results provided by moretests |
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R
studentized Breusch-Pagan test
data: y1 ~ x
BP = 16, df = 1, p-value = 6e-05
Goldfeld-Quandt test
data: y1 ~ x
GQ = 1, df1 = 48, df2 = 48, p-value = 0.4
alternative hypothesis: variance increases from segment 1 to 2
studentized Breusch-Pagan test
data: y2 ~ x
BP = 0.57, df = 1, p-value = 0.5
Goldfeld-Quandt test
data: y2 ~ x
GQ = 0.84, df1 = 48, df2 = 48, p-value = 0.7
alternative hypothesis: variance increases from segment 1 to 2
studentized Breusch-Pagan test
data: y1 ~ x
BP = 16, df = 1, p-value = 6e-05
Goldfeld-Quandt test
data: y1 ~ x
GQ = 1, df1 = 48, df2 = 48, p-value = 0.4
alternative hypothesis: variance increases from segment 1 to 2
studentized Breusch-Pagan test
data: y2 ~ x
BP = 0.57, df = 1, p-value = 0.5
Goldfeld-Quandt test
data: y2 ~ x
GQ = 0.84, df1 = 48, df2 = 48, p-value = 0.7
alternative hypothesis: variance increases from segment 1 to 2