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Regression Analysis - Square root-X model: Y = a + b*sqrt(X) (1 интервал)
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Dependent variable: U1
Independent variable: t
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Standard T
Parameter Estimate Error Statistic P-Value
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Intercept 1,89637 0,288399 6,57552 0,0000
Slope 1,20226 0,101964 11,7909 0,0000
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Analysis of Variance
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Source Sum of Squares Df Mean Square F-Ratio P-Value
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Model 15,6341 1 15,6341 139,03 0,0000
Residual 1,4619 13 0,112454
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Total (Corr.) 17,096 14
Correlation Coefficient = 0,956289
R-squared = 91,4489 percent
Standard Error of Est. = 0,335342
U1 = 1,89637 + 1,20226*sqrt(t)
Regression Analysis - Square root-X model: Y = a + b*sqrt(X) (2 интервал)
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Dependent variable: U2
Independent variable: t
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Standard T
Parameter Estimate Error Statistic P-Value
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Intercept 8,40478 0,680225 12,3559 0,0000
Slope -1,17303 0,240496 -4,87756 0,0003
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Analysis of Variance
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Source Sum of Squares Df Mean Square F-Ratio P-Value
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Model 14,8833 1 14,8833 23,79 0,0003
Residual 8,13272 13 0,625594
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Total (Corr.) 23,016 14
Correlation Coefficient = -0,804145
R-squared = 64,6649 percent
Standard Error of Est. = 0,790945
U2 = 8,40478 - 1,17303*sqrt(t)
Средняя ставка налогообложения
Comparison of Alternative Models
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Model Correlation R-Squared
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Square root-X -0,9440 89,11%
Logarithmic-X -0,9292 86,34%
Log probit -0,9279 86,10%
Multiplicative -0,9268 85,89%
Reciprocal-Y 0,9166 84,01%
Exponential -0,9152 83,76%
Logistic -0,9147 83,67%
Square root-Y -0,9144 83,62%
Linear -0,9137 83,48%
Reciprocal-X 0,7096 50,35%
S-curve 0,7044 49,62%
Double reciprocal -0,6992 48,89%
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Regression Analysis - Square root-X model: Y = a + b*sqrt(X)
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Dependent variable: _Tr
Independent variable: t
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Standard T
Parameter Estimate Error Statistic P-Value
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Intercept 0,255168 0,00145539 175,326 0,0000
Slope -0,00559674 0,00036967 -15,1398 0,0000
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Analysis of Variance
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Source Sum of Squares Df Mean Square F-Ratio P-Value
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Model 0,00144864 1 0,00144864 229,21 0,0000
Residual 0,000176961 280,00000632005
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Total (Corr.) 0,0016256 29
Correlation Coefficient = -0,944003
R-squared = 89,1141 percent
Standard Error of Est. = 0,00251397
Tr = 0,255168 - 0,00559674*sqrt(t)
Приложение 3.