Analysis
[1] "景気動向指数個別系列:一致系列:商業販売額(小売業)(前年同月比)(%):内閣府"
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
1999 -1.4
2000 -1.7 0.1 -3.3 -3.3 -2.3 -0.9 -0.4 -0.9 -1.2 -2.1 -0.8 -0.8
2001 1.4 -0.5 1.7 -1.2 -1.3 -2.1 -2.6 -3.4 -2.1 -4.3 -2.4 -5.2
2002 -4.2 -5.9 -4.9 -4.1 -2.8 -3.1 -5.1 -1.6 -2.3 -2.1 -1.2 -2.2
2003 -1.3 1.0 0.4 -1.1 -0.3 -0.1 -0.7 0.2 0.3 2.4 -1.1 1.7
2004 3.3 4.1 0.6 1.1 -0.4 -0.9 2.6 -0.4 0.7 -0.1 1.2 -0.5
2005 2.6 -3.0 -0.2 3.5 2.6 2.8 0.3 1.3 -0.1 -0.6 0.4 1.1
2006 -0.5 1.1 1.0 -0.9 0.0 0.1 -0.2 0.8 0.5 -0.2 -0.4 -0.3
2007 -1.0 -0.2 -0.6 0.1 0.8 0.3 -1.5 1.2 1.2 1.5 2.1 0.8
2008 1.9 3.5 1.6 -0.1 0.3 0.3 2.1 0.7 -0.3 -0.6 -0.7 -2.6
2009 -2.0 -5.4 -3.6 -2.7 -2.7 -3.0 -2.5 -1.7 -1.3 -1.0 -1.2 -0.3
2010 2.0 3.9 4.5 4.6 2.8 3.3 4.3 4.6 1.9 0.6 2.1 -1.9
2011 0.3 0.4 -8.0 -3.9 -0.4 1.9 0.9 -2.4 -1.5 1.4 -2.3 2.5
2012 1.6 3.1 9.3 5.0 3.0 -0.2 -1.3 1.3 0.4 -1.2 0.9 0.2
2013 -1.1 -2.2 -0.3 -0.2 0.8 1.6 -0.3 1.1 3.0 2.4 4.1 2.5
2014 4.4 3.6 11.0 -4.3 -0.4 -0.6 0.6 1.2 2.3 1.4 0.5 0.1
2015 -2.0 -1.7 -9.7 4.9 3.0 1.0 1.8 0.8 -0.1 1.8 -1.1 -1.1
2016 -0.2 0.4 -1.0 -0.9 -2.1 -1.3 -0.2 -2.2 -1.7 -0.2 1.7 0.7
2017 1.0 0.2 2.1 3.2 2.1 2.2 1.8 1.8 2.3 -0.2 2.1 3.6
2018 1.5 1.7 1.0 1.5 0.6 1.7 1.5 2.7 2.2 3.6 1.4 1.3
2019 0.6 0.6 1.0 0.4 1.3 0.5 -2.0 1.8 9.2
Call:
lm(formula = value ~ ID)
Residuals:
Min 1Q Median 3Q Max
-9.0954 -1.8064 0.1945 1.8046 8.4385
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 1.44629 0.97837 1.478 0.148
ID -0.01949 0.04263 -0.457 0.650
Residual standard error: 2.996 on 37 degrees of freedom
Multiple R-squared: 0.005619, Adjusted R-squared: -0.02126
F-statistic: 0.2091 on 1 and 37 DF, p-value: 0.6502
Two-sample Kolmogorov-Smirnov test
data: lm_residuals and rnorm(n = length(lm_residuals), mean = 0, sd = sd(lm_residuals))
D = 0.17949, p-value = 0.5622
alternative hypothesis: two-sided
Durbin-Watson test
data: value ~ ID
DW = 0.90326, p-value = 0.00003831
alternative hypothesis: true autocorrelation is greater than 0
studentized Breusch-Pagan test
data: value ~ ID
BP = 0.0084302, df = 1, p-value = 0.9268
Box-Ljung test
data: lm_residuals
X-squared = 12.232, df = 1, p-value = 0.0004699
Call:
lm(formula = value ~ ID)
Residuals:
Min 1Q Median 3Q Max
-10.4747 -1.0394 -0.0665 0.9711 10.3876
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.40938 0.56598 0.723 0.472
ID 0.01353 0.01199 1.128 0.263
Residual standard error: 2.523 on 79 degrees of freedom
Multiple R-squared: 0.01586, Adjusted R-squared: 0.003406
F-statistic: 1.273 on 1 and 79 DF, p-value: 0.2625
Two-sample Kolmogorov-Smirnov test
data: lm_residuals and rnorm(n = length(lm_residuals), mean = 0, sd = sd(lm_residuals))
D = 0.22222, p-value = 0.03633
alternative hypothesis: two-sided
Durbin-Watson test
data: value ~ ID
DW = 1.5312, p-value = 0.01181
alternative hypothesis: true autocorrelation is greater than 0
studentized Breusch-Pagan test
data: value ~ ID
BP = 1.1294, df = 1, p-value = 0.2879
Box-Ljung test
data: lm_residuals
X-squared = 2.5215, df = 1, p-value = 0.1123
Call:
lm(formula = value ~ ID)
Residuals:
Min 1Q Median 3Q Max
-8.3579 -2.1298 -0.0825 1.7953 8.5673
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.73530 0.74752 -0.984 0.329
ID 0.03123 0.02167 1.441 0.155
Residual standard error: 2.834 on 57 degrees of freedom
Multiple R-squared: 0.03516, Adjusted R-squared: 0.01824
F-statistic: 2.077 on 1 and 57 DF, p-value: 0.155
Two-sample Kolmogorov-Smirnov test
data: lm_residuals and rnorm(n = length(lm_residuals), mean = 0, sd = sd(lm_residuals))
D = 0.15254, p-value = 0.5021
alternative hypothesis: two-sided
Durbin-Watson test
data: value ~ ID
DW = 0.7287, p-value = 0.000000005786
alternative hypothesis: true autocorrelation is greater than 0
studentized Breusch-Pagan test
data: value ~ ID
BP = 0.38366, df = 1, p-value = 0.5357
Box-Ljung test
data: lm_residuals
X-squared = 24.815, df = 1, p-value = 0.0000006309
Call:
lm(formula = value ~ ID)
Residuals:
Min 1Q Median 3Q Max
-10.6159 -1.0617 0.0305 0.9239 10.1859
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.712321 0.581688 1.225 0.225
ID 0.008484 0.012794 0.663 0.509
Residual standard error: 2.544 on 76 degrees of freedom
Multiple R-squared: 0.005753, Adjusted R-squared: -0.00733
F-statistic: 0.4397 on 1 and 76 DF, p-value: 0.5093
Two-sample Kolmogorov-Smirnov test
data: lm_residuals and rnorm(n = length(lm_residuals), mean = 0, sd = sd(lm_residuals))
D = 0.15385, p-value = 0.316
alternative hypothesis: two-sided
Durbin-Watson test
data: value ~ ID
DW = 1.5564, p-value = 0.01744
alternative hypothesis: true autocorrelation is greater than 0
studentized Breusch-Pagan test
data: value ~ ID
BP = 1.2818, df = 1, p-value = 0.2576
Box-Ljung test
data: lm_residuals
X-squared = 2.041, df = 1, p-value = 0.1531