x 2 , x 3, . x n are independent/explanatory variables
E is a “noise” factor.
There were only land use areas, number of inhabitants and ratios of the number
of inhabitants and land use areas which were applied in the multi linear regression.
The regression was processed separately for individual groups of cities.
Tables 5.5, 5.6, and 5.7 show some of the resulting values of the regression. The
values in the regression result tables are:
• R
2 is a coefficient of determination. It shows what percentage of the dependent
variable is explained by the model.
• t-statistic is the ratio of the estimated value of the regression and standard error
of the coefficient
• P-value, called also significance level, is the probability of obtaining a test
statistic at least as extreme as the one that was actually observed, assuming
Table 5.6 Results of multiple linear regression analysis for medium cities before and after 1990
Indicator
Std. error
t-stat
P-value
Transport areas 70-90
4.917899915 À1.430615699 0.38837265
90-05
10.12631679
À2.254593704 0.265768316
Residential areas 70-90
31.09119476
À1.771237807 0.327200782
90-05
41.83472391
3.114846718 0.197765202
Other areas 70-90
0.470168635 À2.204974981 0.271058188
90-05
1.555199034 À0.412508925 0.750926839
Recreational areas 70-90
0.547781888 À3.779889992 0.164650661
90-05
0.628239138 À1.503790647 0.373592857
Production areas 70-90
12.36180238
1.828703984 0.31857109
90-05
37.53990291
2.052132608 0.288665321
Number of inhabitants 70-90
0.514347275
1.807619885 0.321688528
90-05
0.703811916 À2.787696006 0.219265371
Population growth 70-90
3.084603385 À2.25270524
0.265966087
90-05
5.833536804
1.172736585 0.449493778
Number of inhabitants/traffic area 70-90
0.828696907 À3.463182379 0.178957402
90-05
3.34419677
À2.500000411 0.242237847
Number of inhabitants/production area
70-90
16.29315569
1.906977699 0.307467405
90-05
33.8839719
1.578108941 0.359568902
Number of inhabitants/residential area
70-90
237.6857397
À1.755190986 0.329687036
90-05
286.1630563
3.073065201 0.200281138
Number of inhabitants/administrative area
70-90
237.214962
À0.066127463 0.957963152
90-05
228.2258806
À2.326113909 0.258477162
R
2 value: 70-90: 0.98585041
R
2 value: 90-05: 0.95922436
102
L. Halounova ´ and V. Holubec
E is a “noise” factor.
There were only land use areas, number of inhabitants and ratios of the number
of inhabitants and land use areas which were applied in the multi linear regression.
The regression was processed separately for individual groups of cities.
Tables 5.5, 5.6, and 5.7 show some of the resulting values of the regression. The
values in the regression result tables are:
• R
2 is a coefficient of determination. It shows what percentage of the dependent
variable is explained by the model.
• t-statistic is the ratio of the estimated value of the regression and standard error
of the coefficient
• P-value, called also significance level, is the probability of obtaining a test
statistic at least as extreme as the one that was actually observed, assuming
Table 5.6 Results of multiple linear regression analysis for medium cities before and after 1990
Indicator
Std. error
t-stat
P-value
Transport areas 70-90
4.917899915 À1.430615699 0.38837265
90-05
10.12631679
À2.254593704 0.265768316
Residential areas 70-90
31.09119476
À1.771237807 0.327200782
90-05
41.83472391
3.114846718 0.197765202
Other areas 70-90
0.470168635 À2.204974981 0.271058188
90-05
1.555199034 À0.412508925 0.750926839
Recreational areas 70-90
0.547781888 À3.779889992 0.164650661
90-05
0.628239138 À1.503790647 0.373592857
Production areas 70-90
12.36180238
1.828703984 0.31857109
90-05
37.53990291
2.052132608 0.288665321
Number of inhabitants 70-90
0.514347275
1.807619885 0.321688528
90-05
0.703811916 À2.787696006 0.219265371
Population growth 70-90
3.084603385 À2.25270524
0.265966087
90-05
5.833536804
1.172736585 0.449493778
Number of inhabitants/traffic area 70-90
0.828696907 À3.463182379 0.178957402
90-05
3.34419677
À2.500000411 0.242237847
Number of inhabitants/production area
70-90
16.29315569
1.906977699 0.307467405
90-05
33.8839719
1.578108941 0.359568902
Number of inhabitants/residential area
70-90
237.6857397
À1.755190986 0.329687036
90-05
286.1630563
3.073065201 0.200281138
Number of inhabitants/administrative area
70-90
237.214962
À0.066127463 0.957963152
90-05
228.2258806
À2.326113909 0.258477162
R
2 value: 70-90: 0.98585041
R
2 value: 90-05: 0.95922436
102
L. Halounova ´ and V. Holubec