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WHAT FACTORS AFFECT
PORTUGAL’S EMIGRATION?
PROGRAMMING TECHNIQUES | PROFESSOR CARLOS COSTA | DECEMBER, 2019
GROUP 3 | CATARINA COTOVIO, GIL AZEVEDO, MAFALDA COELHO, MARIA RITA CARRIÇO
SUMMARY
Portugal’s
background
on emigration
1 Multiple
Linear
Regression
How to do it
on Python?
2 Regression
analysis
3 Conclusions
4
PORTUGAL’S BACKGROUND ON
EMIGRATION
“Portugal is the European country with
the second highest emigration rate”
World war II: emigration as a constant state
Decades 60-70: emigration increased really fast
1974 revolution: emigration decreased
1986, Portugal joined Euro: emigration increases
really fast, again
2008 crisis: emigration interrupted
2010: emigration increases with more strength
2013: stabilizes
PORTUGAL’S BACKGROUND ON
EMIGRATION
MULTIPLE LINEAR REGRESSION
Coefficient
([ 2.66350127e+05, 3.05815438e-03, 4.17695399e-04, -9.22468404e+05, -1.76811502e-03,
9.57573266e+01, 1.40755269e+05])
As result we verify that the emigration rate increases with all variables execept for family benefits
public spending deflated.
Lm score
0.9604802529407912
The score obtained is high although the model shows a strong correlation between variables.
MULTIPLE LINEAR REGRESSION
MULTIPLE
LINEAR
REGRESSION
To solve this problem we’ll exclude from
the model the following variables:
• GDP (basis=2016) (thousands of euros)
• GDP deflators (basis=2016)
• Family benefits public spending (% of
GDP)
• Family benefits public spending
(thousands of euros)
New coefficient
array([-9.90056585e-05, 7.04728569e+01, 2.33275461e+04])
NEW MULTIPLE LINEAR REGRESSION
Portugal’s
Emigration Rate
Number of Unemployed Individuals
Ageing Index
Family Benefits Public Spending
New lm score
0.8250423067377275
F-critical value = 19,45 < F-value = 31.44
Individual
significance
(P-value)
Overall significance
(F-statistic)
NEW MULTIPLE LINEAR REGRESSION
NEW
MULTIPLE
LINEAR
REGRESSION
CONCLUSIONS
Individual significance Correlation analysis
Number of Unemployed
Individuals
Significant 0,89
Family Benefits Public
Spending
Significant 0,32
Ageing Index Not Significant 0,71
Empirical analysis/results showed evidences for the Publico statement to be correct.

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What factors affect Portugal's emigration?

  • 1. WHAT FACTORS AFFECT PORTUGAL’S EMIGRATION? PROGRAMMING TECHNIQUES | PROFESSOR CARLOS COSTA | DECEMBER, 2019 GROUP 3 | CATARINA COTOVIO, GIL AZEVEDO, MAFALDA COELHO, MARIA RITA CARRIÇO
  • 2. SUMMARY Portugal’s background on emigration 1 Multiple Linear Regression How to do it on Python? 2 Regression analysis 3 Conclusions 4
  • 3. PORTUGAL’S BACKGROUND ON EMIGRATION “Portugal is the European country with the second highest emigration rate”
  • 4. World war II: emigration as a constant state Decades 60-70: emigration increased really fast 1974 revolution: emigration decreased 1986, Portugal joined Euro: emigration increases really fast, again 2008 crisis: emigration interrupted 2010: emigration increases with more strength 2013: stabilizes PORTUGAL’S BACKGROUND ON EMIGRATION
  • 5. MULTIPLE LINEAR REGRESSION Coefficient ([ 2.66350127e+05, 3.05815438e-03, 4.17695399e-04, -9.22468404e+05, -1.76811502e-03, 9.57573266e+01, 1.40755269e+05]) As result we verify that the emigration rate increases with all variables execept for family benefits public spending deflated. Lm score 0.9604802529407912 The score obtained is high although the model shows a strong correlation between variables.
  • 7. MULTIPLE LINEAR REGRESSION To solve this problem we’ll exclude from the model the following variables: • GDP (basis=2016) (thousands of euros) • GDP deflators (basis=2016) • Family benefits public spending (% of GDP) • Family benefits public spending (thousands of euros)
  • 8. New coefficient array([-9.90056585e-05, 7.04728569e+01, 2.33275461e+04]) NEW MULTIPLE LINEAR REGRESSION Portugal’s Emigration Rate Number of Unemployed Individuals Ageing Index Family Benefits Public Spending New lm score 0.8250423067377275 F-critical value = 19,45 < F-value = 31.44 Individual significance (P-value) Overall significance (F-statistic)
  • 9. NEW MULTIPLE LINEAR REGRESSION
  • 11. CONCLUSIONS Individual significance Correlation analysis Number of Unemployed Individuals Significant 0,89 Family Benefits Public Spending Significant 0,32 Ageing Index Not Significant 0,71 Empirical analysis/results showed evidences for the Publico statement to be correct.

Editor's Notes

  1. F-statistic=[RSS1-RSS2)/(p2-p1)]/[RSS2/(n-p2)] Onde p2 é o nº de regressores no modelo não restrito, p1 nº de regressores no modelo restrito e n o nº de observações graus de Liberdade(p2-p1,n-p2)=(3-1,24-3)=(2,21) Valor critico(20,2)=19,45