Hello, The following data was collected for the country Spain for the years 2007-1993. Using the data I estimated the regression equation was to be: Net Migration Rate=−6.439×10−6×Unemployment+9.036×10−5×Wages+0.04062×Life Expectancy−6.439 From the data given: (i) Please confirm if the estimated regression equation is correct, Interpret the coefficients and determine which of the individual coefficients in the regression model are statistically significant. In responding, construct and test any appropriate hypothesis (ii) Interpret the coefficient of determination Year Net Migration Rate Total Fertility unemployment General Level Wages Life Expectancy at Birth 2007 -2.855 2.4212 1505.196 4716 74.2384 2006 -2.917 2.456 1377.701 4426 74.3313 2005 -3.012 2.4947 1482.492 4174 74.3765 2004 -2.602 2.5362 1539.752 3970 74.372 2003 -3.24 2.5793 1195.613 3797 74.2743 2002 -3.207 2.6235 1145.57 3554 74.1059 2001 -3.499 2.6689 996.132 3320 73.8668 2000 -3.635 2.7162 998.892 2938 73.5692 1999 -3.475 2.7663 954.206 2385 73.2249 1998 -3.192 2.8004 1372.644 2049 72.8448 1997 -3.348 2.8687 1517.434 1745 72.4454 1996 -3.497 2.9558 1885.653 1438 72.0369 1995 -3.483 3.0376 2405.099 1274 71.6457 1994 -3.13 3.1271 0 0 71.2787 1993 -3.645 3.2163 819.132 1044 70.9423
Hello,
The following data was collected for the country Spain for the years 2007-1993.
Using the data I estimated the regression equation was to be:
Net Migration Rate=−6.439×10−6×Unemployment+9.036×10−5×Wages+0.04062×Life Expectancy−6.439
From the data given:
(i) Please confirm if the estimated regression equation is correct, Interpret the coefficients and determine which of the individual coefficients in the regression model are statistically significant. In responding, construct and test any appropriate hypothesis
(ii) Interpret the coefficient of determination
Year |
Net Migration Rate |
Total Fertility |
unemployment General Level |
Wages |
Life Expectancy at Birth |
2007 |
-2.855 |
2.4212 |
1505.196 |
4716 |
74.2384 |
2006 |
-2.917 |
2.456 |
1377.701 |
4426 |
74.3313 |
2005 |
-3.012 |
2.4947 |
1482.492 |
4174 |
74.3765 |
2004 |
-2.602 |
2.5362 |
1539.752 |
3970 |
74.372 |
2003 |
-3.24 |
2.5793 |
1195.613 |
3797 |
74.2743 |
2002 |
-3.207 |
2.6235 |
1145.57 |
3554 |
74.1059 |
2001 |
-3.499 |
2.6689 |
996.132 |
3320 |
73.8668 |
2000 |
-3.635 |
2.7162 |
998.892 |
2938 |
73.5692 |
1999 |
-3.475 |
2.7663 |
954.206 |
2385 |
73.2249 |
1998 |
-3.192 |
2.8004 |
1372.644 |
2049 |
72.8448 |
1997 |
-3.348 |
2.8687 |
1517.434 |
1745 |
72.4454 |
1996 |
-3.497 |
2.9558 |
1885.653 |
1438 |
72.0369 |
1995 |
-3.483 |
3.0376 |
2405.099 |
1274 |
71.6457 |
1994 |
-3.13 |
3.1271 |
0 |
0 |
71.2787 |
1993 |
-3.645 |
3.2163 |
819.132 |
1044 |
70.9423 |
Step by step
Solved in 6 steps with 4 images
To follow up on the given regression equation and data package.
a. I noticed the values I calculated vs yours are off slightly due to being rounded up, does it give the data a different interpretation?
b. Using the 10% level of significance, determine and discuss whether the overall
regression equation is statistically significant. In responding, construct and test
any appropriate hypothesis.
c. Determine and interpret the confidence interval for the independent variable(s)