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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 41RE: For the following exercises, consider the data in Table 5, which shows the percent of unemployed in...
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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

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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)

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