Question

GNP=-11093.17-140.74(birth rate)+317.74(life expectancy female)

-In a certain country, the birth rate is 29 live births per thousand in the population and the female life expectancy is 61. What is the predicted GNP for this country?

-Suppose the country in number 3 had an observed GNP of 5117. Calculate the residual for this country.

Answer #1

Given regression equation is,

GNP=-11093.17-140.74(birth rate)+317.74(life expectancy female)

We want to predict GNP for birth rate = 29 and female life expectancy = 61

GNP = -11093.17 - (140.74 * 29) + (317.74 * 61)

=> GNP = -11093.17 - 4081.46 + 19382.14

=> GNP = 4207.51

Therefore, predicted GNP for this country is
**4207.51**

Suppose the country in number 3 had an observed GNP of 5117

Then residual for this country is,

Residual = Observed GNP - Predicted GNP

=> Residual = 5117 - 4207.51

=> Residual = **909.49**

Country
Life expectancy (years)
Infant mortality (deaths per 1,000 live births)
1
58
105
2
57
106
3
60
64
4
57
66
5
58
70
6
63
56
7
61
45
8
65
30
9
62
49
10
66
42
11
64
28
12
79
10
13
72
6
14
79
4
15
80
4
16
75
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stork pairs(102)
birth rate (104/year)
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1
8
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3
9
Greece
25
11
Portugal
15
12
Romania
50
35
Spain
80
45
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Country
%GDP
LE
IMR
Country
%GDP
LE
IMR
Australia
9.8
82
3.8
Japan
9.6
82.7
2.3
Austria
10.8
81.1
3.6
Korea
7.4
81.1
3
Belgium
10.5
80.5
3.3
Luxembourg
8.2
81.1
4.3
Canada
11.2
81
4.9
Mexico
6.2
74.2
13.6
Chile
7.5
78.3
7.4
Netherlands
11.9
81.3
3.6
Czech Republic
7.5
78
2.7
New Zeland
10.3
81.2
5.5
Denmark
11.1
79.9
3.6
Norway
9.3
81.4
2.4
Estonia
5.9
76.3
2.5
Poland
6.9
76.9
4.7
Finland
9
80.6
2.4
Portugal
10.2...

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