The following compares the infant mortality rate R
egion Infant Mortality Rate Life Expectancy
(number of deaths before age of 5 per 1000 births) vs
Sub Saharan Africa 64 57
life expectancy by regions of the world. Data source:
North Africa 29 71
Population Reference Bureau 2015
North America 6 79
South America 18 76
SE Asia 28 71
E Asia 11 76
S Asia 45 68
Europe 6 78
a)
Oceania 22 77
y = -0.3494x + 81.445
mortality rate vs Life ExpectancyR² = 0.9325Infant
85
80
75
70
65
60
55
e Expectancy
50Lif
45
40
010203040506070
Infant Mortality Rate
b) Slope: Life Expectancy decreases by .35 years for every 1 person increase in infant mortality.
c) Correlation Coefficient: r = -.9657
d) Coefficient of Determination: r2 = .9325. About 93.25% of the variation in life expectancy can be
explained by the model, and the remaining 6.75% is unexplained due to chance, sampling error and
other factors.
e) For a 95% prediction interval use x = 15 and E = 4.03
ˆ ˆ ˆ
(15) .3495(15) 81.445y y E y y E
ˆ
(15) 76.204 76.204 4.03 76.204 4.03yy
72.174 80.234y
You can say with 95% confidence that life expectancy will be between 72.174 years and 80.234 years
when the under 5 infant mortality rate is...