# llllk

## llllk

﻿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...