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The following compares the infant mortality rate (number of deaths before age of 5 per 1000 births) vs life expectancy by regions of the world. Data source: Population Reference Bureau 2019

a) Interpret slope
b) State the correlation coefficient, r, and interpret
c) Hypothesis testing procedure
H0: ρ = 0 (no correlation) Ha: ρ ≠ 0
Find t0 (table 5) and the test statistic for correlation and compare, α = .05, 2-tail test
2 1
2
r
t
r
n
= −
−
, If t > t0 or t < -t0, Reject H0, otherwise do not reject H0.
d) State the coefficient of determination, r2
, and interpret
e) Find a 95% prediction interval for life expectancy if x = 15 and E = 4 and interpret
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