Math Problem Statement
Use this P(x)= n C_{x} * p ^ x * (1 - p) ^ (n - x) for the probability.
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Below are bavariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births x per one thousand people in the population and the female life expectancy y (in years) are given. These data are displayed in the Figure 1 scatter plot. Also given is the product of the birthrate and the female life expectancy for each of the twelve countries. (These products, written in the column labeiled "xy", may aid in calculations.)
Birthrate, x (number of births per 1000 pop.)
Female life expectancy, y (in years)
xy
40.9
63.3
2588.97
25.3
74.6
1887.38
48.7
53.9
2624.93
13.8
74.3
1025.34
52.3
59.0
3085.7
13.7
73.6
1008.32
19.1
72.0
1375.2
Female life expectancy (in years)
31.4
63.0
1978.2
454
58.9
2674.06
49.0
60.4
2959.6
27.5
72.1
1982.75
Figure 1
33.6
67.6
2271.36
Birthrate (number of births per 1000 pop.)
What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your areewer to at least three decimal places. (If necessary, consult a list of formulas.)
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation Coefficient
Formulas
Sample correlation coefficient formula
Theorems
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Suitable Grade Level
College
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