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74.2 65.6 49.8 58.8 45.3 59.0 17.7 72.7 15.1 75.9 31.7 62.6 27.1 71.8 35.5 67.9 50.0 54.3 50.1 61.3 Send data to calculator V 24.3 40.9 1803.06 2683.04 2928.24 2672.7 1286.79 1146.09 1984.42 1945.78 2410.45 2715 3071.13 Female life expectancy (in years) Figure 1 55- 50 15 20 25 30 35 45 50 55 60 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 answer to at least three decimal places. (If necessary, consult a list of formulas.) G

74.2 65.6 49.8 58.8 45.3 59.0 17.7 72.7 15.1 75.9 31.7 62.6 27.1 71.8 35.5 67.9 50.0 54.3 50.1 61.3 Send data to calculator V 24.3 40.9 1803.06 2683.04 2928.24 2672.7 1286.79 1146.09 1984.42 1945.78 2410.45 2715 3071.13 Female life expectancy (in years) Figure 1 55- 50 15 20 25 30 35 45 50 55 60 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 answer to at least three decimal places. (If necessary, consult a list of formulas.) G

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Below are bivariate 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 labeled “\(xy\),” may aid in calculations.) | Birthrate, \(x\) (number of births per 1000 pop.) | Female life expectancy, \(y\) (in years) | \(xy\) | |-----------------------------------------------|--------------------------------------|---------| | 14.5 | 73.4 | 1064.3 | | 24.3 | 74.2 | 1803.06 | | 40.9 | 65.6 | 2683.04 | | 48.8 | 60.0 | 2928.24 | | 45.3 | 59.0 | 2672.7 | | 17.7 | 72.7 | 1286.79 | | 15.1 | 75.8 | 1144.69 | | 31.7 | 62.6 | 1984.42 | | 27.1 | 71.8 | 1945.78 | | 35.5 | 67.9 | 2404.45 | | 50.5 | 53.7 | 2715 | | 50.1 | 61.3 | 3071.13 | **Scatter Plot Description (Figure 1):** The scatter plot displays the relationship between the birthrate (number of births per 1000 population) on the x-axis and female life expectancy (in years) on the y-axis for the twelve countries. The plot shows a general trend that higher birthrates tend to correspond with lower life expectancies. **Analysis:** What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)
Transcribed Image Text:Below are bivariate 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 labeled “\(xy\),” may aid in calculations.) | Birthrate, \(x\) (number of births per 1000 pop.) | Female life expectancy, \(y\) (in years) | \(xy\) | |-----------------------------------------------|--------------------------------------|---------| | 14.5 | 73.4 | 1064.3 | | 24.3 | 74.2 | 1803.06 | | 40.9 | 65.6 | 2683.04 | | 48.8 | 60.0 | 2928.24 | | 45.3 | 59.0 | 2672.7 | | 17.7 | 72.7 | 1286.79 | | 15.1 | 75.8 | 1144.69 | | 31.7 | 62.6 | 1984.42 | | 27.1 | 71.8 | 1945.78 | | 35.5 | 67.9 | 2404.45 | | 50.5 | 53.7 | 2715 | | 50.1 | 61.3 | 3071.13 | **Scatter Plot Description (Figure 1):** The scatter plot displays the relationship between the birthrate (number of births per 1000 population) on the x-axis and female life expectancy (in years) on the y-axis for the twelve countries. The plot shows a general trend that higher birthrates tend to correspond with lower life expectancies. **Analysis:** What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)
Expert Solution
Step 1: Given data:
xy
14.573.4
24.374.2
40.965.6
49.858.8
45.359
17.772.7
15.175.9
31.762.6
27.171.8
35.567.9
5054.3
50.161.3
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