What is the value of the samole correlation.coefficient for these data? Round your answer to at least three decimal places.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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 are
the products of the birthrates and female life expectancies for each of the twelve countries. (These products, written in the column labelled "xy," may aid in
calculations.)
Birthrate, x
(number of
births per 1000
pop.)
Female life
expe tancy, y
(in years)
xy
85
14.5
76.1
1103.45
80-+
26.0
73.4
1908.4
19.0
73.3
1392.7
75-
An
51.7
53.8
2781.46
70
31.1
63.5
1974.85
65-
53.2
58.7
3122.84
60-
12.1
73.0
883.3
55
34.5
66.1
2280.45
50-
25.5
75.0
1912.5
41.3
64.0
2643.2
10 15 20 25 30 35 40 45 50 55 60
46.5
57.8
2687.7
Figure 1
49.1
62.5
3068.75
Send data to Excel
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. (If necessary, consult a
list of formulas.)
What is the value of the sample correlation coefficient
for these data? Round your answer to at least three
Explanation
Check
Accessibility
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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 are the products of the birthrates and female life expectancies for each of the twelve countries. (These products, written in the column labelled "xy," may aid in calculations.) Birthrate, x (number of births per 1000 pop.) Female life expe tancy, y (in years) xy 85 14.5 76.1 1103.45 80-+ 26.0 73.4 1908.4 19.0 73.3 1392.7 75- An 51.7 53.8 2781.46 70 31.1 63.5 1974.85 65- 53.2 58.7 3122.84 60- 12.1 73.0 883.3 55 34.5 66.1 2280.45 50- 25.5 75.0 1912.5 41.3 64.0 2643.2 10 15 20 25 30 35 40 45 50 55 60 46.5 57.8 2687.7 Figure 1 49.1 62.5 3068.75 Send data to Excel Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. (If necessary, consult a list of formulas.) What is the value of the sample correlation coefficient for these data? Round your answer to at least three Explanation Check Accessibility O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy 99+ P Type here to search
19.0
73.3
1392.7
75-
51.7
53.8
2781.46
70-
31.1
63.5
1974.85
65-
53.2
58.7
3122.84
60--
12.1
73.0
883.3
55-
34.5
66.1
2280.45
Aa
25.5
75.0
50
1912.5
41.3
64.0
2643.2
10 15 20 25 30 35 40 45 50 55 60
46.5
57.8
2687.7
Figure 1
49.1
62.5
3068.75
Send data to Excel
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. (If necessary, consult a
list of formulas.)
What is the value of the sample correlation coefficient
for these data? Round your answer to at least three
decimal places.
Explanation
Check
Privacy Accessibility
O2021 McGraw-Hill Education. All Rights Reserved. Terms of Use
6.
99+
O Type here to search
Transcribed Image Text:19.0 73.3 1392.7 75- 51.7 53.8 2781.46 70- 31.1 63.5 1974.85 65- 53.2 58.7 3122.84 60-- 12.1 73.0 883.3 55- 34.5 66.1 2280.45 Aa 25.5 75.0 50 1912.5 41.3 64.0 2643.2 10 15 20 25 30 35 40 45 50 55 60 46.5 57.8 2687.7 Figure 1 49.1 62.5 3068.75 Send data to Excel Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. (If necessary, consult a list of formulas.) What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places. Explanation Check Privacy Accessibility O2021 McGraw-Hill Education. All Rights Reserved. Terms of Use 6. 99+ O Type here to search
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