The data on the right are birth rate and income ratio for a sample of 12 developing countries. Brazil 30 7.6 Colombia 25 9.3 (a) Calculate the R value for the regression of the birth rate on the income ratio. Costa Rica 34 6.4 India 33 4.9 (b) Is the part (a) result the same as the square of correlation coefficient? Mexico 38 8.4 Peru 28 3.7 Philippines Senegal South Korea 32 Sri Lanka 25 28 5.8 30 3.8 4.0 3.0 Taiwan 38 4.1 Thailand 27 3.5 (a) R =D (Round the final answer to three decimal places as needed. Round all intermediate values to three decimal pláces as needed.) (b) Is the part (a) result the same as the square of correlation coefficient? Yes No 786

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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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Birth rate=Y Income ratio= X
Y
The data on the right are birth rate and income ratio
for a sample of 12 developing countries.
Brazil
30
7.6
Colombia
25
9.3
(a) Calculate the R value for the regression of the
birth rate on the income ratio.
(b) Is the part (a) result the same as the square of
correlation coefficient?
Costa Rica
34
6.4
India
33
4.9
Mexico
38
8.4
Peru
28
3.7
Philippines
Senegal
South Korea
28
5.8
30
3.8
32
4.0
Sri Lanka
25
3.0
Taiwan
38
4.1
Thailand
27
3.5
(a) R =D
(Round the final answer to three decimal places as needed. Round all intermediate values to three decimal
places as needed.)
(b) Is the part (a) result the same as the square of correlation coefficient?
Yes
O No
Transcribed Image Text:Y The data on the right are birth rate and income ratio for a sample of 12 developing countries. Brazil 30 7.6 Colombia 25 9.3 (a) Calculate the R value for the regression of the birth rate on the income ratio. (b) Is the part (a) result the same as the square of correlation coefficient? Costa Rica 34 6.4 India 33 4.9 Mexico 38 8.4 Peru 28 3.7 Philippines Senegal South Korea 28 5.8 30 3.8 32 4.0 Sri Lanka 25 3.0 Taiwan 38 4.1 Thailand 27 3.5 (a) R =D (Round the final answer to three decimal places as needed. Round all intermediate values to three decimal places as needed.) (b) Is the part (a) result the same as the square of correlation coefficient? Yes O No
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