State with reasons whether the following statements are true or false. 1. Coefficient of correlation between two variables X and Y is r = 0.6. Hence the coefficient of correlation between variables X and Y isr= 0.3. 2 1 E. Hence the coefficient of 2 2. Coefficient of correlation between two variable x and y is r = 1 and y + correlation between variables x + is r = 1. 3. Coefficient of correlation between two variables X and Y is zero. Hence X and Y are unrelated variables. 4. Coefficient of Correlation between two variables Xand Yis 0.8. Hence the coefficient ofcorrelation between X and -Y is -0.8. 5. Given that the correlation between x and y is 0.5. The correlation between (2x-4) and (3–2y) is–0.5. 6. Karl Pearson's Correlation Coefficient always lies between 0 and 1.

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State with reasons whether the following statements are true or false.
1. Coefficient of correlation between two variables X and Y is r = 0.6. Hence the coefficient of
1
Y is r 0.3.
2
correlation between variables X and
2. Coefficient of correlation between two variable x and y is r
1
. Hence the coefficient of
1
correlation between variables x +
2
and y +
is r = 1.
3. Coefficient of correlation between two variables X and Y is zero. Hence X and Y are unrelated
variables.
4. Coefficient of Correlation between two variables Xand Y is 0.8. Hence the coefficient of correlation
between X and -Y is -0.8.
5. Given that the correlation between x and y is 0.5. The correlation between (2x-4) and (3-2y) is -0.5.
6. Karl Pearson's Correlation Coefficient always lies between 0 and 1.
Transcribed Image Text:State with reasons whether the following statements are true or false. 1. Coefficient of correlation between two variables X and Y is r = 0.6. Hence the coefficient of 1 Y is r 0.3. 2 correlation between variables X and 2. Coefficient of correlation between two variable x and y is r 1 . Hence the coefficient of 1 correlation between variables x + 2 and y + is r = 1. 3. Coefficient of correlation between two variables X and Y is zero. Hence X and Y are unrelated variables. 4. Coefficient of Correlation between two variables Xand Y is 0.8. Hence the coefficient of correlation between X and -Y is -0.8. 5. Given that the correlation between x and y is 0.5. The correlation between (2x-4) and (3-2y) is -0.5. 6. Karl Pearson's Correlation Coefficient always lies between 0 and 1.
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