61. Which of the following statements are true?
1. The coefficient of rank correlation has the same limits as the Karl Pearson's coefficient of correlation.
2. The coefficient of correlation is independent of the change of origin but not of scale.
3. The covariance between $$X$$ and $$Y$$ is defined as $$\frac{{\sum {xy} }}{n}$$ where, $$x = \left( {X - \overline X } \right),y = \left( {Y - \overline Y } \right)$$ and $$n = $$ no. of paired observations.
4. $${b_{xy}}$$ is called regression coefficient of $$X$$ variable on $$Y$$ variable.
5. If $${b_{xy}}$$ is 0.4 and $${b_{yx}}$$ is 1.6, coefficient of determination would be 0.8.
Select the correct answer:
1. The coefficient of rank correlation has the same limits as the Karl Pearson's coefficient of correlation.
2. The coefficient of correlation is independent of the change of origin but not of scale.
3. The covariance between $$X$$ and $$Y$$ is defined as $$\frac{{\sum {xy} }}{n}$$ where, $$x = \left( {X - \overline X } \right),y = \left( {Y - \overline Y } \right)$$ and $$n = $$ no. of paired observations.
4. $${b_{xy}}$$ is called regression coefficient of $$X$$ variable on $$Y$$ variable.
5. If $${b_{xy}}$$ is 0.4 and $${b_{yx}}$$ is 1.6, coefficient of determination would be 0.8.
Select the correct answer:
62. If the dependent variable increases as the independent variable increases in an estimation equation, the coefficient of correlation will be in the range
63. If the two regression coefficients are 0.8 and 0.2, then the value of coefficient of correlation is
64. Which one of the following objectives is not the objective of secondary data collection?
65. Cricketer 'A' scores on an average 40 runs with a standard deviation of 5. Scores of players 'B' and 'C', on an average, are 75 and 90 with standard deviations 10 and 18 respectively. Arrange the players in the descending order of consistency.
66. Aset of data can be distinguished from other set of data by means of
67. In the frequency curve of symmetric distribution, if a perpendicular is drawn from the vertex to the base line, which is divided into two parts if the area on the right side is greater than the area on the left side, then which of the following has the highest value?
68. Mean $$ \pm\, 3\sigma $$ covers-
69. The Fisher index number is
70. Which one of the following statements is false?
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