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The probable error of the coefficient of correlation(r) is calculated by which one of the following formula?

The probable error of the coefficient of correlation(r) is calculated by which one of the following formula? Correct Answer $$0.6745\frac{{\left( {1 - {r^2}} \right)}}{{\sqrt n }}$$

Related Questions

Which of the following statements relating to correlation and reegression are true?
1. The coefficient of correlation is independent of change of origin and scale
2. The coefficient of correlation between the two variables is the arithmetic average of the two regression coefficients
3. The probable error of the coefficient correlation is 0.6745 times of its standard error
4. Coefficient of correlation multiplied by the ratio between the standard deviations of the two variables denotes the slope of the regression line
Select the correct answer:
Which of the following statements are true? a. The correlation coefficient is dependent on the choice of both origin and scale observations. b. The correlation coefficient is dependent on the units of measurements. c. The coefficient of correlation is the square root of the coefficient of determination. d. The zero value of the correlation coefficient cannot estimate the value of the dependent variable.
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:
Determine the pan evaporation from the following data using the Christiansen method. Extra-terrestrial radiation in cm = 47.3cm Coefficient of temperature(Ct) = 1.403 Coefficient for wind velocity (Cw)= 1.2 Coefficient for relative humidity (Ch) = 1 Coefficient for percent of possible sunshine(Cs) = 1.073 Coefficient of elevation(Ce) = 1.014
The most probable value arid the probable error of the area of a rectangle whose sides are 50 ± 0.04 m and 150 ± 0.06 m
Statement I Both the probable error and standard error of the coefficient of correlation are different.
Statement II When a sampling distribution of mean is prepared by taking small sized samples from a normally distributed population, the distribution takes the shape of normal distribution.
Which of the following statements is/are correct in connection with malicious prosecution?
1. Malice is to be inferred from the acquittal of the plaintiff.
2. Malice is not to be inferred from the acquittal of the plaintiff.
3. The plaintiff must prove independently of the acquittal that his prosecution was without reasonable and probable cause,
4. The plaintiff is not required to prove that his prosecution was without reasonable and probable cause.
Select the correct answer using the given below:
Which of the following requirements form an essential element of the tort of malicious prosecution?
1. Prosecution of the plaintiff by the defendant
2. Termination of the case in favour of the defendant
3. Termination of the case in favour of the plaintiff
4. Presence of reasonable and probable cause
5. Absence of reasonable and probable cause
6. Malice on the part of the defendant
7. Damage suffered by the plaintiff
Select the correct answer using the given below:
The average age of 25 people is 24. The age of two persons is wrongly calculated. Age of the first person was 40 but calculated as 30. Age of the second person was 60 but calculated as 45. What is the original average age of the group?
Bank lent out some amount to P on compound interest calculated half-yearly at the rate of interest 10% for a year. P lent out same money on compound interest calculated annually to his friend at the same rate of interest for the same time period. He has Rs. 10 loss in this transaction. At what rate of interest he should lend out money on compound interest calculated annually for a year to earn Rs. 190 as a profit?