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Statement i: the geometric mean of the two regression coefficients of x and y variables gives the value of the coefficient of correlation. statement ii: if the
Statement I: The geometric mean of the two regression coefficients of X and Y variables gives the value of the coefficient of correlation. Statement II: If the population distribution is not normal and a sampling distribution of mean is prepared by taking small sized samples, the sampling distribution of mean is not normal. (December) Choices CHoICE (4) RESPONSE a. Statements I and II are incorrect. b. Statement I is correct, but II D is incorrect. C. Statement II is correct, but I O
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Rucha rajesh shingvekar
statement 2 is also correct.
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Rucha rajesh shingvekar
In above explanation n indicates number of sample size . If sample size is less than 30 means small size sample and sample size is greater than 30 means large size sample. and given question talks about small size sample.
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Rucha rajesh shingvekar
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In case of a population that is not normally distributed, the sampling distributions are not normal, when n is less than 30. However, the sampling distributions approximate a normal distribution, when n is greater than 30. Also notice that the spread of the sampling distribution decreases as the sample size increases. n indicates number of samples. If sample size is less than 30 means small sample and sample size is greater than 30 means large sample. and given question talks about small size sample.
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Rucha rajesh shingvekar Best Answer
The geometric mean of regression coefficients is equal to coefficient of correlation (numerically) so 1st statement is correct
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Priya gulani
option d
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Priya gulani
The important properties of regression coefficient are given below:1. It is denoted by b. 2. It is expressed in terms of original unit of data. 3. Between two variables (say x and y), two values of regression coefficient can be obtained. One will be obtained when we consider x as independent and y as dependent and the other when we consider y as independent and x as dependent. The regression coefficient of y on x is represented as byx and that of x on y as bxy. 4. Both regression coefficients must have the same sign. If byx is positive, bxy will also be positive and vice versa. 5. If one regression coefficient is greater than unity, then the other regression coefficient must be lesser than unity. 6. The geometric mean between two regression coefficients is equal to the coefficient of correlation, r =  7. Arithmetic mean of both regression coefficients is equal to or greater than coefficient of correlation. (byx + bxy)/2 = equal or greater than r