Which statement is correct ? (a) X and Y are two variables, there can be at the most more regression. (b) Co-efficient of correlation lies between $-1$ and $+1$. (c) In scatter diagram, if the plotted points show a downward trend, the correlation will be positive. (d) Both the regression co-efficients cannot be greater than one.

> > [!TLDR] > The correct statement is that the coefficient of correlation always lies between $-1$ and $+1$; the other options are incorrect or garbled. > > Examine each option: > - **(a)** Garbled/incorrect (there are exactly two lines of regression, not "at the most more"). > - **(b)** Correct — Karl Pearson's coefficient of correlation $r$ always satisfies $-1 \le r \le +1$. > - **(c)** Incorrect — in a scatter diagram a *downward* trend indicates **negative** correlation, not positive. …

Which statement is correct ? (a) X and Y are two variables, there can be at the most more regression. (b) Co-e

Question 13 of 31

Q. Which statement is correct ?

(a) X and Y are two variables, there can be at the most more regression.

(b) Co-efficient of correlation lies between

-1

and

+1

(d) Both the regression co-efficients cannot be greater than one.

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The correct statement is that the coefficient of correlation always lies between $-1$ and $+1$ ; the other options are incorrect or garbled.

Examine each option:

(a) Garbled/incorrect (there are exactly two lines of regression, not "at the most more").
(b) Correct — Karl Pearson's coefficient of correlation $r$ always satisfies $-1 \le r \le +1$ .
(c) Incorrect — in a scatter diagram a downward trend indicates negative correlation, not positive. …

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