Karl Pearson Method to Calculate R

Q.

If the coefficient of correlation is positive, then the regression coefficient:

1. Both are positive

2. Both are negative

3. One is positive and another is negative

4. None of the above

Q.

What are the assumptions of linear regression?

Q.

If $X$ and $Y$ are independent variables, then the correlation coefficient is:

1. $1$

2. $-1$

3. $\frac{1}{2}$

4. $0$

Q.

If the correlation coefficient is negative, then the regression coefficient is:

1. $0$

2. $1$

3. Negative

4. Positive

Q. Find the spearman's rank coefficient of correlation from the following data:

X	48	33	40	9	16	16	65	25	16	57
Y	13	13	24	6	15	4	20	9	6	19

1. $0.76$
2. $0.52$
3. $0.61$
4. $0.85$

Q.

If the lines of regression coincide, then the value of the correlation coefficient is:

1. $0$

2. $1$

3. $0.5$

4. $0.33$

Q.

If the coefficient of correlation is positive, then for the values of the variables $x,y$ when the value of $x$ increases perfectly, then

1. The value of $y$ increases

2. The value of $y$ decreases

3. The value of $y$ remains constant

4. Nothing can be said

Q.

The correlation coefficient of two variables $x$and $y$are $0.8$. The regression coefficient of $y$ on $x$is $0.2$, then the regression coefficient of $x$ on$y$ is

1. $3.2$

2. $-3.2$

3. $4$

4. $0.16$