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Regression

Theory and Formula


Question


Q1. If r (correlation corfficient) is positive, then bxy has ------------ sign.

Solution.
Positive
Note correlation corfficient and both regression coefficients have same sign.
Solution

Q2. Cov(x,y) is negative, then regression coefficient x on y has________________ sign.

Solution.
Negative
Solution

Q3. The intersection point of both the regression lines gives us__________.

Solution.
Mean of variable x and y.
Solution

Q4. Which methods are used to find regression equations.
(a) Least square method (b) Regression coefficient method (c) Both a and b (d) none of these

Solution.
Solution

Q5. If Regression coefficient x on y is zero then correlation coefficient will be ____________.

Solution.
Zero
Solution

Q6. Two regression lines are perpendicular to each other when r = ___________.

Solution.
zero
Solution

Q7. Two regression lines are coincide to each other when r = ___________.

Solution.
r = 1 or -1
Solution

Q8. When angle between two regression line increases, the correlation between the variables __________.

Solution.
Decreases
Solution

Q9. In the regression line y = a + bx, a is known as______________.

Solution.
Intercept of line.
Solution

Q10. Regression coefficients are independent of change of origin but not scale, it is true or false.

Solution.
True.
Solution