Question

When the variables are independent,
the two lines of regression are

1.parallel
2.perpendicular
3.coincide
4.none of these​

Answer 1

Answer:

perpendicular

Step-by-step explanation:

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Answer 2

Perpendicular

Given

• variables are independent

To find

• nature of the regression line

Solution

we are provided with the condition that two variables are unrelated or there correlation Coefficient is zero. We have to predict the nature of the regression lines in this condition.

we know that regression lines represent the relationship between two variables. They are used to predict the value of one variable with the help of another.

If two variables are unrelated or are independent the regression lines of them would be perpendicular to each other.

If the two variables are in a perfect relation then the two regression lines of the variables would coincide each other.

This is the only condition where both of the regression lines would coincide each other.

Generally regression lines, do not seen to be parallel to each other.

The intersection point of two regression lines gives the mean of the two variables.

Therefore, when the variables are independent,

the two lines of regression are perpendicular

Option 2 is correct

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