Question

If the value of any regression coefficient is zero, then two variables are:
A) Correlation
b) Independent
c) Dependent
d)Qualitative
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Answer 1

Answer:

Independent is the answer!

Step-by-step explanation:

If the correlation coefficient of two variables is zero, it signifies that there is no linear relationship between the variables. However, this is only for a linear relationship; it is possible that the variables have a strong curvilinear relationship.

⇒  When the value of r is close to zero, generally between −0.1 and +0.1, the variables are said to have no linear relationship or a very weak linear relationship.  

⇒  For example, suppose the prices of coffee and of computers are observed and found to have a correlation of +.0008; this means that there is no correlation, or relationship, between the two variables.

∴  We can say that, if the value of any regression coefficient is zero, then two variables are Independent.

hope it helps !:)

Answer 2

Answer:

B) Independent

Explanation:

• We can declare that two variables are independent if the value of any regression coefficient is zero.

• When the correlation coefficient between two variables is zero, it means that the variables do not have a linear relationship. However, this only applies to a linear relationship; the variables could have a strong curved relationship.

• The variables are considered to have no linear relationship or a very weak linear relationship when the value of r is close to zero.