Question

A graph with a negative slope has an R2 of 0.25. Find the coefficient correlation and choose the best description of therelationship between variables in this graph.A)strong Inverse relationship between the variablesB)moderate negative relationship between the variablesC)weak positive relationship between the variableD)strong positive relationship between the variables

Answer 1

We have the value of R squared:

$R^2=0.25$

The value of the coefficient of correlation is represented by R, which can be calculated as the square root of R squared:

$R=\sqrt[]{R^2}=\sqrt[]{0.25}=0.5$

This coefficient of correlation indicates how stong is the relationship.

For example 0.9 is strong and 0.1 is a weak relationship.

In this case, since the value of R is in the middle R=0.5, we can say that the variables have a moderate relationship.

Also, we are told that the graph has a negative slope, and a negative slope indicates a negative relationship between the variables.

Thus the answert is: B)moderate negative relationship between the variables