Question

2. If the value of r is 0.1 for a dataset comparing two variables, what does that tell us?We can say that the correlation is (positive or negative) and (strong or moderate or weak or negligible).

Answer 1

The correlation coefficient (r) is a measure that determines the degree to which the movement of two different variables is associated.

The possible range of values for the correlation coefficient is -1.0 to 1.0

`\begin{gathered} -1.0\text{ indicates a strong negative correlation between the variables } \\ 1.0\text{ indicates a strong positive correlation betw}een\text{ the variables } \end{gathered}`

If the correlation coefficient is greater than zero, it is a positive relationship.

A value of zero(0) indicates that there is no relationship between the two variables.

Hence

Given an r r-value of

`\begin{gathered} 0.1 \\ \text{ it is a positive correlation } \end{gathered}`

Since the 0.1 is close to zero,

Hence

`\begin{gathered} r=0.1\text{ is a } \\ \text{weak positive correlation } \end{gathered}`

Therefore the value r of 0.1 in comparing two variables indicate that the correlation is

Positive and Negligeble