Question

if the coefficient of correlation between two variables is - 0.7 then the coefficient of determination is
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Answer 1

Answer:

Correlation coefficients whose magnitude are between 0.5 and 0.7 indicate variables which can be considered moderately correlated.

Answer 2

Answer:

The correlation coefficient between $Z$ and $W=0.7$

Step-by-step explanation:

Given:

$r(X, Y)=0.7$

To Find:

Step 1:

• Correlation coefficients are used to measure how strong a relationship is between two variables.
• The coefficient of correlation does not change with a change in origin or change in scale.

$\begin{aligned}&Z=X-5 \text { and } W=3 Y \\&\text { So, } r(Z, W)=r(X-5,3 Y) \\&=r(X, Y)\end{aligned}$

As the correlation coefficient does not change so the coefficient will remain the same for $\mathrm{Z}$ and $\mathrm{W}$

So, the correlation coefficient between $Z$ and $W=0.7$