Spearman's Rank Correlation Coefficient

Calculate Rank coefficient of correlation

Find the Spearman’s rank correlation coefficient from the following data.

$\begin{array}{|ccccccccc|}\hline \text{ Price }& 4& 6& 8& 10& 12& 14& 16& 18\\ \text{ Supply }& 10& 15& 20& 25& 30& 35& 40& 45\\ \hline\end{array}$

Compute the rank correlation coefficient for the data given below:

$\begin{array}{|ccccccccc|}\hline x& 15& 20& 28& 12& 40& 60& 20& 80\\ y& 40& 30& 50& 30& 20& 10& 30& 60\\ \hline\end{array}$

Compute the rank correlation coefficient for the data given below:

$\begin{array}{|ccccccccccc|}\hline x& 46& 34& 41& 10& 15& 15& 66& 25& 15& 58\\ y& 14& 13& 25& 7& 16& 5& 21& 10& 8& 20\\ \hline\end{array}$

Compute the rank correlation coefficient for the data given below:

$\begin{array}{|ccccccccccc|}\hline x& 49& 34& 41& 10& 17& 17& 66& 25& 17& 58\\ y& 14& 14& 25& 7& 16& 5& 21& 10& 7& 20\\ \hline\end{array}$

Find Spearman’s rank correlation coefficient if  $n=15,\sum D^2=8$ ?(Answer up to three decimal value)

From the following data calculate the rank correlation coefficient.

$\begin{array}{|ccccccccccc|}\hline x& 49& 34& 41& 10& 17& 17& 66& 25& 17& 58\\ y& 14& 14& 25& 7& 16& 5& 21& 10& 7& 20\\ \hline\end{array}$

A random sample of $5$ college students is selected and their marks in Tamil and English are found to be:

$\begin{array}{|cccccc|}\hline \text{ Tamil }& 85& 60& 73& 50& 90\\ \text{ English }& 93& 75& 65& 40& 80\\ \hline\end{array}$

Calculate Spearman’s rank correlation coefficient.(Answer up to one decimal value)

Find Spearman’s rank correlation coefficient if  $n=5,\sum D^2=2$ ?(Answer up to one decimal value)

Calculate the Spearman’s rank correlation coefficient between price and supply from the following data.

$\begin{array}{|ccccccccc|}\hline \text{ Price }& 2& 6& 8& 10& 12& 14& 16& 18\\ \text{ Supply }& 10& 15& 20& 25& 30& 35& 40& 45\\ \hline\end{array}$

If $\Sigma D^2=0$, then rank correlation coefficient is

Rank correlation coefficient is given by

Find Spearman’s rank correlation coefficient if $n=10,\sum D^2=3$. (Answer up to three decimal values).

A random sample of $5$ college students is selected and their marks in Tamil and English are found to be:

$\begin{array}{|cccccc|}\hline \text{ Tamil }& 85& 60& 73& 40& 90\\ \text{ English }& 93& 75& 65& 50& 80\\ \hline\end{array}$

Calculate Spearman’s rank correlation coefficient.(Answer up to one decimal value)

Calculate the Spearman’s rank correlation coefficient between price and supply from the following data.

$\begin{array}{|ccccccccc|}\hline \text{ Price }& 4& 6& 8& 10& 12& 14& 16& 18\\ \text{ Supply }& 10& 15& 20& 25& 30& 35& 40& 45\\ \hline\end{array}$