Correlation and Covariance

Find the rank correlation coefficient for the given data : 

$\begin{array}{|ccccccccccc|}\hline x& 49& 34& 41& 10& 12& 12& 66& 25& 12& 58\\ y& 15& 15& 25& 7& 16& 5& 21& 10& 7& 20\\ \hline\end{array}$

Find the rank correlation coefficient for the given data : 

$\begin{array}{|ccccccccccc|}\hline x& 49& 34& 41& 10& 15& 15& 66& 25& 15& 58\\ y& 15& 15& 25& 7& 16& 5& 21& 10& 7& 20\\ \hline\end{array}$

Find the rank correlation coefficient for the given data : 

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

Find the rank correlation coefficient for the given data : 

$\begin{array}{|ccccccccccc|}\hline x& 49& 34& 41& 10& 16& 16& 66& 25& 16& 58\\ y& 15& 15& 25& 7& 16& 5& 21& 10& 7& 20\\ \hline\end{array}$

If the covariance between x and y is 30, variance of x is 25 and variance of y is 144, then what is the correlation coefficient?

The co-efficient of correlation is independent of:

If the correlation coefficient between x and y is 0.6 covariance is 27 variance of y is 25, then what is the variance of x?

Given the following population data. Find the Pearson correlation coefficient between x and y for this data. (Take 1√7 as 0.378)

A survey was conducted in your city. Given is the following sample data containing a person's age and their corresponding income. Find out whether the increase in age has an effect on income using the correlation coefficient formula. 

If the coefficient correlation exactly equals to $-1$ then it will be _____ effect.

If $r= +1$, the correlation is said to be _____.

Which of the following may have an adverse effect on the correlation coefficient?

If two variables are highly correlated, what do you know?

Correlation refers to

If two variables oppose each other then the correlation will be _____.

You are analysing a scatter plot that has a negative correlation. What is true of the x and y values?

From the following data calculate the rank correlation coefficient.

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

If the two variables do not have linear relationship between them then they have a correlation coefficient equal to

If $-1<r<0$, then the correlation is called

If $0<r<1$, then the correlation is called