Yes it is. That is actually true for all random vars, assuming the covariance of the two random vars is zero (they are uncorrelated).
It mean that there is no correlation between the two variables. The variables are the same.
"If coefficient of correlation, "r" between two variables is zero, does it mean that there is no relationship between the variables? Justify your answer".
If two variables are in direct relationship then the ratio of the two variables is known as the constant of proportion between them. In algebraic form, if X and Y are the two variables, then direct proportionality implies that Y = cX and c is the constant of proportionality.
The two types of variables are the CONSTANT and CONTROL.
If I have two source of noise let as say two laser diodes so the pink noise that generate fro both of them is it correlated or uncorrelated
Correlation is a way of testing whether there is a linear relationship between two variables of their transformed versions. If there is no correlation then all that it means is that there is no linear relationship between the two or between their transformed versions. It certainly does not mean that there is no relationship. For example, if y = a*x^2 + b where a and b are constants then, because of symmetry, the correlation between x and y is 0.
Yes it is. That is actually true for all random vars, assuming the covariance of the two random vars is zero (they are uncorrelated).
It mean that there is no correlation between the two variables. The variables are the same.
if two variables are positively related,it means that the two variables change in the same direction.that is,if the value of one of the variables increases,the value of the other variable too will increase.for example,if employment as an economic variable increases in a country,and price of goods too increases then we can say that these two variables(employment and price) are positively related
"If coefficient of correlation, "r" between two variables is zero, does it mean that there is no relationship between the variables? Justify your answer".
Correlation is a statistical measure of the linear association between two variables. It is important to remember that correlation does not mean causation and also that the absence of correlation does not mean the two variables are unrelated.
It is a linear expression in two variables.
A positive correlation between two variables means that there is a direct correlation between the variables. As one variable increases, the other variable will also increase.
If two variables are in direct relationship then the ratio of the two variables is known as the constant of proportion between them. In algebraic form, if X and Y are the two variables, then direct proportionality implies that Y = cX and c is the constant of proportionality.
The answer depends on what exactly you mean by doing an equation!
The correlation coefficient is a measure of linear association between two (or more) variables. It does not measure non-linear relationships nor does it say anything about causality.