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.
That means something that will change, basically, the point of your experiment
'Manipulating variables' means to change some of the portions of a specific formula that are open to change, and hence variable. Take: ( x + y ) = 5 You may discretionally change the variables x and y to anything from minus infinity to five and the equation will still be solvable. To do so would be to manipulate those variables.
There are three types of variables tested: manipulated variables, controlled variables, and experimental variables.
Constant means strait line and variable is an arch which is not a strait line
'Manipulating variables' means to change some of the portions of a specific formula that are open to change, and hence variable. Take: ( x + y ) = 5 You may discretionally change the variables x and y to anything from minus infinity to five and the equation will still be solvable. To do so would be to manipulate those variables.
the statistically independent random variables are uncorrelated but the converse is not true ,i want a counter example,
to convert raw data of correlated variables to data matrix of uncorrelated variables (Principal Component)
Yes. the conditional expectation of X given Y is simply the expectation of X if X and Y are uncorrelated. This is a consequence of one of the properties of conditional expectation.
In mathematics, "orthogonal" means perpendicular or independent. In linear algebra, vectors are orthogonal if their dot product is zero, indicating they are at right angles to each other. In statistics, orthogonal variables are uncorrelated, making them useful for multi-variable analysis.
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
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 means that values are assigned to each of the variables in such a way that, when replacing the variables for those values, EACH of the equations will be true.
Two-stage least squares (2SLS) is used instead of ordinary least squares (OLS) when there is concern about endogeneity in the regression model, such as when an independent variable is correlated with the error term. This typically arises in the presence of omitted variable bias, measurement error, or simultaneous causality. 2SLS helps to provide consistent estimators by using instrumental variables that are correlated with the endogenous explanatory variables but uncorrelated with the error term. In contrast, OLS is appropriate when all variables are exogenous and there are no such concerns.
what does controlling the variable mean?
Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.
An uncorrelated data sequence refers to a series of data points where there is no statistical relationship or dependency between them. In other words, the value of one data point does not provide any information about the value of another, indicating that their correlation coefficient is close to zero. This property is often important in statistical analysis and signal processing, as it suggests that the data points can be treated independently. Uncorrelated sequences are commonly used in various applications, such as random number generation and noise analysis.
Usually it means that each of the variables is dependent on the other. if one changes, so does the other.