A constant correlation refers to a stable and unchanging relationship between two variables, indicating that as one variable changes, the other variable consistently changes in a predictable manner. This can be quantified using correlation coefficients, which range from -1 to 1. A correlation of 1 indicates a perfect positive relationship, while -1 indicates a perfect negative relationship. In practical terms, a constant correlation suggests that the variables are consistently linked over time or across different conditions.
If they increase or decrease exactly, then the constant of proportionality or coefficient of proportionality. If not exactly, then a correlation coefficient.
No. The ratio of consecutive values of y for equal x-intervals will be approx constant.
If measurements are taken for two (or more) variable for a sample , then the correlation between the variables are the sample correlation. If the sample is representative then the sample correlation will be a good estimate of the true population correlation.
They can be positive correlation, negative correlation or no correlation depending on 'line of best fit'
Evidence that there is no correlation.
Since I am a constant, not a variable, there can be no correlation. The calculation would entail division by zero, which is not permitted.
Let me rephrase: Case 1: You have x and y variables, but the values for x is a constant (vertical line) Case 1: You have x and y variables, but the values for y is a constant (horizontal line) Result is that you have zero covariance, so a correlation coefficient can not be calculated because that would cause a division by zero. If one of your x value (Case 1) or y value (case 2) is not exactly the same as the others, then a correlation coefficient can be calculated, but does it mean anything? The correlation coefficient indicates a linear relationship between two random variables, not between a constant and a random variable.
Auto correlation is the correlation of one signal with itself. Cross correlation is the correlation of one signal with a different signal.
If they increase or decrease exactly, then the constant of proportionality or coefficient of proportionality. If not exactly, then a correlation coefficient.
No. The strongest correlation coefficient is +1 (positive correlation) and -1 (negative correlation).
positive correlation-negative correlation and no correlation
No. The ratio of consecutive values of y for equal x-intervals will be approx constant.
The correlation can be anything between +1 (strong positive correlation), passing through zero (no correlation), to -1 (strong negative correlation).
If measurements are taken for two (or more) variable for a sample , then the correlation between the variables are the sample correlation. If the sample is representative then the sample correlation will be a good estimate of the true population correlation.
partial correlation is the relation between two variable after controlling for other variables and multiple correlation is correlation between dependent and group of independent variables.
No, The correlation can not be over 1. An example of a strong correlation would be .99
They can be positive correlation, negative correlation or no correlation depending on 'line of best fit'