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Correlation analysis is the relationship of two values. When two items are similar, they will have a high correlation. Should they differ, they will be much lower in variables.
A 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.
Evidence that there is no correlation.
They can be positive correlation, negative correlation or no correlation depending on 'line of best fit'