In simple linear regression analysis, if the independent variable x and the dependent variable y are highly correlated, this does not only mean that they are linearly related, but it also means that a change in x will cause a change in y.

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High correlation between x and y in simple linear regression analysis indicates a strong linear relationship, but it does not imply causation. Correlation does not establish that a change in x will cause a change in y.

In Simple Linear Regression Analysis, If the Independent Variable X