In a simple linear regression analysis, it was stated that the correlation between starting salary and years of experience is 0.80. This indicates that 80% of the variation in starting salary is explained by years of experience.

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Correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1. A correlation of 0.80 indicates a strong positive linear relationship between starting salary and years of experience. However, it does not mean that 80% of the variation in starting salary is explained by years of experience. The coefficient of determination (R-squared) measures the proportion of variability in the dependent variable (i.e., starting salary) that is explained by the independent variable(s) (i.e., years of experience) in a linear regression model. The R-squared value can range from 0 to 1, where 0 indicates no linear relationship and 1 indicates a perfect linear relationship. Therefore, we cannot conclude anything about the proportion of variation explained from the correlation coefficient alone.

In a Simple Linear Regression Analysis, It Was Stated That