Outliers Leverage and Influential Points

Consider the following statements regarding influential points, leverage, and outliers in a linear regression analysis.



I. An influential point must always have a large residual.



II. A point with high leverage, such as one with an x-value far from the mean of the x-values, can significantly alter the regression line if it deviates from the overall pattern of the data.



III. A data point with a large residual is always an influential point.



Which of the statements is true?