Influential points.

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Presentation transcript:

Influential points

Outlier – In a regression setting, an outlier is a data point with a large residual

Influential point- A point that influences where the LSRL is located If removed, it will significantly change the slope of the LSRL

Racket Resonance Acceleration (Hz) (m/sec/sec) 1 105 36.0 2 106 35.0 3 110 34.5 4 111 36.8 5 112 37.0 6 113 34.0 7 113 34.2 8 114 33.8 9 114 35.0 10 119 35.0 11 120 33.6 12 121 34.2 13 126 36.2 14 189 30.0 One factor in the development of tennis elbow is the impact-induced vibration of the racket and arm at ball contact. Sketch a scatterplot of these data. Calculate the LSRL & correlation coefficient. Does there appear to be an influential point? If so, remove it and then calculate the new LSRL & correlation coefficient.

Which of these measures are resistant? LSRL Correlation coefficient Coefficient of determination NONE – all are affected by outliers