File:inf-regression-effect.png

Figure file · Linear regression

A simulated sample of 1078 father–son pairs, with means 67 and 68 inches, both standard deviations 2.7 inches and correlation 0.5. In the shaded strip at 63 inches most sons are above the dashed line y=x+1; at 71 inches most are below it. The least-squares line has slope near the correlation, well below 1.

A simulated sample of 1078 father–son pairs, with means 67 and 68 inches, both standard deviations 2.7 inches and correlation 0.5. In the shaded strip at 63 inches most sons are above the dashed line y=x+1; at 71 inches most are below it. The least-squares line has slope near the correlation, well below 1.

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Summary

Description. A simulated sample of 1078 father–son pairs, with means 67 and 68 inches, both standard deviations 2.7 inches and correlation 0.5. In the shaded strip at 63 inches most sons are above the dashed line y=x+1; at 71 inches most are below it. The least-squares line has slope near the correlation, well below 1.

Appears in. Linear regression

Made by. Drawn with Python and matplotlib from the example data. One script draws every figure in its section.

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