lesson

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If you study more hours for an exam, your score usually climbs. But as you use your phone throughout the day, your battery percentage drops.
When two measurable quantities change together in a recognizable pattern, we say there is an association between them.
πInteractive diagram
How do mathematicians describe the path these dots follow?
Reading the Direction
Just like reading a sentence from left to right, always read a scatter plot from left to right along the horizontal x-axis.
If the dots rise as you move to the right, that is a positive association β as the x-variable increases, the y-variable tends to increase too.
If the dots fall as you move to the right, that is a negative association β as the x-variable increases, the y-variable tends to decrease.
πInteractive diagram
This rule connects directly to slope: an uphill trend has a positive slope, while a downhill trend has a negative slope.
What if two plots both drift upward, but one looks like a neat line while the other looks like a messy swarm of bees?
Measuring the Strength
When the points on a scatter plot settle along a straight line path, we call it a linear association.