Hey, guys! Today, we’re talking about scatterplots and how to interpret them. π

**How Do You Interpret the Type of Association Between Variables in a Scatterplot?Β **

A **scatterplot** is a graph that shows the relationship between two variables. The type of association between the variables can be positive, negative, linear, non-linear, strong, or weak. π

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**positive association**means that as one variable increases, the other variable also increases. - A
**negative association**means that as one variable increases, the other variable decreases. - A
**linear association**means that the relationship between the variables is straight and consistent. - A
**non-linear association**means that the relationship between the variables is curved or irregular. - A
**strong association**means that the variables are closely related, while a weak association means that the variables are not closely related. π

For example, if you were looking at a scatterplot that shows the relationship between hours of sleep and Grade Point Average (GPA), a positive association would mean that students who get more sleep tend to have higher GPAs. A negative association would mean that students who get less sleep tend to have higher GPAs. A linear association would mean that the relationship between hours of sleep and GPA is straight and consistent. A non-linear association would mean that the relationship between hours of sleep and GPA is curved or irregular. A strong association would mean that the variables are closely related, while a weak association would mean that the variables are not closely related. π

###### What Do the Shape and Tilt of the Cloud of Points in a Scatterplot Describe?

The** shape **and** tilt of the cloud of points** in a scatterplot describe the strength and direction of the relationship between two variables. π If the cloud of points is tilted upward from left to right, then there is a positive association between the variables. If the cloud of points is tilted downward from left to right, then there is a negative association between the variables. The shape of the cloud of points can also indicate whether the association is linear or non-linear. π

A trend line is a straight line that represents the overall pattern in a scatterplot. You can draw a trend line by visually estimating the line of best fit or by using a regression analysis to find the mathematical equation of the line. π§ The line should be drawn so that it passes through the middle of the cloud of points and captures the overall trend of the data. π

So there you have it, guys! To interpret a scatterplot, look at the type of association between the variables (positive, negative, linear, non-linear, strong, or weak). The shape and tilt of the cloud of points describe the strength and direction of the relationship between the variables. And to draw a trend line, estimate the line of best fit or use regression analysis to find the mathematical equation of the line. ππ§π