A scatterplot is a type of data display that shows the relationship between two numerical variables. Each member of the dataset gets plotted as a point whose x-y coordinates relates to its values for the two variables.

## Explain Scatterplots and correlation in Details

#### What is a scatterplot?

A scatterplot is a type of data display that shows the relationship between two numerical variables. Each member of the dataset gets plotted as a point whose (x, y)(*x*,*y*)left parenthesis, x, comma, y, right parenthesis coordinates relates to its values for the two variables.

For example, here is a scatterplot that shows the shoe sizes and quiz scores for students in a class:

Each data point is a student whose x*x*x-coordinate gives their shoe size and y*y*y-coordinate gives their quiz score.

#### What is correlation?

We often see patterns or relationships in scatterplots.

When the y*y*y variable tends to increase as the x*x*x variable increases, we say there is a **positive correlation** between the variables.

\greenD{\text{Positive correlation}}

#### Examples

E1. The graph shown below shows the relationship between the age of drivers and the number of car accidents per 100100100 drivers in the year 200920092009.

**What is the best description of this relationship?**

**Negative Linear Correlation**

E2. The graph below shows the relationship between test grades and shoe sizes of the students in Dexter’s class.

**What is the best description of this relationship?**

**No association**

E3. The graph shown below describes the change in the average temperature of the world over time.

**What is the best description of this relationship?**

**Positive linear correlation**

##### Conclusion:

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