Explain Scatterplots and correlation in Details – Networking Funda

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 xxx-coordinate gives their shoe size and yyy-coordinate gives their quiz score.

What is correlation?

We often see patterns or relationships in scatterplots.

When the yyy variable tends to increase as the xxx 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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