Statistics Tool
Scatter Plot Generator
Plot X vs Y correlations.
(10, 20)
(15, 35)
(20, 45)
(25, 50)
(30, 70)
Σ The Formula
Correlation: r = Σ((x - x̄)(y - ȳ)) / √(Σ(x - x̄)² × Σ(y - ȳ)²)
Real World Examples
Height vs Weight
Points: (160, 60), (170, 70), (180, 80) → Positive Correlation
Study vs Errors
Points: (1h, 10), (2h, 8), (5h, 2) → Negative Correlation
No Correlation
Points: (1, 5), (2, 9), (3, 1), (4, 8) → Random scatter
Perfect Linear
Points: (1, 2), (2, 4), (3, 6) → r = 1
# About This Calculator
A Scatter Plot (or scattergram) is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. The data are displayed as a collection of points, each having the value of one variable determining the position on the horizontal axis and the value of the other variable determining the position on the vertical axis.
It is the primary tool used by data scientists and statisticians to visualize the correlation (relationship) between two variables.
Types of Correlation
- Positive: As X increases, Y increases (uphill trend). Example: Height vs Weight.
- Negative: As X increases, Y decreases (downhill trend). Example: Speed vs Time to destination.
- None: No apparent pattern. The points are scattered randomly. Example: IQ vs Shoe size.
How To Use
- Enter an X value (horizontal) and a Y value (vertical).
- Click **Add** to plot the point.
- Add at least 3-5 points to see a trend.
- Hover over points to see their exact coordinates.
Frequently Asked Questions
What does the 'Line of Best Fit' tell me?+
The line of best fit (or trendline) represents the general direction of the data. It minimizes the distance between the line and all the data points. It is used to make predictions for values you haven't measured.
What is the Correlation Coefficient (r)?+
It is a number between -1 and 1 that describes the strength and direction of the linear relationship. r=1 is a perfect positive line, r=-1 is a perfect negative line, and r=0 means no linear relationship.
Does correlation imply causation?+
No! Just because two things are correlated doesn't mean one causes the other. For example, ice cream sales and forest fires are correlated (both happen in summer), but eating ice cream doesn't start fires.
When should I use a scatter plot?+
Use it when you have two continuous numerical variables and you want to see if they are related. Do NOT use it if one variable is a category (like 'Dog', 'Cat')—use a bar chart instead.
What is an Outlier in a scatter plot?+
An outlier is a point that falls far away from the main cluster of points or the trendline. It represents an unusual observation that doesn't fit the general pattern.
Is Scatter Plot Generator free to use?+
Yes, Scatter Plot Generator on Matheric is completely free to use. We believe in accessible education and utility for everyone.