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 uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. It is the primary tool for visualizing the relationship (correlation) between two variables.

Correlation types:
• Positive: As X increases, Y increases (uphill pattern).
• Negative: As X increases, Y decreases (downhill pattern).
• No Correlation: No apparent pattern.

This tool also calculates the Correlation Coefficient (r). Keep in mind: "Correlation does not imply causation" - just because two things move together doesn't mean one causes the other.

Perfect for analyzing data like temperature vs. ice cream sales, or study time vs. exam grades.

How To Use

  1. Enter an X value and a Y value (e.g., Height and Weight).
  2. Click Add.
  3. Repeat for at least 3 points.
  4. See the plot and calculated correlation.

Frequently Asked Questions

What is correlation?+

It measures the strength and direction of a linear relationship between two variables. Values range from -1 (perfect negative) to +1 (perfect positive). 0 means no correlation.

What is the 'Line of Best Fit'?+

A straight line drawn through the center of a group of data points that best represents the trend. It's used for making predictions.

Does correlation prove causation?+

No! Ice cream sales and shark attacks both rise in summer (correlation), but ice cream doesn't cause shark attacks. A third variable (heat) causes both.

What is a 'Strong' correlation?+

Generally, an 'r' value above 0.7 or below -0.7 is considered strong. Between 0.3 and 0.7 is moderate. Below 0.3 is weak.

Can I use scatter plots for categorical data?+

No, scatter plots require two continuous numerical variables (numbers vs numbers). For categories, use bar charts.

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.

About

A Scatter Plot uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. It is the primary tool for visualizing the relationship (correlation) between two variables.

Correlation types:
• Positive: As X increases, Y increases (uphill pattern).
• Negative: As X increases, Y decreases (downhill pattern).
• No Correlation: No apparent pattern.

This tool also calculates the Correlation Coefficient (r). Keep in mind: "Correlation does not imply causation" - just because two things move together doesn't mean one causes the other.

Perfect for analyzing data like temperature vs. ice cream sales, or study time vs. exam grades.

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