Relationship

Scatterplot with smoothing curve

Adds a flexible smooth estimate to reveal a possibly nonlinear relationship.

  • Plot
  • Relationship
  • Nonlinear pattern

What it answers

Does the relationship appear nonlinear?

Shape
XY points and smooth curve
What it shows
Curvature and changing association.

Example

The question

How does customer satisfaction change with delivery time?

Delivery time and satisfaction score, with smoothed trend (illustrative)

Delivery time and satisfaction score, with smoothed trend (illustrative)Dots for 25 customer groups and a smoothed curve. Satisfaction holds near 9 up to about 3 days, then falls faster, to about 6 at 10 days.Satisfaction (out of 10)4681002.557.51012.5Days to deliver
Delivery time and satisfaction score, with smoothed trend (illustrative)Dots for 25 customer groups and a smoothed curve. Satisfaction holds near 9 up to about 3 days, then falls faster, to about 6 at 10 days.Satisfaction (out of 10)4681002.557.51012.5Days to deliver
Dots for 25 customer groups and a smoothed curve. Satisfaction holds near 9 up to about 3 days, then falls faster, to about 6 at 10 days.

Illustrative data. It belongs to no company.

When to use it

Use it when

Exploring form without forcing a straight line.

Avoid it when

Sparse observations or smoothing choices that manufacture patterns.

How to read it

Compare the smooth curve with the scatter and inspect data support.

Note

Specify the smoothing method.

The data you need

Layout
Long table
Fields
X: number; Y: number
One row is
One observation with paired numeric measurements. What is the grain?
Rules
X and Y must refer to the same observation. Do not independently sort either column.
Optional
Optional ID,Group,Weight. Binning and smoothing settings belong to chart configuration.
Preparation
Choose and fit a stated smoother, retain raw observations and document the smoothing parameter.
Units
State the unit of every coordinate/variable. A unitless transformed or standardised scale must be identified; no common denominator is assumed.
Example of the input layout: Long tableA long table: one row per observation, few columns. New data adds rows.XYAABBC
A long table: one row per observation, few columns. New data adds rows.

Worked example

Points(1,1),(2,4),(3,9). A suitable smooth may reveal upward curvature; retain points and disclose the method.

XY
210
4100
650