Linear Graphs
Machine Learning often uses line graphs to show relationships.
A line graph displays the values of a linear function: y = ax + b
Important keywords:
- Linear (Straight)
- Slope (Angle)
- Intercept (Start value)
Linear
Linear means straight. A linear graph is a straight line.
The graph consists of two axes: x-axis (horizontal) and y-axis (vertical).
Example
const xValues = [];
const yValues = [];
// Generate values
for (let x = 0; x <= 10; x += 1) {
xValues.push(x);
yValues.push(x);
}
// Define Data
const data = [{
x: xValues,
y: yValues,
mode: "lines"
}];
// Define Layout
const layout = {title: "y = x"};
// Display using Plotly
Plotly.newPlot("myPlot", data, layout);
Try it Yourself »
Slope
The slope is the angle of the graph.
The slope is the a value in a linear graph:
y = ax
In this example, slope = 1.2:
Example
let slope = 1.2;
const xValues = [];
const yValues = [];
// Generate values
for (let x = 0; x <= 10; x += 1) {
xValues.push(x);
yValues.push(x * slope);
}
// Define Data
const data = [{
x: xValues,
y: yValues,
mode: "lines"
}];
// Define Layout
const layout = {title: "Slope=" + slope};
// Display using Plotly
Plotly.newPlot("myPlot", data, layout);
Try it Yourself »
Intercept
The Intercept is the start value of the graph.
The intercept is the b value in a linear graph:
y = ax + b
In this example, slope = 1.2 and intercept = 2:
Example
let slope = 1.2;
let intercept = 7;
const xValues = [];
const yValues = [];
// Generate values
for (let x = 0; x <= 10; x += 1) {
xValues.push(x);
yValues.push(x * slope + intercept);
}
// Define Data
const data = [{
x: xValues,
y: yValues,
mode: "lines"
}];
// Define Layout
const layout = {title: "Slope=" + slope + " Intercept=" + intercept};
// Display using Plotly
Plotly.newPlot("myPlot", data, layout);
Try it Yourself »
