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AI•Machine Learning

Linear Graphs

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Linear Graphs

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Machine Learning often uses line graphs to show relationships.

Formula

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.

Formula

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"
}];

Formula

// Define Layout const layout = {title: "y = x"};

// Display using Plotly

Plotly.newPlot("myPlot", data, layout);

Slope

The slope is the angle of the graph.

The slope is the a

value in a linear graph: y = a x 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);

Intercept

The

Intercept is the start value of the graph.

The intercept is the b

value in a linear graph:

Formula

y = ax +

b

Formula

In this example, slope = 1.2 and intercept

=

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);

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