Posts Tagged ‘straight’

Best-Fitting Lines

Thursday, November 12th, 2009

How to Draw Best-Fitting Lines

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Description

A detailed tutorial on how to draw best-fitting lines. Step by step tutorial including several examples on how to draw best-fitting lines for reference.

Overview

Best-fitting lines are lines that are drawn on a graph or on scatter plots. However, a best-fitting line is different than a normal line found on a graph. A normal graph simply requires you to connect the dots. A best fitting line focuses not on what dots to connect, but how to connect them. The line will curve or go in different directions, not just straight to the other line, depending on the relationship of the two dots to each other. Best-fitting lines typically require more information than simply the graph, you must explore the equation and each point to find the true relationships, and from that you can find the best-fitting line.

Linear Regression

Friday, October 9th, 2009

Introduction to Linear Regression

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Description

A detailed tutorial on linear regression. Step by step tutorial including several example problems of linear regression for reference.

Overview

Regression is a type of analysis that is used for analyzing several variables when the focus is on a dependent variable and one or more independent variables. Linear regression is when the dependent variable is a linear combination of the parameters. It can be used for both straight lines and parabolas, and each has a different formula.

Straight Line: y_i=\beta_0 +\beta_1 x_i +\varepsilon_i,\quad i=1,\dots,N.\!

Parabola: y_i=\beta_0 +\beta_1 x_i +\beta_2 x_i^2+\varepsilon_i,\ i=1,\dots,N.\!

Oblique Asymptotes

Tuesday, October 6th, 2009

How to Find Oblique Asymptotes

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Description

A detailed tutorial on how to find oblique asymptotes. Step by step tutorial including several examples of how to find oblique asymptotes for reference.

Overview

There are several different types of asymptotes. In this tutorial, we will be discussing oblique asymptotes. In order to find the oblique asymptotes of a function, you must first determine if the asymptote slants. If the numerator of a rational function has exactly one degree greater than the denominator, then the function slants and therefore has an oblique asymptote. When you divide the numerator and the denominator, the term or polynomial you get is the oblique asymptote.

Horizontal Asymptotes

Tuesday, September 29th, 2009

How to Find Horizontal Asymptotes

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Description

 

A detailed tutorial on how to find horizontal asymptotes. Step by step tutorial including several examples of how to find horizontal asymptotes for reference.

 

Overview

 

 

There are several different types of asymptotes. In this tutorial, we will be discussing horizontal asymptotes. In order to find the horizontal asymptotes of a function, take the limit of the function to infinity. Every function has a horizontal asymptote if it has a limit to infinity. The limit is your horizontal asymptote.

 

Vertical Asymptotes

Tuesday, September 29th, 2009

How to Find Vertical Asymptotes

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Description

A detailed tutorial on how to find vertical asymptotes. Step by step tutorial including several examples of how to find vertical asymptotes for reference.

Overview

There are several different types of asymptotes. In this tutorial, we will be discussing vertical asymptotes. In order to find the vertical asymptotes of a function, we must first determine if there is a vertical asymptote. There is only a vertical asymptote if the limit of the function is equal to positive or negative infinity. If that is true, then the limit will reveal the vertical asymptote.

Asymptotes

Tuesday, September 29th, 2009

Introduction to Asymptotes

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Description

A detailed tutorial on how to find asymptotes. Step by step tutorial including several examples of how to find asymptotes for reference.

Overview

An asymptote of a curve is a way of describing the behavior of the curve above the origin by comparing it to another curve. The second curve is considered an asymptote of the first if the distance between the two approaches zero as the points themselves extend to infinity. Another way of describing this is that the first curve gets closer to the second as it gets farther from the origin. If the asymptote is a straight line, it is called a linear asymptote.