Linear Models
Term · Environment · MLC-T-ENV-015819
Linear models have the form, f(x)=β₀+β₁x₁+β₂x₂+β₃x₃... in which from any number of independent or explanatory variables (i.e., x₁, x₂, x₃....), each independent or explanatory variable in the model is multiplied by an unknown parameter (i.e., β₁, β₂, β₃ ....), 1. there is at most one unknown parameter with no corresponding independent or explanatory variable (i.e., β₀), and 2. all of the individual terms are summed to produce the final function model. Although such a function may not describe a straight line, it is said to be linear in the parameters, because the problem can be reduced to system (i.e., one to many) of algebraic (i.e., linear) equations that can be solved for unique values of the unknown parameters (i.e., β₀, β₁, β₂, β₃ ....).
| Identifier | MLC-T-ENV-015819 |
|---|---|
| Field | Environment |
| Subject | Information management and systems |
| References | CADDIS Glossary |
Record as JSON
{
"id": "MLC-T-ENV-015819",
"term": "Linear Models",
"field": "Environment",
"definition": "Linear models have the form, f(x)=β₀+β₁x₁+β₂x₂+β₃x₃... in which from any number of independent or explanatory variables (i.e., x₁, x₂, x₃....), each independent or explanatory variable in the model is multiplied by an unknown parameter (i.e., β₁, β₂, β₃ ....), 1. there is at most one unknown parameter with no corresponding independent or explanatory variable (i.e., β₀), and 2. all of the individual terms are summed to produce the final function model. Although such a function may not describe a straight line, it is said to be linear in the parameters, because the problem can be reduced to system (i.e., one to many) of algebraic (i.e., linear) equations that can be solved for unique values of the unknown parameters (i.e., β₀, β₁, β₂, β₃ ....).",
"subject": "Information management and systems",
"references": [
"CADDIS Glossary"
],
"url": "https://mlchart.com/terminology/environment/linear-models/"
}
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