Which sentence is NOT TRUE about Non-linear Regression?


a. Nonlinear regression is a method to model non linear relationship between the dependent variable and a set of independent variables.

b. For a model to be considered non-linear, y must be a non-linear function of the parameters.

c. Non-linear regression must have more than one dependent variable.

Respuesta :

Answer:

Option(c) is the correct answer to the given question .

Step-by-step explanation:

The nonlinear regression is a type of  technique of the analysis of the regression where the observational information is based on a function that is the nonlinear variation of the parameter values.

There are following properties of Non-linear Regression that are mention below

  • The nonlinear regression depends on one or more then one independent variables but not must its not compulsory that they are depend  more than one dependent variable.
  • The y must be a non-linear function of a variables then that model to be known as non-linear.
  • The option(a) and option(b) is correct for non linear regression but according to question these options are incorrect .
  • So according to the question the option(c) is correct .

A regression equation may either be linear or non-linear.

For a non-linear regression, the statement that is not true is (c) non-linear regression must have more than one dependent variable.

A regression model (whether linear or non-linear) may have more than one dependent variable.

In this case, such model is called the Multivariate Multiple Regression.

However, this is not a must.

Hence, the statement that is not true is (c)

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