## Round the clock linear and nonlinear regression assignment help

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### ● Parametric Fitting

This is the process of finding parameters (coefficients) for a single or several models that can be fit to data. In Parametric fitting, two assumptions are made. First, the data used is statistical in nature. Two, the data is divided into two components, namely random and deterministic. The deterministic component is often described using a parametric model while the random component is the error associated with the data.

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### ● Least Squares Fitting

The least-square technique is employed in the curve fitting toolbox during the process of data fitting. In the least square fitting, a parametric model is required to relate the predictor data with one or more parameters with the response data. The process results in an estimate of the model's coefficients. The least-squares method is used to minimize the residual's summed square. This helps in obtaining the coefficient estimates. MATLAB supports the following types of least-squares fitting:

**✔ Linear least squares**

**✔ Nonlinear least squares**

**✔ Robust least squares**

**✔ Weighted linear least squares**

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### ● Polynomial Models

These types of models come in handy when you need a simple empirical model. A polynomial model can be used for both interpolation and extrapolation. Also, they can characterize data using a global fit. Polynomial fits are advantageous in several ways including data flexibility (the data should be linear and not too complicated). Reasonable flexibility makes the fitting process simple. On the other hand, the major disadvantage of the polynomial fitting is that high-degree fits are likely to be unstable.

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### ● Exponential Models

Exponential models are suitable in cases where the rate of quantity change is directly proportional to the initial quantity amount. To interactively fit exponential models, follow the following steps:

- Go to the app tab in MATLAB and click on curve fitting. Alternatively, you can type cftool and click enter. This will open the curve fitting app
- Choose curve data
- Next, you need to change the type of model from polynomial to exponential

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● Gaussian Models

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