Linear Regression Analysis and Forecasting
Linear Regression Analysis and Forecasting. Instructor: Prof. Shalabh, Department of Mathematics and Statistics, IIT Kanpur. Forecasting is an important aspect of any experimental study. The forecasting can be done by finding the model between the input and output variables. The tools of linear regression analysis help in finding out a statistical model between input variables and output variable which in turn provides forecasting. For example, the yield of a crop depends upon the area of crop, quantity of seeds, rainfall etc. The statistical relation between yield and area of crop, quantity of seeds, rainfall etc. can be determined by the regression analysis and forecasting can be done to know the yield in future. The accuracy of forecasting depends upon the goodness of obtained model. What are its steps and checks required to obtain a good model and in turn, how to do forecasting is being aimed to be taught in this course. (from nptel.ac.in)
| Lecture 12 - Estimation of Model Parameters in Multiple Linear Regression Model |
This lecture contains the following topics: 1. Multiple scatter plot; 2. Estimation of model parameters using principle of least squares; 3. Hat matrix and its different properties, fitted values and the concept of residuals.
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