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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)

This lecture contains the following topics: 1. Idea of confidence interval, relationship of confidence interval with the testing of hypothesis; 2. Confidence interval estimation for the slope parameter when the error variance is known and when the error variance is unknown; 3. Testing of hypothesis and confidence interval estimation for the intercept term and the error variance.

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