## 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 15 - Testing of Hypothesis (cont.), Goodness of Fit of the Model |

This lecture includes the following topics: 1. Testing of hypothesis for individual parameters; 2. Simultaneous confidence interval of regression coefficients; 3. Idea of coefficient of determination (simple and adjusted) as a measure to determine the goodness of fit of the model.

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