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  • https://stats.libretexts.org/Courses/American_River_College/STAT_300%3A_My_Introductory_Statistics_Textbook_(Mirzaagha)/03%3A_Regression_Analysis/3.03%3A_Correlation_and_Linear_Regression/3.3.08%3A_Extrapolation
    When using the model to make predictions, care must be taken to only choose values of X that are in the range of X values of the data. In the rainfall/sales example, the values of X range ...When using the model to make predictions, care must be taken to only choose values of X that are in the range of X values of the data. In the rainfall/sales example, the values of X range from 10 to 40 inches of rainfall. Choosing a value of X outside this range is called extrapolation and could lead to invalid results. For example, if we use the model to predict sales for a city with 80 inches of rainfall, we get an impossible negative result for sales: ˆY=45.647.767X

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