A fisherman has collected data about the length in inches, L, and weight in ounces, w, of fish he has caught. The resulting line of best fit for the data is w=−37.1+3.2L. Would predicting the weight of a 26-inch fish be interpolation or extrapolation? Explain. L 13 14 15 16 18 21 23 23 w 3 10 10 15 20 35 38 45     Using the model to predict the weight of a 26-inch fish is extrapolation because 26 inches is outside the range of the lengths in the data. Using the model to predict the weight of a 26-inch fish is interpolation because 26 inches is inside the range of the lengths in the data. Using the model to predict the weight of a 26-inch fish is extrapolation because 26 inches is inside the range of the lengths in the data. Using the model to predict the weight of a 26-inch fish is interpolation because 26 inches is outside the range of the lengths in the data.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.