In the following data, X represents the diameter of a ponderosa pine measured at breast height, and Y is a measure of volumenumber of board feet divided by 10. Make a scatterplot of the data. Discuss the appropriateness of using a 13th-degree polynomial that passes through the data points as an empirical model. If you have a computer available, fit a polynomial to the data and graph the results.

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X Y 17 19 20 22 23 25 31 32 33 36 37 38 39 41 19 25 32 51 57 71 141 123 187 192 205 252 248 294