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A species of tree grows quickly when it is young and then the growth rate slows as it reaches maturity. This is a logarithmic model.

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A species of tree grows quickly when it is young and then the growth rate slows as it reaches maturity. This is a logarithmic model. Below gives the average height in feet of 12 individual trees of this species. The first measurements were taken in year one and the last in year 10. Determine the logarithmic regression model for the data and predict the average height in year 15. Round the coefficients in the regression equation to 3 decimal places and the predicted average height to 2 decimal places. Year 2 3 4 5 6 7 8 9 10 Average 7.1 13.68 17.99 20.56 22.89 25.02 26.46 27.89 29.07 30.03 Height The regression equation is y The predicted average height in year 15 is feet

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