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The height of a plant over time is shown in the table below. Using a logarithmic model, what is the best estimate for the age of the plant when it is 19 inches tall? plant height t, time in months h, height in inches 1 18 2 18. 21 3 18. 33 4 18. 42 5 18. 48 6 18. 54 10 months 14 months 16 months 28 months

Respuesta :

The best estimate for the age of the plant at 19 inches tall height is; 28 months

How to use a logarithmic Model?

We are given the time in months as;

1, 2, 3, 4, 5, 6 months.

We are also given the corresponding heights for those months respectively as; 18.2, 18.21, 18.33, 18.42, 18.46, 18.54

Now, when we punch those values into an online regression calculator, we arrive at the regression equation as;

y = 18.001 + 0.3ln(x)

We want to find the best estimate for the age of the plant at 19 inches tall height. Plugging in 19 for x in the regression equation gives;

y = 18.001 + 0.3ln(19)

Solving theis gives; y = 28 months

Read more about Regression equation at; https://brainly.com/question/26755306

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