This table shows the relationship between the diameter, x, in inches, and the height, y, in feet, of trees in a national park. Diameter, x 8.3 10.5 11 12 12.9 14 16.3 17.3 17.9 18 Height, y 70 72 75 75 74 78 77 81 80 81 What linear function best models the data in this table? Based on the model, what is the approximate height of a tree with a diameter of 22 inches? The data is best modeled by the function . Based on the linear model, the approximate height of a tree with a diameter of 22 inches is feet. The correlation coefficient for this model is 0.95, indicating that it a good model of the data.

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27-01-2022
Mathematics

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This table shows the relationship between the diameter, x, in inches, and the height, y, in feet, of trees in a national park. Diameter, x 8.3 10.5 11 12 12.9 14 16.3 17.3 17.9 18 Height, y 70 72 75 75 74 78 77 81 80 81 What linear function best models the data in this table? Based on the model, what is the approximate height of a tree with a diameter of 22 inches? The data is best modeled by the function . Based on the linear model, the approximate height of a tree with a diameter of 22 inches is feet. The correlation coefficient for this model is 0.95, indicating that it a good model of the data.

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nia24carter nia24carter · Answer 1 · 2022-02-03T14:09:36+01:00

Answer:

Using technology, the linear function that best models this set of data is .

To find the approximate height of a tree with a diameter of 22 inches, substitute 22 for x in the linear model and solve for y.

So based on the model, the approximate height of a tree with a diameter of 22 inches is 84 feet.

The correlation coefficient, r, is a value between 0 and 1 that shows how well a linear function models a data set. The r value of 0.95 is very close to 1, indicating that it is a good model of the data.

Step-by-step explanation:

Using technology, the linear function that best models this set of data is .

To find the approximate height of a tree with a diameter of 22 inches, substitute 22 for x in the linear model and solve for y.

So based on the model, the approximate height of a tree with a diameter of 22 inches is 84 feet.

The correlation coefficient, r, is a value between 0 and 1 that shows how well a linear function models a data set. The r value of 0.95 is very close to 1, indicating that it is a good model of the data.