Q. 4.8 - Elementary Statistics

Question

Shortleaf Mines. The ability to estimate the volume of a tree based on a simple measurement, such as the tree's diameter, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet. and diameter at breast height, in inches, for $70$ shortlist pics were reported in C. Bruce and F. X. Schumacher's hopes Mensuration (New York: McGraw-Hill. $1935$) and analyzed by A. C. Atkinson in the article "Transforming Both Sides of a Tree" (The Anarricas Slasisiciun, Vol, 48, PD. $307-312$), The data are presented on the WeissStats site.

a. Obtain a scatterplot for the dater.

h. Decide whether finding a depression lime for the data is reasonable. If so, then also do jurras (e) (f.

Step-by-Step Solution

Answer

a)  The scatter plot is

b) No 

Part (a) Step 1: Given Information

To determine the scatterplot for the given data.

Part (a) Step 2: Explanation

The MINITAB can be used to create a scatterplot like follows:

- Save the data in the $x$ and $y$ columns, correspondingly.

- Select Scatter plot from the graph menu.

- Select the Scatter Plot With Connect Lines option.

- In the $y$ variables text box, type Volume as a column.

- In the $x$ variables text box, specify the Diameter column.

- Select OK.

The scatterplot can be made as follows:

Part (b)Step 1: Given Information

To determine whether the evaluation of the regression line is reasonable or not.

Part (b) Step 2: Explanation

No, finding a regression line for the supplied data is not reasonable because there is no linear pattern. Furthermore, the data looks to be on the rise.

As a result, the data does not appear to represent a linear pattern.

As a result, portions (c) through (f) are omitted.