## Math Problem Statement

- The height (in feet) and volume of usable lumber (in cubic feet) of 32 cherry trees are measured by a researcher. The goal is to determine if volume of usable lumber can be estimated from the height of a tree. The results are plotted below.

(a) In this study, the response variable (y) is

A. volume.

B. height.

C. neither height nor volume. The measuring instrument used to measure height is the response variable.

D. height or volume. It doesn't matter which is considered the response.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Regression Analysis

Scatter Plot

Correlation

### Formulas

Linear regression formula: y = mx + b

### Theorems

Least Squares Regression Theorem

### Suitable Grade Level

Grades 9-12

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