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Each given statement contains a blunder. In each case, choose the statement that correctly explains the blunder.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Each given statement contains a blunder. In each case, choose the statement that correctly explains the blunder.

**Answer Bank**

1. Correlation can only measure a relationship between variables with the same units.
2. The correlation must give the units of measure.
3. Correlation requires both variables to be quantitative.
4. The correlation must be a number between -1 and 1.
5. The correlation has no unit of measurement; it is just a number.
6. The correlation must state which variable is the explanatory variable and which variable is the response variable.

**Title: Understanding Common Blunders in Correlation Statements**

Each given statement contains a blunder. In each case, choose the statement that correctly explains the blunder.

1. **"There is a high correlation between the sex of American workers and their income."**

- Blunder: Correlation requires numeric data for both variables. "Sex" is a categorical variable, not numerical.

2. **"We found a high correlation (r = 1.09) between students' ratings of faculty teaching and ratings made by other faculty members."**

- Blunder: The correlation coefficient (r) should range between -1 and 1. A value of 1.09 is invalid.

3. **"The correlation between height and weight of the subjects was r = 0.63 centimeters."**

- Blunder: The correlation coefficient is a unitless measure. It should not be expressed with units like "centimeters."

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