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Variable (a) Duration (in minutes) of a call to a customer support line (b) Color vision status (colorblind or not colorblind) (c) Price (in dollars) of a shirt on the clearance rack Type of variable Quantitative O Categorical Quantitative O Categorical O Quantitative O Categorical ses are the most specific possible. Level of measurement O Nominal Oordinal O Interval Ratio O Nominal O Ordinal O Interval O Ratio O Nominal O Ordinal O Interval O Ratio X S

Variable (a) Duration (in minutes) of a call to a customer support line (b) Color vision status (colorblind or not colorblind) (c) Price (in dollars) of a shirt on the clearance rack Type of variable Quantitative O Categorical Quantitative O Categorical O Quantitative O Categorical ses are the most specific possible. Level of measurement O Nominal Oordinal O Interval Ratio O Nominal O Ordinal O Interval O Ratio O Nominal O Ordinal O Interval O Ratio X S

MATLAB: An Introduction with Applications
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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**Understanding Variable Types and Levels of Measurement** This educational resource explains how to classify variables as either quantitative or categorical, and identify their levels of measurement. ### Variable Classification 1. **Duration of a Call to Customer Support Line** - **Type of Variable**: Quantitative - **Level of Measurement**: Ratio - **Explanation**: The duration of a call is a numerical measurement that has a true zero point, meaning a call can be zero minutes long. It demonstrates the ratio level of measurement, as differences and ratios are meaningful. 2. **Color Vision Status (Colorblind or Not Colorblind)** - **Type of Variable**: Categorical - **Level of Measurement**: Nominal - **Explanation**: Color vision status is a categorical variable with no intrinsic order, classified nominally. It simply distinguishes between colorblind and not colorblind without suggesting any ranking. 3. **Price of a Shirt on the Clearance Rack** - **Type of Variable**: Quantitative - **Level of Measurement**: Ratio - **Explanation**: The price of a shirt is a numeric variable that can be assessed in terms of how much more one shirt costs over another. This ratio level allows for comparing differences and computing ratios. ### Key Concepts - **Quantitative Variables**: These are numerical and can be measured in terms of magnitude. Commonly assessed using interval or ratio measurements. - **Categorical (Qualitative) Variables**: These describe qualities or categories. They are classified using nominal or ordinal scales. - **Nominal Level**: Used for labeling variables without any quantitative value (e.g., gender, color vision status). - **Ordinal Level**: Reflects ordered categories but does not specify the distance between them. - **Interval Level**: Uses numerical values to show order, but lacks a true zero point (e.g., temperature in Celsius). - **Ratio Level**: Similar to interval, but with a meaningful zero, allowing for the calculation of ratios (e.g., duration, price). This understanding is crucial for analyzing data accurately in studies and research.
Transcribed Image Text:**Understanding Variable Types and Levels of Measurement** This educational resource explains how to classify variables as either quantitative or categorical, and identify their levels of measurement. ### Variable Classification 1. **Duration of a Call to Customer Support Line** - **Type of Variable**: Quantitative - **Level of Measurement**: Ratio - **Explanation**: The duration of a call is a numerical measurement that has a true zero point, meaning a call can be zero minutes long. It demonstrates the ratio level of measurement, as differences and ratios are meaningful. 2. **Color Vision Status (Colorblind or Not Colorblind)** - **Type of Variable**: Categorical - **Level of Measurement**: Nominal - **Explanation**: Color vision status is a categorical variable with no intrinsic order, classified nominally. It simply distinguishes between colorblind and not colorblind without suggesting any ranking. 3. **Price of a Shirt on the Clearance Rack** - **Type of Variable**: Quantitative - **Level of Measurement**: Ratio - **Explanation**: The price of a shirt is a numeric variable that can be assessed in terms of how much more one shirt costs over another. This ratio level allows for comparing differences and computing ratios. ### Key Concepts - **Quantitative Variables**: These are numerical and can be measured in terms of magnitude. Commonly assessed using interval or ratio measurements. - **Categorical (Qualitative) Variables**: These describe qualities or categories. They are classified using nominal or ordinal scales. - **Nominal Level**: Used for labeling variables without any quantitative value (e.g., gender, color vision status). - **Ordinal Level**: Reflects ordered categories but does not specify the distance between them. - **Interval Level**: Uses numerical values to show order, but lacks a true zero point (e.g., temperature in Celsius). - **Ratio Level**: Similar to interval, but with a meaningful zero, allowing for the calculation of ratios (e.g., duration, price). This understanding is crucial for analyzing data accurately in studies and research.
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