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(b) Construct a relative frequency marginal distribution. Relative frequency marginal distribution X1 X2 X3 Y1 20 25 50 Y2 30 25 50 Relative frequency marginal distribution (Round to three decimal places as needed.) 1

(b) Construct a relative frequency marginal distribution. Relative frequency marginal distribution X1 X2 X3 Y1 20 25 50 Y2 30 25 50 Relative frequency marginal distribution (Round to three decimal places as needed.) 1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Part "B" please

### Understanding Frequency and Relative Frequency Marginal Distributions Consider the following data set presented in the accompanying table. We'll complete parts (a) through (d) based on this data. --- #### Frequency Marginal Distribution **Data Table:** - \( y_1 \) and \( y_2 \) are categories - \( x_1, x_2, x_3 \) are subcategories with associated frequencies | | \( x_1 \) | \( x_2 \) | \( x_3 \) | Marginal Distribution | |---------|----------|----------|----------|-----------------------| | \( y_1 \) | 20 | 25 | 50 | 95 | | \( y_2 \) | 30 | 25 | 50 | 105 | | **Marginal Distribution** | 50 | 50 | 100 | 200 | The marginal distribution totals the frequency counts across rows and columns: - \( y_1 \) total is 95 - \( y_2 \) total is 105 - \( x_1 \) total is 50 - \( x_2 \) total is 50 - \( x_3 \) total is 100 - Overall total is 200 #### Relative Frequency Marginal Distribution The relative frequency is calculated by dividing each frequency by the total frequency (200) and rounding to three decimal places. **Table:** | | \( x_1 \) | \( x_2 \) | \( x_3 \) | Relative Frequency Marginal Distribution | |------------------------|----------|----------|----------|------------------------------------------| | \( y_1 \) | 20 | 25 | 50 | | | \( y_2 \) | 30 | 25 | 50 | | | **Relative Frequency Marginal Distribution** | | | | 1 | - Calculate each cell by: \(\text{frequency} / 200\) - Sum of all relative frequencies equals 1 This exercise demonstrates the translation of frequency data into relative frequencies and aids in understanding data distribution in different categories. --- Complete all calculations for comprehension as needed.
Transcribed Image Text:### Understanding Frequency and Relative Frequency Marginal Distributions Consider the following data set presented in the accompanying table. We'll complete parts (a) through (d) based on this data. --- #### Frequency Marginal Distribution **Data Table:** - \( y_1 \) and \( y_2 \) are categories - \( x_1, x_2, x_3 \) are subcategories with associated frequencies | | \( x_1 \) | \( x_2 \) | \( x_3 \) | Marginal Distribution | |---------|----------|----------|----------|-----------------------| | \( y_1 \) | 20 | 25 | 50 | 95 | | \( y_2 \) | 30 | 25 | 50 | 105 | | **Marginal Distribution** | 50 | 50 | 100 | 200 | The marginal distribution totals the frequency counts across rows and columns: - \( y_1 \) total is 95 - \( y_2 \) total is 105 - \( x_1 \) total is 50 - \( x_2 \) total is 50 - \( x_3 \) total is 100 - Overall total is 200 #### Relative Frequency Marginal Distribution The relative frequency is calculated by dividing each frequency by the total frequency (200) and rounding to three decimal places. **Table:** | | \( x_1 \) | \( x_2 \) | \( x_3 \) | Relative Frequency Marginal Distribution | |------------------------|----------|----------|----------|------------------------------------------| | \( y_1 \) | 20 | 25 | 50 | | | \( y_2 \) | 30 | 25 | 50 | | | **Relative Frequency Marginal Distribution** | | | | 1 | - Calculate each cell by: \(\text{frequency} / 200\) - Sum of all relative frequencies equals 1 This exercise demonstrates the translation of frequency data into relative frequencies and aids in understanding data distribution in different categories. --- Complete all calculations for comprehension as needed.
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