A) Plot arm span vs height, do a linear fit. What trend do you see? Discuss the value of the slope and whether this makes sense or not B) What do the mean value of height and standard deviation tell you about the group? The image presents a table with statistical data related to height measurements.**Table: Height Statistics**| Height | Mean | Standard Deviation ||--------|--------|--------------------|| | 186.26 | 1.202 |**Description:**- **Mean**: The average height is 186.26.- **Standard Deviation**: The variation or dispersion of the height data is 1.202.Both the mean and standard deviation values are highlighted in yellow, indicating their importance. ### Arm Span and Height Comparison TableThe table below presents a comparison of arm span and height measurements for three individuals. Understanding the relationship between these two measurements can be important in various fields, including biology, sports science, and ergonomics.| Name | Arm Span (cm) | Height (cm) ||---------|---------------|-------------|| Member 1 | 182.88 | 185.4 || Member 2 | 190.5 | 187.96 || Member 3 | 190.5 | 185.42 |**Explanation:**- **Arm Span:** This is the measurement from fingertip to fingertip when arms are extended horizontally. It's often similar to a person's height.- **Height:** This is the measurement from the base of the feet to the top of the head when standing upright.**Observations:**- Member 1 has a slightly smaller arm span than height.- Member 2 has an arm span greater than their height.- Member 3 has an arm span equal to Member 2, suggesting similar arm lengths, but a slightly shorter height than Member 2. This data can be useful for examining correlations or making predictions about morphological characteristics in different contexts.

Given: n = 3 Formula Used: Slope b = n∑XY-∑X∑Yn∑X2-∑X2

Answered: A) Plot arm span vs height, do a linear…

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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A) Plot arm span vs height, do a linear fit. What trend do you see? Discuss the value of the slope and whether this makes sense or not

B) What do the mean value of height and standard deviation tell you about the group?

The image presents a table with statistical data related to height measurements.

**Table: Height Statistics**

| Height | Mean | Standard Deviation |
|--------|--------|--------------------|
| | 186.26 | 1.202 |

**Description:**

- **Mean**: The average height is 186.26.
- **Standard Deviation**: The variation or dispersion of the height data is 1.202.

Both the mean and standard deviation values are highlighted in yellow, indicating their importance.

### Arm Span and Height Comparison Table

The table below presents a comparison of arm span and height measurements for three individuals. Understanding the relationship between these two measurements can be important in various fields, including biology, sports science, and ergonomics.

| Name | Arm Span (cm) | Height (cm) |
|---------|---------------|-------------|
| Member 1 | 182.88 | 185.4 |
| Member 2 | 190.5 | 187.96 |
| Member 3 | 190.5 | 185.42 |

**Explanation:**
- **Arm Span:** This is the measurement from fingertip to fingertip when arms are extended horizontally. It's often similar to a person's height.
- **Height:** This is the measurement from the base of the feet to the top of the head when standing upright.

**Observations:**
- Member 1 has a slightly smaller arm span than height.
- Member 2 has an arm span greater than their height.
- Member 3 has an arm span equal to Member 2, suggesting similar arm lengths, but a slightly shorter height than Member 2.

This data can be useful for examining correlations or making predictions about morphological characteristics in different contexts.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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