I need help with the plotting and this question.Compute r. (Round your answer to three decimal places.) **Determining the Weight of a Healthy Shetland Pony: An Investigation****Introduction**Understanding the weight of a healthy Shetland pony at various ages helps in monitoring their growth and ensuring their well-being. Here, we examine the relationship between the age of the pony (in months) and its average weight (in kilograms).**Dataset**Consider the following dataset:- $ x $: age of the pony in months- $ y $: average weight of the pony in kilograms| $ x $ | 3 | 6 | 12 | 14 | 23 ||--------|---|---|----|----|----|| $ y $ | 60 | 95 | 140 | 168 | 173 |**Objective**(a) Create a scatter diagram of the data and determine the best-fit line.**Scatter Diagram Instructions**1. **Graphing Tool Interface:** - On the left side of the graphing tool interface, various tools are available for plotting and modifying graph elements.2. **Plotting Points:** - Plot the data points corresponding to the age and weight pairs: - (3, 60) - (6, 95) - (12, 140) - (14, 168) - (23, 173)3. **Best-Fit Line:** - After plotting the points, draw a line that best represents the trend of the data. This line should minimize the distance between itself and all the data points (i.e., the least squares method).**Graph Explanation**- **X-Axis (Horizontal Axis):** Represents the age of the pony in months.- **Y-Axis (Vertical Axis):** Represents the average weight of the pony in kilograms.- **Scatter Points:** Display individual data points given in the dataset.- **Graph Layers Panel:** Allows for the adjustment and management of graph properties, ensuring clarity and precision in data representation.**Conclusion**Creating a scatter diagram helps visualize the growth trend of Shetland ponies over time. A best-fit line provides a generalized model to predict the weight of a pony at any given age within the observed range. This graphical approach is essential for veterinary care, breeding programs, and ensuring the overall health of Shetland ponies.

Introduction: Consider that there are n pairs of observations of variables the x and y. The formula…

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I need help with the plotting and this question. Compute r. (Round your answer to three decimal places.)

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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Equations and inequalities describe the relationship between two mathematical expressions.

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I need help with the plotting and this question.

Compute r. (Round your answer to three decimal places.)

**Determining the Weight of a Healthy Shetland Pony: An Investigation**

**Introduction**

Understanding the weight of a healthy Shetland pony at various ages helps in monitoring their growth and ensuring their well-being. Here, we examine the relationship between the age of the pony (in months) and its average weight (in kilograms).

**Dataset**

Consider the following dataset:
- $ x $: age of the pony in months
- $ y $: average weight of the pony in kilograms

| $ x $ | 3 | 6 | 12 | 14 | 23 |
|--------|---|---|----|----|----|
| $ y $ | 60 | 95 | 140 | 168 | 173 |

**Objective**

(a) Create a scatter diagram of the data and determine the best-fit line.

**Scatter Diagram Instructions**

1. **Graphing Tool Interface:**
- On the left side of the graphing tool interface, various tools are available for plotting and modifying graph elements.

2. **Plotting Points:**
- Plot the data points corresponding to the age and weight pairs:
- (3, 60)
- (6, 95)
- (12, 140)
- (14, 168)
- (23, 173)

3. **Best-Fit Line:**
- After plotting the points, draw a line that best represents the trend of the data. This line should minimize the distance between itself and all the data points (i.e., the least squares method).

**Graph Explanation**

- **X-Axis (Horizontal Axis):** Represents the age of the pony in months.
- **Y-Axis (Vertical Axis):** Represents the average weight of the pony in kilograms.
- **Scatter Points:** Display individual data points given in the dataset.
- **Graph Layers Panel:** Allows for the adjustment and management of graph properties, ensuring clarity and precision in data representation.

**Conclusion**

Creating a scatter diagram helps visualize the growth trend of Shetland ponies over time. A best-fit line provides a generalized model to predict the weight of a pony at any given age within the observed range. This graphical approach is essential for veterinary care, breeding programs, and ensuring the overall health of Shetland ponies.

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