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

Transcribed Image Text:**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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