4,a,b,c,d,e,f ### 4. Birds' nests and Predator RiskBirds' nests are always in danger from predators. If there are other nests close by, the chances of predators finding the nest increase. The table below shows the probability of a nest being found by predators and the distance to the nearest neighboring nest. (Source: Perrins, 1979)| Distance to nearest neighbor (meters), \( d \) | 20 | 40 | 60 | 80 | 100 ||-------------------------------------------------|----|----|----|----|-----|| Probability of predators (%), \( p \) | 47 | 34 | 32 | 17 | 1.5 |### Tasks:a. **Plot the data and draw your line of best fit.**b. **Using two points on your line, find the equation of the line.**c. **Use the equation of your line to estimate the probability of predators finding a nest if its nearest neighbor is 50 meters away.**d. **If the probability of predators finding a nest is 10%, how far away is its nearest neighbor?**e. **What is the probability of predators finding the nest if its nearest neighbor is 120 meters away? Is your answer reasonable?**f. **In plain English, write a sentence interpreting the slope of your line of best fit.**### Graph Explanation:- **X-axis (Horizontal):** Represents the distance to the nearest neighbor in meters (ranging from 0 to 100 meters).- **Y-axis (Vertical):** Represents the probability of a nest being found by predators as a percentage (ranging from 0% to 50%). - **Data Points:** To be plotted according to the table values.- **Line of Best Fit:** A straight line that best represents the data points plotted on the graph.

Given data: d p 20 47 40 34 60 32 80 17 100 1.5

4. Birds' nests are always in danger from predators. If there are other nests close by, the chances of predators find the nest increase. The table shows the probability of a nest being found by predators and the distance to the nearest neighboring next. (Source: Perrins, 1979) Distance to nearest neighbor (meters), d Probability of predators (%), p 20 40 60 80 C. 100 47 34 32 17 1.5 a. Plot the data and draw your line of best fit. b. Using two points on your line, find the equation of the line. Use the equation of your line estimate the probability of predators finding a nest if its nearest neighbor is 50 meters away. 50- 45 40- 35- 30- 25- 20 15 10- 5- 0 10 20 30 40 50 60 70 80 90 100

4. Birds' nests are always in danger from predators. If there are other nests close by, the chances of predators find the nest increase. The table shows the probability of a nest being found by predators and the distance to the nearest neighboring next. (Source: Perrins, 1979) Distance to nearest neighbor (meters), d Probability of predators (%), p 20 40 60 80 C. 100 47 34 32 17 1.5 a. Plot the data and draw your line of best fit. b. Using two points on your line, find the equation of the line. Use the equation of your line estimate the probability of predators finding a nest if its nearest neighbor is 50 meters away. 50- 45 40- 35- 30- 25- 20 15 10- 5- 0 10 20 30 40 50 60 70 80 90 100

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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Question

4,a,b,c,d,e,f

### 4. Birds' nests and Predator Risk

Birds' nests are always in danger from predators. If there are other nests close by, the chances of predators finding the nest increase. The table below shows the probability of a nest being found by predators and the distance to the nearest neighboring nest. (Source: Perrins, 1979)

| Distance to nearest neighbor (meters), \( d \) | 20 | 40 | 60 | 80 | 100 |
|-------------------------------------------------|----|----|----|----|-----|
| Probability of predators (%), \( p \) | 47 | 34 | 32 | 17 | 1.5 |

### Tasks:

a. **Plot the data and draw your line of best fit.**

b. **Using two points on your line, find the equation of the line.**

c. **Use the equation of your line to estimate the probability of predators finding a nest if its nearest neighbor is 50 meters away.**

d. **If the probability of predators finding a nest is 10%, how far away is its nearest neighbor?**

e. **What is the probability of predators finding the nest if its nearest neighbor is 120 meters away? Is your answer reasonable?**

f. **In plain English, write a sentence interpreting the slope of your line of best fit.**

### Graph Explanation:

- **X-axis (Horizontal):** Represents the distance to the nearest neighbor in meters (ranging from 0 to 100 meters).
- **Y-axis (Vertical):** Represents the probability of a nest being found by predators as a percentage (ranging from 0% to 50%).
- **Data Points:** To be plotted according to the table values.
- **Line of Best Fit:** A straight line that best represents the data points plotted on the graph.

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