Using Linear Regression Method:Background: Atlantic hurricanes form off the western coast of Africa. As warm moist air rises, it begins to rotate around a low-pressure system. This rotation is sustained by warm ocean temperatures and a central low pressure. Once a sustained wind speed of 74 miles per hour is reached, the storm is considered a hurricane. As man-made climate change continues to increase the temperature of the Earth’s oceans, it is expected that the strength of hurricanes will increase.Note: Use equation provided by the graph1. State, in words, the independent variable and dependent variable in this analysis.2. What is the value of the y-intercept? Using your own words, explain what the y-intercept is.3. In this scenario, does the value of the y-intercept make physical sense?4. What is the value of the slope? Using your own words, explain what the slope of a regression equation represents **Regression Plot Description**The image presents a regression plot for analyzing the relationship between an independent variable (x) and a dependent variable (y). **Key Elements of the Plot:**- **Equation of the Line of Best Fit:** - \( y = 942.196 - 0.884 \times x \) - This equation indicates a negative linear relationship, where as x increases, y tends to decrease.- **Coefficient of Determination (R²):** - \( R^2 = 0.768 \) - This value suggests that approximately 76.8% of the variability in the dependent variable (y) is explained by the independent variable (x).- **Data Points:** - Represented by black dots scattered throughout the plot, showing the observed values of x and y.- **Line of Best Fit:** - A solid blue line that represents the predicted relationship between x and y based on the regression analysis.- **Confidence Bands:** - Dashed red lines flanking the line of best fit, which indicate the confidence interval for the regression line.**Axes:**- The horizontal axis represents the **Independent Variable (x)** with values ranging from 900 to 1000.- The vertical axis represents the **Dependent Variable (y)** with values ranging from 80 to 160.This visual representation is a valuable tool for understanding how changes in the independent variable are associated with changes in the dependent variable, and it provides insights into the strength and direction of their relationship.

Answered: Using Linear Regression Method:…

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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Using Linear Regression Method:

Background: Atlantic hurricanes form off the western coast of Africa. As warm moist air rises, it begins to rotate around a low-pressure system. This rotation is sustained by warm ocean temperatures and a central low pressure. Once a sustained wind speed of 74 miles per hour is reached, the storm is considered a hurricane. As man-made climate change continues to increase the temperature of the Earth’s oceans, it is expected that the strength of hurricanes will increase.

Note: Use equation provided by the graph

1. State, in words, the independent variable and dependent variable in this analysis.

2. What is the value of the y-intercept? Using your own words, explain what the y-intercept is.

3. In this scenario, does the value of the y-intercept make physical sense?

4. What is the value of the slope? Using your own words, explain what the slope of a regression equation represents