**Problem 2:**1. **Data Analysis and Scatter Plot Construction** - The table below shows data obtained in a study involving the number of fireworks (in millions) used and the number of related injuries. Construct a scatter plot for the data set.2. **Correlation Coefficient Calculation** - Find the value of the linear correlation coefficient \( r \). **Analyze** this value to identify the type of relationship these data values have.3. **Regression Line Calculation** - Find the slope \( b \) and the y-intercept \( a \) of the regression line.4. **Graph the Regression Line** - Graph the regression line.5. **Prediction Using the Regression Line** - Predict the number of related injuries if 240 million fireworks are used.6. **Hypothesis Testing** - Run a hypothesis test to determine if there is a linear relationship between the two variables.**Data Table:**| Number of fireworks used (\( X \)) | Number of related injuries (\( Y \)) ||------------------------------------|-------------------------------------|| 213.9 | 8800 || 205.9 | 8600 || 234.1 | 9600 || 207.5 | 8600 || 186.4 | 11,400 || 225.3 | 10,500 |**Graph Explanation:**- A scatter plot would be constructed using the above data, with the x-axis representing the number of fireworks used (in millions) and the y-axis representing the number of related injuries.- Plot the points on the graph, each corresponding to a pair of values from the table.- Add the regression line once calculated to visualize the linear relationship.

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The table below shows data obtained in a study involving the number of fireworks (in millions) used and the number of related injuries. Construct a scatter plot for the data set. Find the value of the linear correlation coefficientr. Analyze this value to identify the type of relationship these data values have. Find the slope b and the y-intercept a of the regression line.

The table below shows data obtained in a study involving the number of fireworks (in millions) used and the number of related injuries. Construct a scatter plot for the data set. Find the value of the linear correlation coefficientr. Analyze this value to identify the type of relationship these data values have. Find the slope b and the y-intercept a of the regression line.

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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