Forest Fires and Acres Burned Numbers (In thousands) of forest fires over the year and the number (In hundred thousands) of acres burned for 7 recent years are shown. Number of fires x 72 69 58 47 84 62 57 Number of acres burned y 73 70 59 48 85 63 58 Send data to Excel The correlation coefficlent for the data is r=1 and a=0.05. Should regression analysis be done? O The regression analysis should not be done. O The regression analysis should be done. Find the equation of the regression line. y'=a+bx a = b = Find y' whenx= 40. Continue
Forest Fires and Acres Burned Numbers (In thousands) of forest fires over the year and the number (In hundred thousands) of acres burned for 7 recent years are shown. Number of fires x 72 69 58 47 84 62 57 Number of acres burned y 73 70 59 48 85 63 58 Send data to Excel The correlation coefficlent for the data is r=1 and a=0.05. Should regression analysis be done? O The regression analysis should not be done. O The regression analysis should be done. Find the equation of the regression line. y'=a+bx a = b = Find y' whenx= 40. Continue
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
The correlation for the data is r=1 and a=0.05 should regression analysis be done
Find the equation of the regression line y = a+bx
A=
B=
Find y when x=40
![### Forest Fires and Acres Burned Numbers
In the following table, which contains data for 7 recent years, the number of forest fires (in thousands) and the number of acres burned (in hundred thousands) are shown:
| Number of fires \( x \) | 72 | 69 | 58 | 47 | 84 | 62 | 57 |
| ----------------------- | -- | -- | -- | -- | -- | -- | -- |
| Number of acres burned \( y \) | 73 | 70 | 59 | 48 | 85 | 63 | 58 |
### Data Analysis and Regression
**Correlation and Regression Analysis:**
- The correlation coefficient for the provided data is \( r = 1 \) and \( \alpha = 0.05 \).
- Should regression analysis be done?
1. **The regression analysis should not be done.** (Option selected)
2. **The regression analysis should be done.**
**Finding the Regression Line Equation:**
The general form of the regression line is:
\[ y' = a + bx \]
To find this equation, you need to determine the values of:
- \( a \)
- \( b \)
### Example Calculation:
**Find \( y' \) when \( x = 40 \)**:
\[ \text{To be calculated based on the values of } a \text{ and } b \]
**Submit Assignment** button is provided to save the answers and proceed.
##### Note:
The dataset can be exported to Excel for further analysis by clicking on the "Send data to Excel" button.
This information has been provided to aid in understanding the process of analyzing the relationship between the number of fires and the number of acres burned using regression analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34b78d89-40e1-4eae-96f6-5bad21c86ac1%2Fb257c877-1bd4-4246-bda9-54e4fa08171b%2F9jlxsee_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Forest Fires and Acres Burned Numbers
In the following table, which contains data for 7 recent years, the number of forest fires (in thousands) and the number of acres burned (in hundred thousands) are shown:
| Number of fires \( x \) | 72 | 69 | 58 | 47 | 84 | 62 | 57 |
| ----------------------- | -- | -- | -- | -- | -- | -- | -- |
| Number of acres burned \( y \) | 73 | 70 | 59 | 48 | 85 | 63 | 58 |
### Data Analysis and Regression
**Correlation and Regression Analysis:**
- The correlation coefficient for the provided data is \( r = 1 \) and \( \alpha = 0.05 \).
- Should regression analysis be done?
1. **The regression analysis should not be done.** (Option selected)
2. **The regression analysis should be done.**
**Finding the Regression Line Equation:**
The general form of the regression line is:
\[ y' = a + bx \]
To find this equation, you need to determine the values of:
- \( a \)
- \( b \)
### Example Calculation:
**Find \( y' \) when \( x = 40 \)**:
\[ \text{To be calculated based on the values of } a \text{ and } b \]
**Submit Assignment** button is provided to save the answers and proceed.
##### Note:
The dataset can be exported to Excel for further analysis by clicking on the "Send data to Excel" button.
This information has been provided to aid in understanding the process of analyzing the relationship between the number of fires and the number of acres burned using regression analysis.
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