Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction worthwhile? 363 Lemon Imports Crash Fatality Rate 16 15.8 547 O 15 234 270 462 15.5 15.6 Find the equation of the regression line. -ロ+x (Round the constant three decimal places as needed. Round the coefficient to six decimal places as needed.) aa
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.
![**Regression Analysis for Lemon Imports and Crash Fatality Rates**
In this exercise, you are tasked with finding the regression equation, allowing for the first variable to serve as the predictor (x) variable. Using the provided lemon import and crash data, where lemon imports are measured in metric tons and the fatality rates are given per 100,000 people, calculate the best predicted crash fatality rate for a year where lemon imports total 425 metric tons. Consider whether this prediction is worthwhile.
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### Data Table
| Lemon Imports (metric tons) | Crash Fatality Rate (per 100,000) |
|-----------------------------|-----------------------------------|
| 234 | 16 |
| 270 | 15.8 |
| 363 | 15.6 |
| 462 | 15.5 |
| 547 | 15 |
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### Task
Find the equation of the regression line in the form:
\[ \hat{y} = b_0 + (b_1 \times x) \]
Round the constant to three decimal places and the coefficient to six decimal places as needed.
### Notes
- This exercise involves utilizing statistical methods to understand potential correlations between lemon imports and crash fatality rates.
- Ensure the accuracy of your calculations and consider the practical interpretation of the results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f6319fd-3db3-4131-945e-33c3df9bac4f%2F3335a646-ea76-4e7a-b9dc-a4bf0315ccd6%2Fi3m7nl_processed.jpeg&w=3840&q=75)
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