nd 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 hich there are 425 metric tons of lemon imports. Is the prediction worthwhile? emon Imports 225 270 356 500 513 rash Fatality Rate 16 15.8 15.5 15.4 15.1 nd the equation of the regression line. 3D tound the y-intercept to three decimal places as needed. Round the slope to four decimal places as needed.)

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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The text explains the following:

"The best predicted crash fatality rate for a year in which there are 475 metric tons of lemon imports is [blank] fatalities per 100,000 population. (Round to one decimal place as needed.)"

This statement serves as a prompt or instruction, likely for a mathematical or statistical exercise, asking for a calculation or prediction based on given data of lemon import metrics. There are no graphs or diagrams in the image.
Transcribed Image Text:The text explains the following: "The best predicted crash fatality rate for a year in which there are 475 metric tons of lemon imports is [blank] fatalities per 100,000 population. (Round to one decimal place as needed.)" This statement serves as a prompt or instruction, likely for a mathematical or statistical exercise, asking for a calculation or prediction based on given data of lemon import metrics. There are no graphs or diagrams in the image.
**Educational Analysis of Regression and Correlation**

**Problem Statement:**
Using the provided lemon crash data, determine the linear regression equation where lemon imports (in metric tons) are the predictor variable (x), and crash fatality rates (per 100,000 people) are the response variable (y). Calculate the best-predicted crash fatality rate for a year with 425 metric tons of lemon imports and assess if the prediction is meaningful. 

**Data:**

- **Lemon Imports (metric tons):** 225, 270, 356, 500, 513
- **Crash Fatality Rate (per 100,000 people):** 16, 15.8, 15.5, 15.4, 15.1

**Regression Line:**

To find the equation of the regression line:

\[
\hat{y} = \text{{y-intercept}} + (\text{{slope}}) \cdot x
\]

- The y-intercept and the slope need to be calculated using the data points provided. Round the y-intercept to three decimal places and the slope to four decimal places as necessary.

This equation will allow prediction of the crash fatality rate based on the amount of lemon imports.

**Analysis Question:**

Is the prediction worthwhile in assessing lemon imports as a meaningful predictor of crash fatalities? Consider statistical significance, practical implications, and correlation strength in your discussion.
Transcribed Image Text:**Educational Analysis of Regression and Correlation** **Problem Statement:** Using the provided lemon crash data, determine the linear regression equation where lemon imports (in metric tons) are the predictor variable (x), and crash fatality rates (per 100,000 people) are the response variable (y). Calculate the best-predicted crash fatality rate for a year with 425 metric tons of lemon imports and assess if the prediction is meaningful. **Data:** - **Lemon Imports (metric tons):** 225, 270, 356, 500, 513 - **Crash Fatality Rate (per 100,000 people):** 16, 15.8, 15.5, 15.4, 15.1 **Regression Line:** To find the equation of the regression line: \[ \hat{y} = \text{{y-intercept}} + (\text{{slope}}) \cdot x \] - The y-intercept and the slope need to be calculated using the data points provided. Round the y-intercept to three decimal places and the slope to four decimal places as necessary. This equation will allow prediction of the crash fatality rate based on the amount of lemon imports. **Analysis Question:** Is the prediction worthwhile in assessing lemon imports as a meaningful predictor of crash fatalities? Consider statistical significance, practical implications, and correlation strength in your discussion.
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