### Regression Analysis of Caloric and Sodium Content in Beef Hot Dogs#### Task:1. Find the equation of the regression line for the given data.2. Construct a scatter plot of the data and draw the regression line (Each pair of variables has a significant correlation).3. Use the regression equation to predict the value of `y` for each of the given `x`-values if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below: | Calories, x | Sodium, y ||-------------|-----------|| 150 | 430 || 180 | 480 || 120 | 350 || 130 | 370 || 90 | 290 || 190 | 530 |#### Predict Sodium Content for Given Caloric Values1. $ x = 170 $ calories2. $ x = 100 $ calories3. $ x = 140 $ calories4. $ x = 210 $ calories#### Finding the Regression Equation\[ \hat{y} = \boxed{\phantom{000}} x + \boxed{\phantom{000}} \](Round to three decimal places as needed.)### Analysis Procedure:1. **Data Collection and Visualization:** - Collect data of calories and sodium content. - Plot the collected data on a scatter plot with calories on the x-axis and sodium on the y-axis.2. **Equation of the Regression Line:** - Apply the least-squares method to determine the best-fitting line. - Use statistical software or manual calculations to derive the regression equation.3. **Prediction:** - Utilize the regression equation to predict the sodium content for the given caloric values.In this educational exercise, understanding how to derive the regression line and using it for predictions highlights the importance of statistical methods in practical applications.

The following information has been provided: Calories (x) Sodium (y) 150 430 180 480 120…

Answered: Find the equation of the regression…

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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