### Regression Analysis of Ages of Best Actor and Best Actress Winners#### Problem Statement:Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best-predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 29 years. Is the result within 5 years of the actual Best Actor winner, whose age was 49 years?#### Data:Here are the ages of Best Actress and Best Actor winners in various years:| Best Actress | 27 | 29 | 28 | 61 | 34 | 32 | 43 | 29 | 60 | 21 | 43 | 55 ||--------------|----|----|----|----|----|----|----|----|----|----|----|----|| Best Actor | 42 | 38 | 38 | 46 | 48 | 47 | 58 | 49 | 37 | 57 | 43 | 34 |#### Steps to Solve:1. **Calculate the Regression Equation:** - The regression equation generally takes the form $y = mx + b$, where $y$ is the predicted value, $m$ is the slope, and $b$ is the y-intercept. - Use the given data to compute $m$ and $b$. 2. **Use the Regression Equation:** - Substitute $x = 29$ into the regression equation to find the predicted age of the Best Actor.3. **Verify the Prediction:** - Check if the predicted age is within 5 years of the actual age (49 years).#### Detailed Calculation & Graph/Diagram Explanation:- **Data Visualization:** - Plot the given data points for Best Actress (x-axis) and Best Actor (y-axis) on a scatter plot. - Draw the line of best fit (regression line) to visually represent the regression equation. - **Illustration:** - The scatter plot will show various points, each representing the ages of the Best Actress and Best Actor in a given year. - The line of best fit indicates the general trend or relationship between the ages.#### Example (Hypothetical Calculation):1. **Scatter Plot of Data Points:** - Each point represents a pair (Best Actress age,

In multiple linear regression, there will be more than one independent variable. In simple linear…

Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 29 years. Is the result within 5 years of the actual Best Actor winner, whose age was 49 years? Best Actress 27 29 28 61 34 32 43 29 60 21 43 55 O Best Actor 42 38 38 46 48 47 58 49 37 57 43 34

Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 29 years. Is the result within 5 years of the actual Best Actor winner, whose age was 49 years? Best Actress 27 29 28 61 34 32 43 29 60 21 43 55 O Best Actor 42 38 38 46 48 47 58 49 37 57 43 34

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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