The data in the table represent the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender. Complete parts (a) through (c) below. Click the icon to view the data table. (a) Find the least-squares regression line for males treating the number of licensed drivers as the explanatory variable, x, and the number of fatal crashes, y, as the response variable. Repeat this procedure for females. Find the least-squares regression line for males. (Round the x coefficient to three decimal places as needed. Round the constant to the nearest integer as needed.)
The data in the table represent the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender. Complete parts (a) through (c) below. Click the icon to view the data table. (a) Find the least-squares regression line for males treating the number of licensed drivers as the explanatory variable, x, and the number of fatal crashes, y, as the response variable. Repeat this procedure for females. Find the least-squares regression line for males. (Round the x coefficient to three decimal places as needed. Round the constant to the nearest integer 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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![### Analysis of Licensed Drivers and Fatal Accidents by Age Group and Gender
#### Data Summary
The data represents the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender. The goal is to analyze this data and determine relationships via least-squares regression lines.
We will be:
1. Finding the least-squares regression line for males, treating the number of licensed drivers as the explanatory variable (x) and the number of fatal crashes as the response variable (y).
2. Repeating this procedure for females.
#### Part (a): Least-Squares Regression Line for Males
**Objective:** To find the least-squares regression line for males.
**Steps to Complete:**
1. Use the provided data table (available by clicking the icon) to find the necessary statistical values.
2. Compute the regression line using the formula \( \hat{y} = mx + b \):
- \( m \) is the slope of the line.
- \( b \) is the y-intercept.
3. Round the x coefficient to three decimal places.
4. Round the constant (y-intercept) to the nearest integer.
***Formula for the Least-Squares Regression Line for Males:***
\[ \hat{y} = [X]\text{(rounded to three decimal places)} + [Y]\text{(rounded to the nearest integer)} \]
This process will help in understanding the relationship between the number of licensed drivers and the number of fatal crashes for males in different age groups.
#### Next Steps:
After determining the regression line for males, repeat the same process for females to compare the relationships between genders.
---
Note: Ensure to click on the data table icon to view the data necessary for calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07fb787c-e500-4d5f-8baa-0c79bb61382c%2F7f739271-c0ca-44fb-b71c-4e7a14d36942%2Ffszcuu_processed.png&w=3840&q=75)
Transcribed Image Text:### Analysis of Licensed Drivers and Fatal Accidents by Age Group and Gender
#### Data Summary
The data represents the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender. The goal is to analyze this data and determine relationships via least-squares regression lines.
We will be:
1. Finding the least-squares regression line for males, treating the number of licensed drivers as the explanatory variable (x) and the number of fatal crashes as the response variable (y).
2. Repeating this procedure for females.
#### Part (a): Least-Squares Regression Line for Males
**Objective:** To find the least-squares regression line for males.
**Steps to Complete:**
1. Use the provided data table (available by clicking the icon) to find the necessary statistical values.
2. Compute the regression line using the formula \( \hat{y} = mx + b \):
- \( m \) is the slope of the line.
- \( b \) is the y-intercept.
3. Round the x coefficient to three decimal places.
4. Round the constant (y-intercept) to the nearest integer.
***Formula for the Least-Squares Regression Line for Males:***
\[ \hat{y} = [X]\text{(rounded to three decimal places)} + [Y]\text{(rounded to the nearest integer)} \]
This process will help in understanding the relationship between the number of licensed drivers and the number of fatal crashes for males in different age groups.
#### Next Steps:
After determining the regression line for males, repeat the same process for females to compare the relationships between genders.
---
Note: Ensure to click on the data table icon to view the data necessary for calculations.
Transcribed Image Text:**Data for Licensed Drivers by Age and Gender**
The following table provides detailed statistics on the number of licensed drivers and the number of fatal crashes, categorized by age and gender.
| Age | Number of Male Licensed Drivers (000s) | Number of Fatal Crashes (Male) | Number of Female Licensed Drivers (000s) | Number of Fatal Crashes (Female) |
|---------|----------------------------------------|-------------------------------|------------------------------------------|-----------------------------------|
| < 16 | 12 | 227 | 12 | 77 |
| 16-20 | 6,424 | 5,180 | 6,139 | 2,113 |
| 21-24 | 6,935 | 5,016 | 6,816 | 1,543 |
| 25-34 | 14,203 | 8,538 | 14,664 | 2,780 |
| 35-44 | 20,406 | 7,990 | 20,082 | 2,742 |
| 45-54 | 19,898 | 7,112 | 19,984 | 2,285 |
| 55-64 | 14,328 | 4,527 | 14,441 | 1,514 |
| 65-74 | 8,194 | 2,274 | 8,377 | 938 |
| > 74 | 4,803 | 2,022 | 5,375 | 964 |
### Explanation:
- **Column 1 (Age):** Lists age groups.
- **Column 2 (Number of Male Licensed Drivers in 000s):** Reflects the number of male licensed drivers in thousands.
- **Column 3 (Number of Fatal Crashes (Male)):** Indicates the number of fatal crashes involving male drivers.
- **Column 4 (Number of Female Licensed Drivers in 000s):** Indicates the number of female licensed drivers in thousands.
- **Column 5 (Number of Fatal Crashes (Female)):** Displays the number of fatal crashes involving female drivers.
### Graphs or Diagrams:
No graphs or diagrams are included in this image. The table provides a comparative
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