The data below shows the weight and length of 10 rats. Find the correlation coefficient for this relationship AND the equation for the regression line. Use weight as x (independent variable) and length as y (dependent variable). HINT – Use Statcrunch! Weight (ounces) Length (inches) 1.5 2.2 2.3 3.9 2.4 4.2 2.7 5.1 3.4 5.1 3.8 5.6 4.1 6.5 4.3 6.2 6.8 5.6 7.4 Correlation coefficient: Regression line:

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Concept explainers
Topic Video
Question

help

### Rat Weight and Length Data Analysis

The data below shows the weight and length of 10 rats. You are required to find the correlation coefficient for this relationship and determine the equation for the regression line. Use weight as the independent variable (x) and length as the dependent variable (y).

**HINT:** Utilize Statcrunch for calculations.

#### Data Table

| Weight (ounces) | Length (inches) |
|------------------|------------------|
| 1.5              | 2.2              |
| 2.3              | 3.9              |
| 2.4              | 4.2              |
| 2.7              | 5.1              |
| 3.4              | 5.1              |
| 3.8              | 5.6              |
| 4.1              | 6.5              |
| 4.3              | 6.2              |
| 5                | 6.8              |
| 5.6              | 7.4              |

#### Required Calculations

**Correlation coefficient:**  
_________________

**Regression line equation:**  
_________________

**Explanation for Students:**
1. **Correlation Coefficient:** This value explains the strength and direction of the linear relationship between rat weight and length. A value close to +1 indicates a strong positive relationship, while a value close to -1 indicates a strong negative relationship. A value around 0 suggests no linear correlation.

2. **Regression Line Equation:** This line provides a mathematical relationship between weight and length. It can be used to predict the length of a rat based on its weight. It typically has the form \( y = mx + c \), where \( m \) is the slope and \( c \) is the y-intercept.

By analyzing the given data through statistical tools like Statcrunch, these values can be derived accurately.
Transcribed Image Text:### Rat Weight and Length Data Analysis The data below shows the weight and length of 10 rats. You are required to find the correlation coefficient for this relationship and determine the equation for the regression line. Use weight as the independent variable (x) and length as the dependent variable (y). **HINT:** Utilize Statcrunch for calculations. #### Data Table | Weight (ounces) | Length (inches) | |------------------|------------------| | 1.5 | 2.2 | | 2.3 | 3.9 | | 2.4 | 4.2 | | 2.7 | 5.1 | | 3.4 | 5.1 | | 3.8 | 5.6 | | 4.1 | 6.5 | | 4.3 | 6.2 | | 5 | 6.8 | | 5.6 | 7.4 | #### Required Calculations **Correlation coefficient:** _________________ **Regression line equation:** _________________ **Explanation for Students:** 1. **Correlation Coefficient:** This value explains the strength and direction of the linear relationship between rat weight and length. A value close to +1 indicates a strong positive relationship, while a value close to -1 indicates a strong negative relationship. A value around 0 suggests no linear correlation. 2. **Regression Line Equation:** This line provides a mathematical relationship between weight and length. It can be used to predict the length of a rat based on its weight. It typically has the form \( y = mx + c \), where \( m \) is the slope and \( c \) is the y-intercept. By analyzing the given data through statistical tools like Statcrunch, these values can be derived accurately.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman