b. Find the linear correlation coefficient, r, then determine whether there sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= 0.816. (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. O A. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables. O B. There sufficient evidence to support the claim of a nonlinear correlation between the two variables. OC. There is insufficient evidence to support the claim of a linear correlation between the two variables. VD. There sufficient evidence support the claim of a linear correlation between the two variables. c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below. O A. The scatterplot does not reveal a perfect straight-line pattern. O B. The scatterplot reveals a perfect straight-line pattern and does not contain any outliers. OC. The scatterplot does not reveal a perfect straight-line pattern, and contains one outlier. O D. The scatterplot reveals a perfect straight-line pattern, except for the presence of one outlier.
b. Find the linear correlation coefficient, r, then determine whether there sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= 0.816. (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. O A. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables. O B. There sufficient evidence to support the claim of a nonlinear correlation between the two variables. OC. There is insufficient evidence to support the claim of a linear correlation between the two variables. VD. There sufficient evidence support the claim of a linear correlation between the two variables. c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below. O A. The scatterplot does not reveal a perfect straight-line pattern. O B. The scatterplot reveals a perfect straight-line pattern and does not contain any outliers. OC. The scatterplot does not reveal a perfect straight-line pattern, and contains one outlier. O D. The scatterplot reveals a perfect straight-line pattern, except for the presence of one outlier.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
Transcribed Image Text:**Correlation Analysis and Interpretation**
Use the given data set to complete parts (a) through (c) below. (Use α = 0.05.)
| | 7 | 9 | 11 | 14 | 6 | 4 | 12 | 7 | 5 |
| :--: | :--: | :--: | :--: | :--: | :--: | :--: | :--: | :--: | :--: |
| **x** | 7.46 | 6.77 | 12.74 | 7.11 | 7.81 | 8.84 | 6.09 | 5.39 |
| **y** | 7.11 | 7.81 | 8.84 | 6.09 | 5.39 | 8.14 | 6.43 | 5.72 |
**a.** Click here to view a table of critical values for the correlation coefficient.
**b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.**
The linear correlation coefficient is \( r = 0.816 \).
(Round to three decimal places as needed.)
**Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.**
\( \mathbf{D} \). There is sufficient evidence to support the claim of a linear correlation between the two variables.
**c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below.**
\( \mathbf{C} \). The scatterplot does not reveal a perfect straight-line pattern and contains one outlier.
---
**Graphs and Diagrams Explanation:**
1. **Scatterplot Observations (a):**
- The scatterplot in part (a) shows points that are generally clustered around a straight line, suggesting a potential linear relationship between the two variables.
2. **Scatterplots and Distribution (a):**
- Left Graph: Data points are widely dispersed, suggesting no apparent pattern or correlation.
- Middle Graph: Data points form a tight linear pattern, indicating a strong correlation.
- Right Graph: Data points are clustered but still form an evident
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 13 images
Knowledge Booster
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
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman