Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (1,9) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. a. Do the data points appear to have a strong linear correlation? No Yes b. What is the value of the correlation coefficient for all 10 data points? (Simplify your answer. Round to three decimal places as needed.) r= Table of Critical Values n 4 5 6 7 a = .05 .950 .878 .811 .754 10- a = .01 .990 .959 .917 .875 10 X
Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (1,9) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. a. Do the data points appear to have a strong linear correlation? No Yes b. What is the value of the correlation coefficient for all 10 data points? (Simplify your answer. Round to three decimal places as needed.) r= Table of Critical Values n 4 5 6 7 a = .05 .950 .878 .811 .754 10- a = .01 .990 .959 .917 .875 10 X
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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![Refer to the accompanying scatterplot.
a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y.
b. Find the value of the correlation coefficient \( r \) and determine whether there is a linear correlation.
c. Remove the point with coordinates (1,9) and find the correlation coefficient \( r \) and determine whether there is a linear correlation.
d. What do you conclude about the possible effect from a single pair of values?
[Link] Click here to view a table of critical values for the correlation coefficient.
---
**a. Do the data points appear to have a strong linear correlation?**
- [ ] No
- [x] Yes
**b. What is the value of the correlation coefficient for all 10 data points?**
\( r = \) [ ] (Simplify your answer. Round to three decimal places as needed.)
---
**Table of Critical Values**
| \( n \) | \( \alpha = .05 \) | \( \alpha = .01 \) |
|---------|--------------------|--------------------|
| 4 | 0.950 | 0.990 |
| 5 | 0.878 | 0.959 |
| 6 | 0.811 | 0.917 |
| 7 | 0.754 | 0.875 |
| 8 | 0.707 | 0.834 |
| 9 | 0.666 | 0.796 |
| 10 | 0.632 | 0.765 |
---
**Graph Explanation**
In the upper right-hand corner, there is a small scatterplot. The scatterplot displays a pattern of data points that illustrates the relationship between two variables, x and y. The graph is a visual aid to help determine the existence and strength of a linear correlation between these variables, though specific points are not detailed in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3b13e72-bc39-40fa-b794-559d1be8a70e%2F76c16c3c-7e79-4912-b4e5-be8b4dd9bb3b%2Fluq221f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Refer to the accompanying scatterplot.
a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y.
b. Find the value of the correlation coefficient \( r \) and determine whether there is a linear correlation.
c. Remove the point with coordinates (1,9) and find the correlation coefficient \( r \) and determine whether there is a linear correlation.
d. What do you conclude about the possible effect from a single pair of values?
[Link] Click here to view a table of critical values for the correlation coefficient.
---
**a. Do the data points appear to have a strong linear correlation?**
- [ ] No
- [x] Yes
**b. What is the value of the correlation coefficient for all 10 data points?**
\( r = \) [ ] (Simplify your answer. Round to three decimal places as needed.)
---
**Table of Critical Values**
| \( n \) | \( \alpha = .05 \) | \( \alpha = .01 \) |
|---------|--------------------|--------------------|
| 4 | 0.950 | 0.990 |
| 5 | 0.878 | 0.959 |
| 6 | 0.811 | 0.917 |
| 7 | 0.754 | 0.875 |
| 8 | 0.707 | 0.834 |
| 9 | 0.666 | 0.796 |
| 10 | 0.632 | 0.765 |
---
**Graph Explanation**
In the upper right-hand corner, there is a small scatterplot. The scatterplot displays a pattern of data points that illustrates the relationship between two variables, x and y. The graph is a visual aid to help determine the existence and strength of a linear correlation between these variables, though specific points are not detailed in the image.
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