evidence to support a claim of linear correlation between the two sighifncance level of d=U.01. 78.5 9.1 Internet Users 78.2 57.8 66.4 78.7 38.4 Award Winners 5.6 3.4 1.6 10.4 0.1 onstruct a scatterplot. Choose the correct graph below. O B. Oc. OD. 12- 12- 12- 12. 90 Internet Users Internet Users Internet Users Internet Users he linear correlation coefficient is r=| Round to three decimal places needed.)
evidence to support a claim of linear correlation between the two sighifncance level of d=U.01. 78.5 9.1 Internet Users 78.2 57.8 66.4 78.7 38.4 Award Winners 5.6 3.4 1.6 10.4 0.1 onstruct a scatterplot. Choose the correct graph below. O B. Oc. OD. 12- 12- 12- 12. 90 Internet Users Internet Users Internet Users Internet Users he linear correlation coefficient is r=| Round to three decimal places 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
Related questions
Question
![The text in the image reads:
"The P-value is [______]."
Below this is an instruction:
"(Round to three decimal places as needed.)"
This indicates a field for entering the P-value, with guidance to round the value to three decimal places. There are no graphs or diagrams included in this image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23157fb6-2442-47a5-a201-c815d86cbc5c%2F0146e631-0d1e-48b3-93c4-2959c869995a%2Fl0is7ig_processed.png&w=3840&q=75)
Transcribed Image Text:The text in the image reads:
"The P-value is [______]."
Below this is an instruction:
"(Round to three decimal places as needed.)"
This indicates a field for entering the P-value, with guidance to round the value to three decimal places. There are no graphs or diagrams included in this image.
![Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient \( r \), and find the P-value of \( r \). Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of \( \alpha = 0.01 \).
\[
\begin{array}{|c|c|}
\hline
\text{Internet Users} & \text{Award Winners} \\
\hline
78.2 & 5.6 \\
78.5 & 9.1 \\
57.8 & 3.4 \\
66.4 & 1.6 \\
78.7 & 10.4 \\
38.4 & 0.1 \\
\hline
\end{array}
\]
**Construct a scatterplot. Choose the correct graph below.**
**A.**
(Graph showing an upward trend with some dispersion)
**B.**
(Graph showing randomly scattered points, no clear trend)
**C.**
(Graph showing a perfect upward linear trend)
**D.**
(Graph with an inverse relationship trend)
**The linear correlation coefficient is \( r = \) \_\_\_\_.**
*(Round to three decimal places as needed.)*
### Explanation of Graphs:
- **Graph A:** Displays a moderate positive correlation with some dispersion of points away from a straight line.
- **Graph B:** Shows points that are widely scattered with no discernible pattern, suggesting no correlation.
- **Graph C:** Represents a perfect positive linear relationship where all points lie precisely on a straight line.
- **Graph D:** Indicates a negative correlation with points forming an inverse relationship.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23157fb6-2442-47a5-a201-c815d86cbc5c%2F0146e631-0d1e-48b3-93c4-2959c869995a%2Fd45lwlm_processed.png&w=3840&q=75)
Transcribed Image Text:Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient \( r \), and find the P-value of \( r \). Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of \( \alpha = 0.01 \).
\[
\begin{array}{|c|c|}
\hline
\text{Internet Users} & \text{Award Winners} \\
\hline
78.2 & 5.6 \\
78.5 & 9.1 \\
57.8 & 3.4 \\
66.4 & 1.6 \\
78.7 & 10.4 \\
38.4 & 0.1 \\
\hline
\end{array}
\]
**Construct a scatterplot. Choose the correct graph below.**
**A.**
(Graph showing an upward trend with some dispersion)
**B.**
(Graph showing randomly scattered points, no clear trend)
**C.**
(Graph showing a perfect upward linear trend)
**D.**
(Graph with an inverse relationship trend)
**The linear correlation coefficient is \( r = \) \_\_\_\_.**
*(Round to three decimal places as needed.)*
### Explanation of Graphs:
- **Graph A:** Displays a moderate positive correlation with some dispersion of points away from a straight line.
- **Graph B:** Shows points that are widely scattered with no discernible pattern, suggesting no correlation.
- **Graph C:** Represents a perfect positive linear relationship where all points lie precisely on a straight line.
- **Graph D:** Indicates a negative correlation with points forming an inverse relationship.
Expert Solution
Step 1
From the given date we find correlation coefficient and p Value.
Step by step
Solved in 2 steps with 1 images
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