The data below shows the annual salaries (in millions) and the number of viewers (in millions) of eight television actors and actresses. Answer parts a-c. + Click here to view a table of critical values for the correlation coefficient. Salary (x) Viewers (y) 92 16 11 4.4 12 5.8 33 1.2 The critical value is. (Round to three decimal places as needed.) c. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? 13 10.2 O A. Yes, because the absolute value of the correlation coefficient is less than the critical value. O B. No, because the absolute value of the correlation coefficient is greater than the critical value. O C. No, because the absolute value of the correlation coefficient is less than the critical value. OD. Yes, because the absolute value of the correlation coefficient is greater than the critical value. C a. Find the value of the linear correlation coefficient r. r= (Round to three decimal places as needed.) b. Find the critical value of r from the table showing the critical values for the Pearson correlation coefficient using a = 0.05. 5 9.8 10 13.5 3 4.1 D Table of Critical Values 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 a = .05 .950 .878 .811 .754 .707 .666 .632 .602 .576 .553 .532 .514 .497 482 468 456 444 396 .361 .335 .312 294 279 254 236 220 207 .196 a = .01 .990 .959 .917 .875 .834 .798 .765 .735 .708 .684 .661 .641 .623 .606 .590 .575 .561 .505 .463 .430 402 .378 .361 .330 .305 286 269 256 NOTE: To test Ho: p= 0 against H; p = 0, reject Ho if the absolute value of ris greater than the critical value in the table. X
The data below shows the annual salaries (in millions) and the number of viewers (in millions) of eight television actors and actresses. Answer parts a-c. + Click here to view a table of critical values for the correlation coefficient. Salary (x) Viewers (y) 92 16 11 4.4 12 5.8 33 1.2 The critical value is. (Round to three decimal places as needed.) c. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? 13 10.2 O A. Yes, because the absolute value of the correlation coefficient is less than the critical value. O B. No, because the absolute value of the correlation coefficient is greater than the critical value. O C. No, because the absolute value of the correlation coefficient is less than the critical value. OD. Yes, because the absolute value of the correlation coefficient is greater than the critical value. C a. Find the value of the linear correlation coefficient r. r= (Round to three decimal places as needed.) b. Find the critical value of r from the table showing the critical values for the Pearson correlation coefficient using a = 0.05. 5 9.8 10 13.5 3 4.1 D Table of Critical Values 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 a = .05 .950 .878 .811 .754 .707 .666 .632 .602 .576 .553 .532 .514 .497 482 468 456 444 396 .361 .335 .312 294 279 254 236 220 207 .196 a = .01 .990 .959 .917 .875 .834 .798 .765 .735 .708 .684 .661 .641 .623 .606 .590 .575 .561 .505 .463 .430 402 .378 .361 .330 .305 286 269 256 NOTE: To test Ho: p= 0 against H; p = 0, reject Ho if the absolute value of ris greater than the critical value in the table. 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
Related questions
Question
### a. Find the value of the linear correlation coefficient r.
\[ r = \boxed{} \] (Round to three decimal places as needed.)
### b. Find the critical value of r from the table showing the critical values for the Pearson correlation coefficient using \(\alpha = 0.05\).
The critical value is \[ \boxed{} \] (Round to three decimal places as needed.)
### c. Is there sufficient evidence to conclude that there is a linear correlation between the two variables?
- [ ] A. Yes, because the absolute value of the correlation coefficient is less than the critical value.
- [ ] B. No, because the absolute value of the correlation coefficient is greater than the critical value.
- [ ] C. No, because the absolute value of the correlation coefficient is less than the critical value.
- [ ] D. Yes, because the absolute value of the correlation coefficient is greater than the critical value.
### Table of Critical Values
The table of critical values provided below will help you determine the critical value for the Pearson correlation coefficient based on the sample size (n) and the significance level (\(\alpha\)).
| \( n \) | \(\alpha = .05\) | \(\alpha = .01\) |
|:-----:|:------------:|:------------:|
| 4 | .950 | .990 |
| 5 | .878 | .959 |
| 6 | .811 | .917 |
| 7 |](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F552c0758-5203-44a0-803c-786f9a348f99%2Ff05be4c5-626f-4eb1-87ef-9864a37edb3f%2Ffsjmv48_processed.png&w=3840&q=75)
Transcribed Image Text:The data below shows the annual salaries (in millions) and the number of viewers (in millions) of eight television actors and actresses. Answer parts a-c.
| Salary (x) | 92 | 11 | 12 | 33 | 13 | 10 | 5 | 3 |
|-------------|------|------|------|------|------|------|------|----|
| Viewers (y) | 16 | 4.4 | 5.8 | 1.2 | 10.2| 9.8 | 13.5| 4.1|
[Click here to view a table of critical values for the correlation coefficient.](#)
### a. Find the value of the linear correlation coefficient r.
\[ r = \boxed{} \] (Round to three decimal places as needed.)
### b. Find the critical value of r from the table showing the critical values for the Pearson correlation coefficient using \(\alpha = 0.05\).
The critical value is \[ \boxed{} \] (Round to three decimal places as needed.)
### c. Is there sufficient evidence to conclude that there is a linear correlation between the two variables?
- [ ] A. Yes, because the absolute value of the correlation coefficient is less than the critical value.
- [ ] B. No, because the absolute value of the correlation coefficient is greater than the critical value.
- [ ] C. No, because the absolute value of the correlation coefficient is less than the critical value.
- [ ] D. Yes, because the absolute value of the correlation coefficient is greater than the critical value.
### Table of Critical Values
The table of critical values provided below will help you determine the critical value for the Pearson correlation coefficient based on the sample size (n) and the significance level (\(\alpha\)).
| \( n \) | \(\alpha = .05\) | \(\alpha = .01\) |
|:-----:|:------------:|:------------:|
| 4 | .950 | .990 |
| 5 | .878 | .959 |
| 6 | .811 | .917 |
| 7 |
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
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