The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. 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. Should we expect that there would be a correlation? Use a significance level of a = 0.01. Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. OA. OB. Best Actor (years) 70 20- 20 70 Best Actress (years) Best Actor (years) The linear correlation coefficient is r= 0. (Round to three decimal places as needed.). xample Get more help. 70- HHHHH |||||||| 20+ 20 Best Actr 1111cc H ||||||||| Qu 70 COO Q *** Best Actor (years) C. 20+ 20 ||||||| HHH 70 Q Best Actresses and Best Actors 43 Best Actress 29 30 29 59 32 32 Best Actor 45 37 40 43 49 50 59 O D. Best Actor (years) 70 204 20 M 29 42 53 64 23 48 37 55 55 43 33 litt 70 G - X Save er
The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. 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. Should we expect that there would be a correlation? Use a significance level of a = 0.01. Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. OA. OB. Best Actor (years) 70 20- 20 70 Best Actress (years) Best Actor (years) The linear correlation coefficient is r= 0. (Round to three decimal places as needed.). xample Get more help. 70- HHHHH |||||||| 20+ 20 Best Actr 1111cc H ||||||||| Qu 70 COO Q *** Best Actor (years) C. 20+ 20 ||||||| HHH 70 Q Best Actresses and Best Actors 43 Best Actress 29 30 29 59 32 32 Best Actor 45 37 40 43 49 50 59 O D. Best Actor (years) 70 204 20 M 29 42 53 64 23 48 37 55 55 43 33 litt 70 G - X Save er
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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Question
Transcribed Image Text:The image presents a statistics problem involving the ages of acting award winners. The task is to construct a scatterplot based on the data for Best Actresses and Best Actors, calculate the linear correlation coefficient \( r \), and determine the P-value. The goal is to assess if there is a significant linear correlation between the ages at which awards are won, using a significance level of \( \alpha = 0.01 \).
### Data Table
- **Best Actress Ages:** 29, 30, 29, 59, 32, 32, 43, 42, 50, 27, 43, 42, 62, 53, 33
- **Best Actor Ages:** 45, 37, 40, 43, 49, 36, 32, 60, 48, 33, 55, 37, 45, 53, 33
### Task Details
- **Construct a Scatterplot:** The option that represents the correct relationship between Best Actress and Best Actor ages is selected as "C".
- **Calculate Linear Correlation Coefficient \( r \):** This involves calculating \( r \) and rounding to three decimal places.
- **Determine P-value:** Assess if the calculated \( r \) suggests a significant correlation at \( \alpha = 0.01 \).
Each graph option (A, B, C, D) features a scatterplot where the x-axis represents the age of the Best Actress and the y-axis represents the age of the Best Actor. The correct scatterplot (marked as C) visualizes the dataset with plotted points, aiding in the visual assessment of correlation.
![The linear correlation coefficient is \( r = \text{[redacted]} \)
(Round to three decimal places as needed.)
Determine the null and alternative hypotheses.
\[ H_0: \rho = 0 \]
\[ H_1: \rho \neq 0 \]
(Type integers or decimals. Do not round.)
The test statistic is \( t = \text{[redacted]} \)
(Round to two decimal places as needed.)
The P-value is \text{[redacted]}
*Note: Values have been redacted for privacy.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3b13e72-bc39-40fa-b794-559d1be8a70e%2Fc4848479-b14d-44c0-b9bd-b3b34a60b598%2F9f66duf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The linear correlation coefficient is \( r = \text{[redacted]} \)
(Round to three decimal places as needed.)
Determine the null and alternative hypotheses.
\[ H_0: \rho = 0 \]
\[ H_1: \rho \neq 0 \]
(Type integers or decimals. Do not round.)
The test statistic is \( t = \text{[redacted]} \)
(Round to two decimal places as needed.)
The P-value is \text{[redacted]}
*Note: Values have been redacted for privacy.*
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