Answer these questions The accompanying table shows eleven altitudes (in thousands of feet) and the speeds of sound (in feet per second) at these altitudes.**Table: Altitude vs. Speed of Sound**- Altitude (x): 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50- Speed of Sound (y): 1115.8, 1097.9, 1075.9, 1056.2, 1036.9, 1016.7, 996.5, 976.9, 965.9, 957.5, 967.9**Tasks:**(b) **Calculate the Sample Correlation Coefficient (r)**- Round to three decimal places as needed.(c) **Describe the Type of Correlation**- Interpret the correlation in the context of the data. Options:- A. As altitude increases, speeds of sound tend to decrease.- B. Based on the correlation, there does not appear to be a linear relationship between altitude and speed of sound.- C. Higher altitudes cause increases in speeds of sound.- D. As altitude increases, speeds of sound tend to increase.- E. Higher altitudes cause decreases in speeds of sound.- F. Based on the correlation, there does not appear to be any relationship between altitude and speed of sound.**Conclusion Options:**- There is a significant linear correlation.- There is no correlation.(d) **Use the Table of Critical Values for the Pearson Correlation Coefficient**- Make a conclusion about the correlation between altitude and speed of sound.- Enter critical value: _______- Conclusion: There is/is not sufficient evidence at the 1% level of significance to conclude that there is a relationship.**Graph/Diagram:** A small section with two buttons and text box options for correlation, along with an option to print or mark as done. These choices assist in making statistical conclusions about the data provided. The accompanying table shows eleven altitudes (in thousands of feet) and the speeds of sound (in feet per second) at these altitudes.**Table:**- **Altitude (x) | Speed of Sound (y)** - 0 | 1115.8 - 5 | 1097.9 - 10 | 1075.9 - 15 | 1056.2 - 20 | 1036.9 - 25 | 1014.7 - 30 | 996.5 - 35 | 979.0 - 40 | 967.9 - 45 | 967.9 - 50 | 967.9**Instructions:**(b) Calculate the sample correlation coefficient \( r \).- \( r = [ \, ] \) (Round to three decimal places as needed.)(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.- There is [\, \, \,] linear correlation.*Interpret the correlation. Choose the correct answer below:*- ☐ A. As altitude increases, speeds of sound tend to decrease.- ☐ B. Based on the correlation, there does not appear to be a linear relationship between altitude and speed of sound.- ☐ C. Higher altitudes cause increases in speeds of sound.- ☐ D. As altitude increases, speeds of sound tend to increase.- ☐ E. Higher altitudes cause decreases in speeds of sound.- ☐ F. Based on the correlation, there does not appear to be any relationship between altitude and speed of sound.(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let \( \alpha = 0.01 \).- The critical value is [ \, ]- Therefore, there [ \, \, \,] sufficient evidence at the 1% level of significance to conclude that [ \, \, \,] between altitude and speed of sound. (Round to three decimal places as needed.)

Answered: Image /qna-images/answer/31b7a57a-359a-4dd5-a826-91e3c668c9dd.jpg

The accompanying table shows eleven altitudes (in thousands of feet) and the speeds of sound (in feet per second) at these altitudes. Co Click here to view the data table, Click here to view the table of critical values for the Pearson correlation coefficient. Altitude, x Speed of sound, y a StatCrunch ...... 1115,8 (b) Calculate the sample correlation coefficient r. 1097.9 10 1075.9 15 1056.2 (Round to three decimal places as needed.) 1036.9 20 (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. 25 1014.7 30 996.5 There is linear correlation. 35 969.5 40 967.9 Interpret the correlation. Choose the correct answer below. 967.9 45 50 967.9 O A. As altitude increases, speeds of sound tend to decrease. O B. Based on the correlation, there does not appear to be a linear relationship between altitude and speed of sound. OC. Higher altitudes cause increases in speeds of sound. rint Done O D. As altitude increases, speeds of sound tend to increase. O E. Higher altitudes cause decreases in speeds of sound. there is a significant linear correlation OF. Based on the correlation, there does not appear to be any relationship between altitude and speed of sound. there is no correlation (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation c between altitude and speed of sound. V sufficient evidence at the 1% level of significance to conclude that The critical value is. Therefore, there (Round to three decimal nlaces as needed)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...