Answer these question **Educational Website Transcription:****Correlation and Speed of Sound at Various Altitudes**The accompanying table shows eleven altitudes (in thousands of feet) and the speeds of sound (in feet per second) at these altitudes:| **Altitude, x** | **Speed of sound, y** ||-----------------|-----------------------|| 0 | 1116.4 || 5 | 1097.7 || 10 | 1077.9 || 15 | 1057.1 || 20 | 1037.8 || 25 | 1015.9 || 30 | 996.9 || 35 | 980.5 || 40 | 967.6 || 45 | 967.6 || 50 | 967.6 |**Statistical Analysis:**- **Pearson Correlation Coefficient (r):** \( r = -0.974 \) (Rounded to three decimal places)**(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data:**There is a **strong negative linear correlation**.**Interpret the correlation:**- **Option F is Correct:** Higher altitudes cause decreases in speeds 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 [Blank].- Therefore, there [is/is not] sufficient evidence at the 1% level of significance to conclude that [Blank] between altitude and speed of sound.**Note:** Please ensure proper completion of blanks and interpretation of critical values based on provided data.**Additional Resources:**- Help me solve this- View an example- Get more help*(Screenshot of options and interactive tools as displayed on the page.)* The accompanying table shows eleven altitudes (in thousands of feet) and the speeds of sound (in feet per second) at these altitudes. Complete parts (a) through (d) below.The correlation coefficient \( r = -0.974 \) (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 a strong negative linear correlation.Interpret the correlation. Choose the correct answer below.- O A. As altitude increases, speeds of sound tend to increase.- O B. Higher altitudes cause increases in speeds of sound.- ● C. As altitude increases, speeds of sound tend to decrease.- O D. Based on the correlation, there does not appear to be a linear relationship between altitude and speed of sound.- O E. Based on the correlation, there does not appear to be any relationship between altitude and speed of sound.- O F. Higher altitudes cause decreases in speeds of sound.(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation.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.)

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The accompanying table shows eleven altitudes (in thousands of feet) and the speeds of sound (in feet per second) at these altitudes. Complete 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 O 1116.4 1097.7 10 1077.9 i= -0.974 (Round to three decimal places as needed.) 15 1057.1 20 1037.8 (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. 1015.9 25 30 996.9 There is a strong negative linear correlation. 970.1 35 40 967.6 Interpret the correlation. Choose the correct answer below. 45 967.6 50 967.6 O A. As altitude increases, speeds of sound tend to increase. O B. Higher altitudes cause increases in speeds of sound. C. As altitude increases, speeds of sound tend to decrease. Print Done O D. Based on the correlation, there does not appear to be a linear relationship between altitude and speed of sound. O E. Based on the correlation, there does not appear to be any relationship between altitude and speed of sound. OF. Higher altitudes cause decreases in speeds of sound. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient, Let a = 0.01. between altitude and speed of sound. Therefore, there sufficient evidence at the 1% level of significance to conclude that The critical value is nimnl places 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...