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 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.) 20 1036.9 (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. 1014.7 25 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. C. Higher altitudes cause increases in speeds of sound. Print Done O D. As altitude increases, speeds of sound tend to increase. O E. Higher altitudes cause decreases in speeds of sound. O 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 a = 0.01. V between altitude and speed of sound sufficient evidence at the 1% level of significance to conclude that The critical value is Therefore, there (Round to three decimal nlaces as needed)