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. Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient. (a) Display the data in a scatter plot. Choose the correct graph below. O A. O B. O C. D. 1140- 55 1140- Q Speed of sound (ft/s) Speed of sound (ft/s) Speed of sound (ft/s) Speed of sound (it/s) 940HH -5 55 940 1140 Q40 1140 -5 55 Altitude (1000's ft) Altitude (1000's ft) Altitude (1000's ft) Altitude (1000's ft) (b) Calculate the sample correlation coefficient r. r=0 (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. O A. Higher altitudes cause decreases in speeds of sound. O B. As altitude increases, speeds of sound tend to decrease. O C. Based on the correlation, there does not appear to be a linear relationship between altitude and speed of sound. O D. Based on the correlation, there does not appear to be any relationship between altitude and speed of sound. O E. As altitude increases, speeds of sound tend to increase. O F. Higher altitudes cause increases 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. 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.)\f_ X Critical Values for the Pearson Correlation Coefficient Critical Values for the Pearson Correlation Coefficient The correlation is significant when the absolute value of r is greater than the value in the table. a = 0.05 a = 0.01 0.950 0.990 0.676 0.959 0.311 0.917 0.754 0.875 0.707 0.634 0.666 0.796 0.632 0.765 0.602 0.735 0.576 0.703 0.553 0.664 0.532 0.661 0.514 0.641 0.497 0.623 0.482 0.606 0.468 0.590 0.456 0.675 0.444 0.561 0.433 0.549 0.423 0.537 0.413 0.526 0.404 0.515 0.396 0.505 0.336 0.496 0.361 0.467 0.374 0.479 0.367 0.471 0.361 0.463 0.334 0.430 0.312 0.403 0.294 0.360 0.279 0.361 0.266 0.345 0.254 0.330 0.244 0.317 0.235 0.306