Answer Happy

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. A. B. C. 55- 1140 55 -5 Altitude (1000's ft) 55- -5- 940 Altitude (1000's ft) (b) Calculate the sample correlation coefficient r. r= (Round to three decimal places as needed.) 1140- 940+ 1140- 940+ -5 Altitude (1000's ft) 55 940 1140 Altitude (1000's ft)
Data Table Altitude, x 0 5 10 15 20 25 30 35 40 45 50 Speed of sound, y 1115.2 1095.1 1075.4 1056.2 1036.6 1015.1 996.8 968.1 966.8 966.8 966.8
Critical Values for the Pearson Correlation Coefficient Critical Values for the Pearson Correlation Coefficient The correlation is significant when the absolute value of is greater than the value in the table. α = 0.05 α = 0.01 0.950 0.990 0.878 0.959 0.811 0.917 0.754 0.875 0.707 0.834 0.666 0.798 0.632 0.765 0.602 0.735 0.576 0.708 0.553 0.684 0.532 0.661 0.514 0.641 0.497 0.623 0.482 0.606 0468 0.590 F456 n 7 8 9 10 11 12 13 14 15 16 17 18
Critical Values for the Pearson Correlation Coefficient 17 0.482 0.606 18 0.468 0.590 19 0.456 0.575 20 0.444 0.561 21 0.433 0.549 22 0.423 0.537 23 0.413 0.526 24 0.404 0.515 25 0.396 0.505 26 0.388 0.496 27 0.381 0.487 28 0.374 0.479 29 0.367 0.471 30 0.361 0.463 35 0.334 0.430 40 0.312 0.403 45 0.294 0.380 50 0.279 0.361 55 0.266 0.345 60 0.254 0.330 65 0.244 0.317 0.235 0.306 0.227 0.296 70 75
Critical Values for the Pearson Correlation Coefficient 23 0.413 0.526 24 0.404 0.515 25 0.396 0.505 26 0.388 0.496 27 0.381 0.487 28 0.374 0.479 29 0.367 0.471 30 0.361 0.463 35 0.334 0.430 40 0.312 0.403 45 0.294 0.380 50 0.279 0.361 55 0.266 0.345 60 0.254 0.330 65 0.244 0.317 70 0.235 0.306 75 0.227 0.296 80 0.220 0.286 85 0.213 0.278 90 0.207 0.270 95 0.202 0.263 100 0.197 0.256 n α = 0.05 α = 0.01