The ages (in years) of 11 children and the numbers of words in their vocabulary

(a) Display the data in a scatter plot, 

(b) Calculate the sample correlation coefficient r, 

(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data, and 

(d) Use Table 11 in Appendix B to make a conclusion about the correlation coefficient. If convenient, use technology. Let a = 0.01.

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3 5 Age, r Vocabulary size, y 4 3 4 6. 2 5 2 3 220 540 1100 2100 2600 730 2200 260 1200 2500 6. Table 11-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 0.990 4 0.950 0.878 0.811 0.959 0.917 0.754 0.875 0.834 0.798 8. 0.707 0.666 9. 10 0.632 0.765 0.735 0.708 11 0.602 0.576 12 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 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 0.374 0.487 28 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 0.266 0.361 0.345 0.330 0.317 0.306 55 60 0.254 65 0.244 70 0.235 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