accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary Complete parts

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accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary Complete parts (a) through (d) below ek het wilden Click here to view the table of critical values for the Peacion correlation coefficient Display the data in a scatter plot Choose the correct graph below Ов, Ос. OD @ 30001 2400 1800 3000 2400 1800 1200 000 LA 2 1500 3000 $500 3000 A A b) Calculate the sample correlation coefficient Round to three decimal places as needed) (c) Describe the type of correlationary and interpret the correlation in the context of the data There is Inear correlation Interpret the correlation Choose the correct answer below O A Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabulary O Aging causes the number of words in children's vocabulary to increase OC. As age increase the number of words in children's vocabulary tends to decrease OD. Aging causes the number of words in children's vocabulary to decrease OL Asage increase the number of words in children's vocabulary tends to increase

... - -X Data Table Age, x 0 30 1500 e (years) Now ON 2 3 4 5 6 3 5 Vocabulary size, y 4 250 530 1200 2200 2600 760 2300 260 1300 2400 2 the conte 6 Print Done onship betul crease. tends to decrease. ecrease. tends to increase.

Critical Values for the Pearson Correlation Coeffic n 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Q = 0.05 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.433 0.423 0.413 0.404 0.396 0.388 0.381 0.374 0.367 0.361 a = 0.01 0.990 0.959 0.917 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 0.623 0.606 0.590 0.575 0.561 0.549 0.537 0.526 0.515 0.505 0.496 0.487 0.479 0.471 0.463 24 25 26 27 28 29 30 Print Done

Titical Values for the Pearson Correlation Coefficient 18 19 20 21 22 23 24 25 26 27 28 29 30 35 40 0.468 0.456 0.444 0.433 0.423 0.413 0.404 0.396 0.388 0.381 0.374 0.367 0.361 0.334 0.312 0.294 0.279 0.266 0.254 0.244 0.235 0.227 0.220 0.213 0.207 0.202 0.197 Q = 0.05 0.590 0.575 0.561 0.549 0.537 0.526 0.515 0.505 0.496 0.487 0.479 0.471 0.463 0.430 0.403 0.380 0.361 0.345 0.330 0.317 0.306 0.296 0.286 0.278 0.270 0.263 0.256 a = 0.01 45 50 55 60 65 70 75 80 85 90 95 100 n

(c) Describe the type of correlation. It way, and interpret the correlation in the context of the dela There's linear correlation Interpret the correlation Choose the correct answer below O A Bated on the correlation there does not appear to be any relationship between Adressages and the number of words in thor vocabulary O Aging causes the number of words in children's vocabulary to increase OC. As agevorses, the number of words in children's vocabulary tends to decrease OD. Aging causes the number of words in children's vocabulary to decrease OL Asses, the number of words in children's vocabulary tends to create OK Based on the contation, there does not appear to be a inear relationship between hire's ages and the number of worden har vocabulary (a) Um the table of crtical values for Pearson correlation coefficient to make a conclusion about the condition coefficient. Le*001 The crtical value Therefore, there fent evidence at the 15 vel of significance to conclude that (Round to three decimal places as needed between Children's age and the number of words in their