The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below. Click here to view the data table. Click here to...

Extracted text: The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. 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. OB. OC. OD. 3000- 3000- N 2400- 1800- 1200- 600- 0- 0 2 4 6 8 Age (years) 8- 8- 2400- 1800- 1200- 600- 0- 0 2 Age (years) :: 6- 4- %3B 1500 3000 4 6 1500 3000 Age (years) Age (years) (b) Calculate the sample correlation coefficient r. - X Data Table (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 V linear correlation. Age, x Vocabulary size, y 1 7 Interpret the correlation. Choose the correct answer below. 2 250 3 620 O A. Based on the correlation, there does not appear to be a linear relationship between children's ages and the number of words in their vocabulary 4 1100 O B. Aging causes the number of words in children's vocabulary to decrease. 5 2100 OC. As age increases, the number of words in children's vocabulary tends to increase. 6 2500 3 540 O D. Aging causes the number of words in children's vocabulary to increase. 5 2300 O E. Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabulary. 2 260 O F. As age increases, the number of words in children's vocabulary tends to decrease. 4 1200 2300 Print Done Vocabulary s /ocabulary s /ocabulary size