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. O B. O c. O D. O 3000- 3000 2400- 2400- 1800- 1800- Vocabulary size Vocabulary size Vocabulary size Vocabulary size 1200- 1200- 600- 600- 1500 3000 1500 3000 2 6 8 Age (years Age (years Age (years) Age (years) (b) Calculate the sample correlation coefficient r. Next(b) Calculate the sample correlation coefficient r. r= (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. 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 O B. As age increases, the number of words in children's vocabulary tends to increase. O C. 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 D. Aging causes the number of words in children's vocabulary to increase. O E. As age increases, the number of words in children's vocabulary tends to decrease. O F. Aging causes the number of words in children's vocabulary to decrease(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 children's ages and the number of words in their vocabulary. Round to three decimal places as needed.)