What is the critical value?the first box: is, is notthe second box: there is no correlation, there is a significant correlation

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. 1800- Vocabulary 1200 Vocabulary Vocabulary Data Table 2- 1500 3000 1500 3000 2 4 6 8 Age (years) Age (years) Age (years) Age, x Vocabulary size, y 1 9 (b) Calculate the sample correlation coefficient r. 260 r= 0.982 610 (Round to three decimal places as needed.) 1100 2100 (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. 2600 There is |a strong positive |linear correlation, 730 2200 Interpret the correlation. Choose the correct answer below. 250 1300 O A. As age increases, the number of words in children's vocabulary tends to increase, 2500 O B. As age increases, the number of words in children's vocabulary tends to decrease. O C. 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 D. 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 E. Aging causes the number of words in children's vocabulary to decrease. Print Done O F. Aging causes the number of words in children's vocabulary to increase. (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.) Time Remaining: 01:41:21 Next