question 2

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. O C. OD. 3000- 3000 2400- y size 6 2400 1800 Vocabulary size 4 Vocabulary size 4 1200 1200 Vocabul Vocabula 2- 2 600- o- 1500 3000 1500 3000 0 2 4 6 8 0 2 4 6 Age (years) Age (years) Age (years) Age (years) (b) Calculate the sample correlation coefficient r. r= 0.980 (Round to three decimal places as needed.) Data Table (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. There is linear correlation. Age, x Vocabulary size, y 9 Interpret the correlation. Choose the correct answer below. 260 610 O A. As age increases, the number of words in children's vocabulary tends to increase 4 1100 O B. As age increases, the number of words in children's vocabulary tends to decrease. 2100 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 2600 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. 730 2200 O E. Aging causes the number of words in children's vocabulary to decrease. 250 1300 2500 MacBook Air