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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.

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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. OA. OB O c. OD. 3000- 3000- ry size 2400- ry size 2400- 1800- 1800- Q Vocabulary size Vocabulary size 1200- 1200- N P Vocabula 600- 600 O- 1500 3000 0 2 4 6 8 1500 3000 Age (years) Age (years) Age (years) Age (years) (b) Calculate the sample correlation coefficient r. - X Data Table 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. Age, x Vocabulary size, y 1 3 There is linear correlation. N 260 540 Interpret the correlation. Choose the correct answer below. 1100 1900 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. 2600 ANDWOMAN O B. Aging causes the number of words in children's vocabulary to increase. 640 C. As age increases. the number of words in children's vocabulary tends to increase. 2100 240 1300

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