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. 3000 2400- 1800- 1200- 600- 0- + 0 2 4 6 8 Age (years) There is Q G (b) Calculate the sample correlation coefficient r. 8- 6- 4- 2- 0 1500 Age (years) 3000 Q Q 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. linear correlation. Interpret the correlation. Choose the correct answer below. O A. As age increases, the number of words in children's vocabulary tends to increase. OB. As age increases, the number of words in children's vocabulary tends to decrease. O C. cabulary size 8 6- 4- 2- 0- 0 1500 Age (years) 3000 Q Q O D. Vocabulary size 3000- 2400 1800- 1200- 600- 04 0 2 4 6 8 Age (years) Q Q

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