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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 (c) below.
The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (c) below. Click here to view the data table. (a) Display the data in a scatter plo Data Table .._. D. A m 8 0' m 3000 0' ,5 Age x Vocabulary size y a 2400 ll) 6 ' ' ll) 5% 4+l-_ _ Ox 1 5 g 1800 Ox 3 . . E 1200 g2 -_ [1" 240 g 600 [1" 0 > 560 0 0 1500 3000 1300 0 2 4 6 8 Age (years) - Age (years) 1900 (b) Ca culate the sample correlatio 2500 710 2200 270 1200 2300 r = (Round to three decimal places as (c) Describe the type of correlation, mhmmmmmhmm There is V linear Interpret the correlation. Choose th . Aging causes the number 0 . Aging causes the number 0 . Based on the correlation, the - o o - - number of words in their vocabulary . As age increases, the number of words in children's vocabulary tends to decrease. Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabulary. Clear all The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (c) below. (a) Display the data in a scatter plot. Choose the correct graph below. \\IA \\J B. \\VIC \\ID A A w 8 0' w 8 0' m 3000 0' w 3000 0' N N N N a e m e ,. a 2400 m 2400 5% 4+1- Q g 4 -. Q g 1800 Q g 1800 Q . . .. 1200 1200 g 2 - [1" 8 2 ' D\" 8 600 D\" 8 600 [1" > - > ' > > 0 > 0 > 0 0 0 1500 3000 0 1500 3000 0 2 4 6 8 0 2 4 6 8 Age (years) Age (years) Age (years) Age (years) (b) Ca culate the sample correlation coefcient 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 V linear correlation. Interpret the correlation. Choose the correct answer below. (:3 A. Aging causes the number of words in children's vocabulary to increase. (:3 B. Aging causes the number of words in children's vocabulary to decrease. (:3 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 (:3 D. As age increases, the number of words in children's vocabulary tends to decrease. (:3 E. Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabulary. Clear all
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