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This Question: 1 pt 3 of 4 (0 complete) ? This Qu For the following data (a) display the data in a scatter plot, (b) calculate the correlation coefficient r, and (c) make a conclusion about the type of correlation The ages (in years) of 6 children and the number of words in their vocabulary 350 1450 O C. ?. Age Age Round to three decimal places as needed.) (c) Which of the following best describes the type of correlation that exists between age and vocabulary size? O A. Weak positive linear correlation O Type here to search 4
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Answer #1

Ans:

a)Option C is correct.

b)

x y xy x^2 y^2
1 100 100 1 10000
2 950 1900 4 902500
3 1350 4050 9 1822500
4 1450 5800 16 2102500
5 1850 9250 25 3422500
6 2200 13200 36 4840000
Total= 21 7900 34300 91 13100000

correlation cofficient,r=(6*34300-21*7900)/SQRT((6*91-21^2)*(6*13100000-7900^2))=0.968

c)strong positive linear correlation

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