Sub Time Remaining: 00:38:12 Quiz: Module 7 - Quiz This Quiz: 10 pts 10 of 10 (2

Question

Sub Time Remaining: 00:38:12 Quiz: Module 7 - Quiz This Quiz: 10 pts 10 of 10 (2 complete) This Question: 1 pt 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 Age, X Vocabulary size y 450 700 1200 1650 2250 2100 (a) Choose the correct scatter plot below 3 A. OB. O C. OD. 2150 2150 2150 Vocabulary Age Age Age (b) The correlation coefficient r is 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. No linear correlation O B. Strong positive linear correlation O C. Weak negative linear correlation O D. Weak positive linear correlation OE. Strong negative linear correlation

Explanation / Answer

Ans:

a)Scatter plot:Option C is correct.

b)correlation cofficient r=0.970

c)strong positive linear correlation(Option B is correct.)

r=(6*35900-21*8350)/SQRT((6*91-21^2)*(6*14327500-8350^2))=0.970

x y xy x^2 y^2 1 450 450 1 202500 2 700 1400 4 490000 3 1200 3600 9 1440000 4 1650 6600 16 2722500 5 2250 11250 25 5062500 6 2100 12600 36 4410000 total= 21 8350 35900 91 14327500

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