for the following data (a) display the data in a scatter plot,(b) calculate the

Question

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,y1/200 2/500 3/1250 4/1450 5/2150 6/2200

The correlation coefficient r is ?

(Round to three decimal places as needed).

B. Which of the following best describes the type of correlation that exists between age and vocabulary size ? A. Strong negative linear correlation

B. Strong positive linear correlation

C. No linear correlation

D. Weak negative linear correlation

E. Weak positive linear correlation

Explanation / Answer

The statistical software output for this problem is:

Correlation between x and y is:
0.98100729

Hence,

The correlation coefficient is 0.981

This is a Strong positive linear correlation.

Option B is correct.

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