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

six

children and the number of words in their vocabulary

Age, x	Vocabulary size, y
1	300
2	700
3	1000
4	1450
5	2100
6	2400

make a scatter plot based on this

​(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?

A. no linear correlation

B. weak negative linear correl

C. strong negative linear correla

D. weak positive linear correlation

E. strong positive linear correlation

Answer 1

a)

b)

r = 0.994

c)

E. strong positive linear correlation