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. ​(b) The correlation coefficient r is nothing. ​(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. Weak positive linear correlation B. No linear correlation C. Strong positive linear correlation D. Strong negative linear correlation E. Weak negative linear correlation

Age, x   Vocabulary size, y
1   100
2   1050
3   1400
4   1300
5   2100
6   2500

Answer 1

	X	Y	X * Y	X2	Y2
	1	100	100	1	10000
	2	1050	2100	4	1102500
	3	1400	4200	9	1960000
	4	1300	5200	16	1690000
	5	2100	10500	25	4410000
	6	2500	15000	36	6250000
Total	21	8450	37100	91	15422500

r = 0.958

There is positive correlation between variable X and Y.

C. Strong positive linear correlation