Question

Question 4: (Marks: 3)

The following table represents the percentage of teenagers in some selected countries who have used marijuana and the percentage who have used other drugs.

	Percentage Who Have Used
Country	Marijuana x	Other Illegal Drugs y
Czech Republic	22	4
Denmark	17	3
England	40	21
Finland	5	1
Ireland	37	16
Italy	19	8
Northern Ireland	23	14
Norway	6	3
Portugal	7	3
Scotland	53	31
United States	34	24

1. Determine the correlation coefficient, rounded to two decimal places, between the percentage of teenagers who have used marijuana and the percentage who have used other drugs. Show your work.

2. Does the following statement make sense? Explain your answer.

“I found a positive correlation for the data presented in the table relating the percentage of teenagers in various countries who have used marijuana and the percentage who have used other drugs. I concluded that using marijuana causes the use of other drugs.”

Answer 1

The statement "I found a positive correlation for the data presented in the table relating the percentage of teenagers in various countries who have used marijuana and the percentage who have used other drugs. I concluded that using marijuana causes the use of other drugs.” would be absolutely correct as a positive correlation suggests movement in same direction that is if one variable increases then other also increases and vice versa . Thus , if there is a positive correlation between percentage of teenagers in various countries who have used marijuana and the percentage who have used other drugs then we can say that using marijuana causes the use of other drugs.