Question

Country		Life expectancy​ (years)	Infant mortality​ (deaths per​ 1,000 live​ births)
1		58	105
2		57	106
3		60	64
4		57	66
5		58	70
6		63	56
7		61	45
8		65	30
9		62	49
10		66	42
11		64	28
12		79	10
13		72	6
14		79	4
15		80	4
16		75	1

b. Compute r and r2. Based on the value for r2​, determine how much of the variation in the variable can be accounted for by the​ best-fit line.

r =

r2 =

Answer 1

Solution: We will use Excel to find the Correlation coefficient r between the two variables and the results are given below:

Therefore the correlation Coefficient Between Life Expectancy and Infant mortality is -0.88 rounded to two decimal places

or r= -0.88

And

So it means 77% of the variation in the variable can be accounted for by the​ best-fit line.