Find r for the data shown below Select the correct answer Th

Find r for the data shown below.

Select the correct answer. The choices are rounded to the nearest thousandth.

A) 0.932

B)0.981

C)0.883

D)0.952

X	0	1	2	3	4
Y	25	18	16	12	9

Solution

Find r for the data shown below.

X

0

1

2

3

4

Y

25

18

16

12

9

Select the correct answer. The choices are rounded to the nearest thousandth.

A) 0.932

B) -0.981

C)0.883

D)0.952

x

y

xx

yy

xy

0

25

0

625

0

1

18

1

324

18

2

16

4

256

32

3

12

9

144

36

4

9

16

81

36

10

80

30.00

1430

122.00

Correlation coefficient

r =\\frac{\\sum xy - \\frac{\\sum x \\sum y}{n}}{\\sqrt{(\\sum x^2-\\frac{(\\sum x)^2}{n})(\\sum y^2-\\frac{(\\sum y)^2}{n})}}

r =\\frac{122 - \\frac{10* 80}{5}}{\\sqrt{(30-\\frac{(10)^2}{5})(1430-\\frac{(80)^2}{5})}}

= -0.981

X	0	1	2	3	4
Y	25	18	16	12	9