Question

Use the table below to find the correlation coefficient and then determine whether there is a linear relation between x and y. You can use hand or calculator to find r this time.

x 0 5 7 8 9 y 3 8 6 9 4

A r = 0.4403, no there is no linear relation between x and y

B r = 0.3304, yes there is a linear relation between x and y

C r = 0.4403, yes there is a linear relation between x and y

D r = 0.3304, yes there is a linear relation between x and y

Answer 1

Solution:

X	Y	XY	X^2	Y^2
0	3	0	0	9
5	8	40	25	64
7	6	42	49	36
8	9	72	64	81
9	4	36	81	16

n	5
sum(XY)	190.00
sum(X)	29.00
sum(Y)	30.00
sum(X^2)	219.00
sum(Y^2)	206.00
Numerator	80.00
Denominator	181.71
r	0.4403
r square	0.1938
Xbar(mean)	5.8000
Ybar(mean)	6.0000
SD(X)	3.1875
SD(Y)	2.2804
b	0.3150
a	4.1732

r = 4403

option c

r = 0.4403, yes there is a linear relation between x and y