Question

For the following scores,

Participant	X	Y
A	1	3
B	3	5
C	2	1
D	2	3

A. Based on the scatterplot:

The correlation between X and Y is 1

The correlation between X and Y is positive

The correlation between X and Y is negative

B. The correlation between X and Y is

large and positive. As X increases, Y increases

large and positive. As X increases, Y decreases

medium and positive. As X increases, Y decreases

large and negative. As X increases, Y increases

large and negative. As X increases, Y decreases

Answer 1

Solution :

X	Y	XY	X^2	Y^2
1	3	3	1	9
3	5	15	9	25
2	1	2	4	1
2	3	6	4	9

n	4
sum(XY)	26.00
sum(X)	8.00
sum(Y)	12.00
sum(X^2)	18.00
sum(Y^2)	44.00
Numerator	8.00
Denominator	16.00
r	0.5000
r square	0.2500
Xbar(mean)	2.0000
Ybar(mean)	3.0000
SD(X)	0.7071
SD(Y)	1.4142
b	1.0000
a	1.0000

A)

The correlation between X and Y is positive

B)

large and positive. As X increases, Y increases