For the following data set a Draw a scatter b by hand comput

For the following data set (a) Draw a scatter (b) by hand, compute the compellation coefficient and comment on the type of relation that appeals to exist between x and y Which of the following scatter diagrams comes ponds to the given data? What type of relation appears to exist between x and y? The correlation coefficient is close to linear relation exists between x and y.

Solution

Step 1: Find XY , X2 and Y2 as it was done in the table below.

Step 2: Find the sum of every column to get:

X=30 , Y=10.7 , XY=69.6 , X2=208 , Y2=24.03

Step 3: Use the following formula to work out the correlation coefficient.

r=0.9592

Graph D is the suitable scatter plot

Since linear correlation coefficient is near to 1 and positive there is a strong positive correlation between x and y

X	Y	XY	XX	YY
2	1.5	3	4	2.25
5	1.8	9	25	3.24
7	2.2	15.4	49	4.84
7	2.3	16.1	49	5.29
9	2.9	26.1	81	8.41