Question

Add each of the following (X, Y) score pairs to the data in the table below. (Add only the single data point in each part of this problem, so that there are always eight scores in the sample.) For each part, sketch a scatterplot of the data with the additional point included and compute the correlation between X and Y with the additional point included.

a) (10, 10)

b) (10, -10) (the kid whose data were added in part b threw the discuss in the wrong direction, so that distance is negative)

Distance jumped in feet (X)	Distance of discus throw in feet (Y)
3	1
1	3
4	5
1	1
3	4
5	1
1	2

Answer 1

a)

	x	y	x^2	y^2	xy
	3	1	9	1	3
	1	3	1	9	3
	4	5	16	25	20
	1	1	1	1	1
	3	4	9	16	12
	5	1	25	1	5
	1	2	1	4	2
	10	10	100	100	100
Total	28	27	162	157	146

b)

	x	y	x^2	y^2	xy
	3	1	9	1	3
	1	3	1	9	3
	4	5	16	25	20
	1	1	1	1	1
	3	4	9	16	12
	5	1	25	1	5
	1	2	1	4	2
	10	-10	100	100	-100
Total	28	7	162	157	-54