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Correlation

Question

Wired Faculty App

Calculate the correlation co-efficient between the heights of fathers in inches (X) and their son (Y)

X

65

66

57

67

68

69

70

72

^Y

67

56

65

68

72

72

69

71

Solution

X	dX (d from AM = 67)	dX²	Y	dY (d from AM = 68)	dY²	dXdY
65	–2	4	67	–1	1	2
66	–1	1	56	–12	144	12
57	–10	100	65	–3	9	30
67	0	0	68	0	0	0
68	+1	1	72	4	16	4
69	+2	4	72	4	16	8
70	+3	9	69	1	1	3
72	5	25	71	3	9	15
ΣX = 534	ΣdX = –2	Σ dX² = 144	ΣY = 540	ΣdY = –4	ΣrfY² = 196	ΣdXdY = 74

Some More Questions From Correlation Chapter

If r_xy is positive the relation between X an Y is of the type:

If r_xy = 0 the variable X and Y are:

Of the following three measures which can measure any type of relationship:

If precisely measured data are available the simple correlation coefficient is:

Why is r preferrred to co-variance as a measure of association?

Can r lie outside -1 and 1 range depending on the type of data?

Does correlation imply causation?

When is rank correlation more precise than simple correlation coefficient?

Does zero correlation mean independenc?

Can simple correlation coefficient measure any type of relationship?

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