Question

Daughter's Performance on a Stanardized Math Test	Mother's Performance on a Stanardized Math Test	Father's Performance on a Stanardized Math Test
84	90	72
65	70	85
91	86	81
75	82	83
81	84	84
79	93	72
83	72	70
92	90	88
61	74	68
73	60	82
85	83	72
90	93	94
54	64	69
70	78	62
Daughter -Mother Correlation:
Instructions: Indicate the correlation between daughters and mothers' scores on the standardized math test they took in the cell provided. Be sure that the cell shows the appropriate formula.

Answer 1

let x denote daughter's performance and y denotes mother's performance

	x	y	x^2	y^2	xy
	84	90	7056	8100	7560
	65	70	4225	4900	4550
	91	86	8281	7396	7826
	75	82	5625	6724	6150
	81	84	6561	7056	6804
	79	93	6241	8649	7347
	83	72	6889	5184	5976
	92	90	8464	8100	8280
	61	74	3721	5476	4514
	73	60	5329	3600	4380
	85	83	7225	6889	7055
	90	93	8100	8649	8370
	54	64	2916	4096	3456
	70	78	4900	6084	5460
total	1083	1119	85533	90903	87728

here N=no. of pair of observations=14

the correlation coeff between x and y is given as

rxy=((N*summation of(x*y))-((summation of x)*(summation of y)))/(square root of( ((N*summation of x^2)-(summation of x)^2)-((N*summation of y^2)-(summation of y)^2)))

=0.73