Question

Daughter's Performance on a Stanardized Math Test Mother's Performance on a Stanardized Math Test Father's Performance...

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.

Homework Answers

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

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