What is the correlation between daughter’s prestige score and father’s prestige score? What is the coefficient of determination for this problem? What is the percentage of explained variance in daughter’s score by father’s score? Could father’s prestige score be dependent variable?
FIRST AND LAST DAUGHTER ID | PRESTIGE OCCUPATIONAL PRESTIGE SCORE FATHER’S | DAUGHTER’S OCCUPATIONAL PRESTIGE SCORE |
ID | X | Y |
CC | 80 | 82 |
PP | 78 | 77 |
UU | 75 | 68 |
DD | 70 | 77 |
NN | 69 | 60 |
AA | 66 | 52 |
XY | 64 | 48 |
NM | 52 | 57 |
r =0.7332
(sum of x=554, Y=521, xy=36664 ,x^2 =38926,y^2=35063
r= cov x(y)/sxsy
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Regression calculator
y =1.041-6.992
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coeff of deternination = r^2 =0.5332
Coefficient of variation explains the variance according to variance of dep variable
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For 1 increase in father score increase in daughter score = slope =1.041
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