The following data set present data on a sample of father\'s occupational presti

Question

The following data set present data on a sample of father's occupational prestige score and their daughter's occupational prestige score? We want to test the hypothesis that daughters occupational prestige score depends (or is determined by) father's occupational prestige score. Hence the dependent variable is daughter's occupational prestige score and the independent variable is father's occupational prestige scores. Data on a sample of fathers and their daughters' occupational prestige score. In the above data set you have father's prestige score and daughter's prestige score. Use these data and calculate correlation and regression coefficients and respond to the following questions before you go to respond to the problem set. What is the correlation between daughter's prestige score and father's prestige score? What is the unstandardized regression coefficient of daughter's score on father's 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? With one unit of increase in father's prestige score, there will be how many units of increase in daughter's prestige score?

Explanation / Answer

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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