In a survey that included assessment of husband-and-wife heights, Hodges, Krech, and Crutchfield (1975) reported the following results. Let’s treat wife height as the predictor (X) variable and husband height as the outcome (Y) variable:rXY=.32Wifeheight: MX=64.42, sX=2.56Husbandheight: MY=70.46, sY=2.87N=1,296Calculate the values of the b0 and b coefficients to predict husband height in inches (Y) from wife height in inches (X) and write out this raw-score predictive equation.For a woman who is 62 in. tall, what is the predicted height of her future husband (on the basis of your equation for part a)? If her husband’s actual height turns out to be 73 in., what can you say about the difference between predicted and actual height? Do some short women marry tall men?Would the equation to predict wife height from husband height be the same as your equation in part a? Why or why not?What proportion of variance in husband height is predictable from wife height? What proportion of variance in wife height is predictable from husband height?

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Math

Statistics

296

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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In a survey that included assessment of husband-and-wife heights, Hodges, Krech, and Crutchfield (1975) reported the following results. Let’s treat wife height as the predictor (X) variable and husband height as the outcome (Y) variable:

r_XY=.32

Wife_height: M_X=64.42, s_X=2.56

Husband_height: M_Y=70.46, s_Y=2.87

N=1,296

Calculate the values of the b₀ and b coefficients to predict husband height in inches (Y) from wife height in inches (X) and write out this raw-score predictive equation.
For a woman who is 62 in. tall, what is the predicted height of her future husband (on the basis of your equation for part a)? If her husband’s actual height turns out to be 73 in., what can you say about the difference between predicted and actual height? Do some short women marry tall men?
Would the equation to predict wife height from husband height be the same as your equation in part a? Why or why not?
What proportion of variance in husband height is predictable from wife height? What proportion of variance in wife height is predictable from husband height?

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