We use 2006GSS data to analyze the effect of children on a fulltime working mother's hours to relax per day (only women under 40 years old). Here are two equations (all slopes are statistically significant). The first equation uses a ratio-level variable (# of children); the second equation uses a set of reference group variables where "0 children" is the reference group:
HRSRELAX=3.70-.52(# OF CHILDREN)
HRSRELAX=3.90-1.17(1CHILD)-1.44(2CHILDREN)-1.70(3CHILDREN)-1.62(4ORMORECHILDREN)
Using each equation, predict hours to relax for 3 different women:
a woman with no children
a woman with one child
a woman with five children
Then, explain the difference between what the ratio-level version tells you about the effect of children in contrast to what the reference-group version tells you about the effect of children.
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