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For every additional unit of Match Rate the firm increase, the participation will increase 5.86 units.
e) Participation Rate = 83.08 + (3.5*5.86) = 103.58
This is not a reasonable expectation because participation cannot be above 100%, and the solution is greater. The linear function minimizes error on the low end of the regression line. Since 3.5 is on the high end of the regression line, there will be a higher error.
f) The R-square value is .0747. This value, in my opinion, is not high. Since it is low, one can expect Participation Rate and Match Rate to not be very related.
3.a) The regression function is as follows:
Birth Weight = 119...
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