Question: Use the data set in WAGE2.RAW for this problem. As usual, be sure all of the following regressions contain an intercept.

1. Run a simple regression of IQ on educ to obtain the slope coefficient, say, \(\tilde{\delta}_{1}\)
2. Run the simple regression of log(wage) on educ, and obtain the slope coefficient, \(\tilde{\tilde{\beta}}_{1}\)
3. Run the multiple regression of log(wage) on educ and $I Q$, and obtain the slope coefficients, \(\hat{\beta}_{1}\) and \(\hat{\beta}_{2}\), respectively.
4. Verify that \(\tilde{\beta}_{1}=\hat{\beta}_{1}+\hat{\beta}_{2} \tilde{\delta}_{1}\)

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