(Solution Library) Use the data in DISCRIM.RAW to answer this question. (See also Computer Exercise C3.8 in Chapter 3.) Use OLS to estimate the model log


Question: Use the data in DISCRIM.RAW to answer this question. (See also Computer Exercise C3.8 in Chapter 3.)

  1. Use OLS to estimate the model
    \[\log (\text { psoda })=\beta_{0}+\beta_{1} \text { prpblck }+\beta_{2} \log (\text { income })+\beta_{3} p r p p o v+u\]
    and report the results in the usual form. Is \(\hat{\beta}_{1}\) statistically different from zero at the \(5 \%\) level against a two-sided alternative? What about at the \(1 \%\) level?
  2. What is the correlation between log(income) and prppov? Is each variable statistically significant in any case? Report the two-sided \(p\) -values.
  3. To the regression in part (i), add the variable \(\log (h\) seval \() .\) Interpret its coefficient and report the two-sided \(p\) -value for \(\mathrm{H}_{0}: \beta_{\text {log(hseval })}=0\)
  4. In the regression in part (iii), what happens to the individual statistical significance of log(income) and prppov? Are these variables jointly significant? (Compute a \(p\) -value.) What do you make of your answers?
  5. Given the results of the previous regressions, which one would you report as most reliable in determining whether the racial makeup of a zip code influences local fast-food prices?

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