(See Solution) We used the data in MEAP93.RAW for Example 2.12. Now we want to explore the relationship between the math pass rate (mathI0) and spending
Question: We used the data in MEAP93.RAW for Example 2.12. Now we want to explore the relationship between the math pass rate (mathI0) and spending per student (expend).
- Do you think each additional dollar spent has the same effect on the pass rate, or does a diminishing effect seem more appropriate? Explain.
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In the population model
\[\operatorname{math} 10=\beta_{0}+\beta_{1} \log (\text { expend })+u\]
argue that \(\beta_{1} / 10\) is the percentage point change in math10 given a 10 percent increase in expend. - Use the data in MEAP93.RAW to estimate the model from part (ii). Report the estimated equation in the usual way, including the sample size and \(R\) -squared.
- How big is the estimated spending effect? Namely, if spending increases by 10 percent, what is the estimated percentage point increase in math10?
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