Q8. Are rent rates influenced by the student population in a college town? Let rent be the average monthly rent paid on rental units in a college town in the United States. Let pop denote the total city population, avginc the average city income, and pctstu the student population as a percentage of the total population. One model to test for a relationship is log(rent) = 0.03048 + 0.5 * log(pop) +0.673 log(avginc) + 0.0046 pctstu (.844) (.039) (.081) (.0028) i) State the null hypothesis that the percentage of students relative to the population has no ceteris paribus effect on monthly rents. State the alternative that there is an

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Q8. Are rent rates influenced by the student population in a college town? Let rent be the average
monthly rent paid on rental units in a college town in the United States. Let pop denote the total
city population, avginc the average city income, and pctstu the student population as a
percentage of the total population. One model to test for a relationship is
log(rent) = 0.03048 +
0.5 * log(pop) +0.673 log(avginc) + 0.0046 pctstu
(.844)
(.039)
(.081)
(.0028)
i) State the null hypothesis that the percentage of students relative to the population
has no ceteris paribus effect on monthly rents. State the alternative that there is an
effect.
What signs do you expect for B₁ and ₂ ?
The equation estimated for 64 college towns is
log(rent) = 0.03048 + 0.5 * log(pop) + 0.673 log(avginc) + 0.0045 pctstu
(.844)
(.039)
(.081)
(.0017)
Standard errors are given in the parentheses. test the null hypothesis H_0 that "10% ceteris
paribus increase in population is associated with about a 6.6% increase in rent" at 1% level.
iv) Using estimated equation in part (iii), test the hypothesis stated in part 1 at 5% level
and 1% level.
iii)
Transcribed Image Text:Q8. Are rent rates influenced by the student population in a college town? Let rent be the average monthly rent paid on rental units in a college town in the United States. Let pop denote the total city population, avginc the average city income, and pctstu the student population as a percentage of the total population. One model to test for a relationship is log(rent) = 0.03048 + 0.5 * log(pop) +0.673 log(avginc) + 0.0046 pctstu (.844) (.039) (.081) (.0028) i) State the null hypothesis that the percentage of students relative to the population has no ceteris paribus effect on monthly rents. State the alternative that there is an effect. What signs do you expect for B₁ and ₂ ? The equation estimated for 64 college towns is log(rent) = 0.03048 + 0.5 * log(pop) + 0.673 log(avginc) + 0.0045 pctstu (.844) (.039) (.081) (.0017) Standard errors are given in the parentheses. test the null hypothesis H_0 that "10% ceteris paribus increase in population is associated with about a 6.6% increase in rent" at 1% level. iv) Using estimated equation in part (iii), test the hypothesis stated in part 1 at 5% level and 1% level. iii)
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