population as a percentage of the total population. One model to test for a relationship is log(rent) = Bo + ß1 log(pop) + B2 log(avginc) + B3 pctstu + u. i) State the null hypothesis that size of the student body relation to the population has no ceteris paribus effect on monthly rents. State the alternative that there is an effect. ii) The equation estimated using 1990 data for 64 college towns is log(rent) = .0443+.066 log(pop) + .507 log(avginc) + .0056 pctstu (.844) (.039) (.081) (.0017) R² = 0.458. iii) What is wrong with the statement: “A 10% increase in population is associated with about a 6.6% increase in rent"? iv) Test the hypothesis stated in part(i) at 1% level of significance. v) Give interval estimators for ß1, B2 and B3 and interpret them.

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population as a percentage of the total population. One model to test for a relationship is
log(rent) = Bo + ß1 log(pop) + B2 log(avginc) + B3 pctstu + u.
i) State the null hypothesis that size of the student body relation to the population has no
ceteris paribus effect on monthly rents. State the alternative that there is an effect.
ii) The equation estimated using 1990 data for 64 college towns is
log(rent) = .0443+.066 log(pop) + .507 log(avginc) + .0056 pctstu
(.844) (.039)
(.081)
(.0017)
R² = 0.458.
iii) What is wrong with the statement: “A 10% increase in population is associated with
about a 6.6% increase in rent"?
iv) Test the hypothesis stated in part(i) at 1% level of significance.
v) Give interval estimators for ß1, B2 and B3 and interpret them.
Transcribed Image Text:population as a percentage of the total population. One model to test for a relationship is log(rent) = Bo + ß1 log(pop) + B2 log(avginc) + B3 pctstu + u. i) State the null hypothesis that size of the student body relation to the population has no ceteris paribus effect on monthly rents. State the alternative that there is an effect. ii) The equation estimated using 1990 data for 64 college towns is log(rent) = .0443+.066 log(pop) + .507 log(avginc) + .0056 pctstu (.844) (.039) (.081) (.0017) R² = 0.458. iii) What is wrong with the statement: “A 10% increase in population is associated with about a 6.6% increase in rent"? iv) Test the hypothesis stated in part(i) at 1% level of significance. v) Give interval estimators for ß1, B2 and B3 and interpret them.
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