4. Suppose you want to test whether you can solely rely on assessment to predict house price, thatis, knowing housing characteristics will not help you predict housing price, once assessment is included in the model Using a sample of 125 houses, you have estimated Price a+B,assess+ B,lotsize+B, sqft+B,bams+u and you decide to do a test at the 5% significance level Then your best approach to answering the question is to a) check each of the p-vahues for B.B.andB,.If none of them is <0.05, you decide you don't need the characteristics b) check the overall Fstatistic for the model If the corresponding p-value is < 0.05, you decide you need the characteristics 1 c) Test the joint significance of P.B.andp,.That is, estimate Price- aBamess + a, and calculate an Fstatistic that is equal to R-R.V3)/(1- R_V120). where is the R from the first regression and Risthe R from this second regression. If this F statistic is> 2.68 you decide that you need the characteristics (The 5% critical value in an F distribution with df (3, 120) is 2.68). d) do the same as in d but the decision rule is that if the Fstatistic is> 2.68, need the characteristics. don't

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4. Suppose you want to test whether you can solely rely on assessment to predict
house price, thatis, knowing housing characteristics will not help you predict
housing price, once assessment is included in the model Using a sample of 125
houses, you have estimated
Price a+B,assess+ B,lotsize+B, sqft+B,bams+u
and you decide to do a test at the 5% significance level Then your best approach to
answering the question is to
a) check each of the p-vahues for B.B.andB,.If none of them is <0.05, you decide
you don't need the characteristics
b) check the overall Fstatistic for the model If the corresponding p-value is < 0.05,
you decide you need the characteristics
1
c) Test the joint significance of P.B.andp,.That is, estimate
Price- aBamess + a, and calculate an Fstatistic that is equal to
R-R.V3)/(1- R_V120). where is the R from the first regression and
Risthe R from this second regression. If this F statistic is> 2.68 you decide that
you need the characteristics (The 5% critical value in an F distribution with df (3,
120) is 2.68).
d) do the same as in d but the decision rule is that if the Fstatistic is> 2.68,
need the characteristics.
don't
Transcribed Image Text:4. Suppose you want to test whether you can solely rely on assessment to predict house price, thatis, knowing housing characteristics will not help you predict housing price, once assessment is included in the model Using a sample of 125 houses, you have estimated Price a+B,assess+ B,lotsize+B, sqft+B,bams+u and you decide to do a test at the 5% significance level Then your best approach to answering the question is to a) check each of the p-vahues for B.B.andB,.If none of them is <0.05, you decide you don't need the characteristics b) check the overall Fstatistic for the model If the corresponding p-value is < 0.05, you decide you need the characteristics 1 c) Test the joint significance of P.B.andp,.That is, estimate Price- aBamess + a, and calculate an Fstatistic that is equal to R-R.V3)/(1- R_V120). where is the R from the first regression and Risthe R from this second regression. If this F statistic is> 2.68 you decide that you need the characteristics (The 5% critical value in an F distribution with df (3, 120) is 2.68). d) do the same as in d but the decision rule is that if the Fstatistic is> 2.68, need the characteristics. don't
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