Suppose we have savings and income data for a cross section of 32 families. It is postulated that savings is linearly related to income, so the econometrician formulates the following model: Yi = β1 + β2Xi + ui. However, the econometrician suspects something not quite right in the data and conducts a test in the following way. He drops the middle 4 observations and performs OLS regressions on the first 13 and the last 13 observations. He observes the residual sum of squares and constructs a statistic as such:. What test is the econometrician conducting, and what is he testing for?

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MCQs on Econometrics, which is the use of statistical methods to develop theories or test existing hypotheses in economics or finance. 
 


Suppose we have savings and income data for a cross section of 32 families. It is postulated that savings is linearly related to income, so the econometrician formulates the following model: Y<sub>i</sub> = β<sub>1</sub> + β<sub>2</sub>X<sub>i</sub> + u<sub>i</sub>. However, the econometrician suspects something not quite right in the data and conducts a test in the following way. He drops the middle 4 observations and performs OLS regressions on the first 13 and the last 13 observations. He observes the residual sum of squares and constructs a statistic as such:<br><img src='https://www.fatskills.com/images2/GradExams/0C48088C-9C6A-48BE-A317-1C4228CFA431.png' height='30' width='96'/>. What test is the econometrician conducting, and what is he testing for?