Consider the following model: Yi = β1 + β2 X2i + ui. Given the data, an econometrician performs a test in the following manner:1. He estimates the regression and obtains the residuals.2. He runs a regression of the squared residuals on the original explanatory variables, their squared values, and their cross products, and obtains the R2 from this regression.3. He then conducts a statistic, n R2, and compares it to the critical chi-square value at the chosen level of significance.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. 
 


Consider the following model: Y<sub>i</sub> = β<sub>1</sub> + β<sub>2</sub> X<sub>2i</sub> + u<sub>i</sub>. Given the data, an econometrician performs a test in the following manner:<br/>1. He estimates the regression and obtains the residuals<br><img src='https://www.fatskills.com/images2/GradExams/3D9F3F52-1BBD-44C0-B64D-46C7E2A0FC4A.png' height='18' width='17'/>.<br/>2. He runs a regression of the squared residuals<br><img src='https://www.fatskills.com/images2/GradExams/74AD970B-E975-4A18-9D4D-2753DB14DA4C.png' height='27' width='18'/> on the original explanatory variables, their squared values, and their cross products, and obtains the R<sup><sub>2</sub> </sup>from this regression.<br/>3. He then conducts a statistic, n R<sup><sub>2</sub></sup>, and compares it to the critical chi-square value at the chosen level of significance.<br/>What test is the econometrician conducting, and what is he testing for?