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Cross Sectional Linear Regression Exam Questions and answers

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Cross Sectional Linear Regression Exam Questions and answers 5 Classical Linear Assumptions - AnswersLinearity, Random Sampling, no perfect collinearity, zero conditional mean, homoskedasticity 6th Linear Assumption - Answerserrors are normally distributed What proves 6th linear assu...

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  • November 17, 2024
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  • Cross Sectional Linear Regression
  • Cross Sectional Linear Regression
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©Themoon EXAM SOLUTIONS
17/11/2024 12:53PM

Cross Sectional Linear Regression Exam
Questions and answers



5 Classical Linear Assumptions - Answers✓✓Linearity, Random Sampling, no perfect
collinearity, zero conditional mean, homoskedasticity


6th Linear Assumption - Answers✓✓errors are normally distributed


What proves 6th linear assumption - Answers✓✓central limit theorem - for large n. Although
this is weak as the error distribution depends on the number of factors in u and their individual
distribution. Also Assumes all u affect y in a different way


Cov(regressors, residuals) = - Answers✓✓0


Formula for SST - Answers✓✓SST = SSE + SSR


(SS of fitted values) + (SS of Residuals)


Measure sample variance = SST = - Answers✓✓sample var(fitted y) + sample var(residuals)


R squared = - Answers✓✓SSE/SST or 1-SSR/SST


What is R squared - Answers✓✓R squared is the amount of variance explained by the model

, ©Themoon EXAM SOLUTIONS
17/11/2024 12:53PM

Unbiased estimator of variance - Answers✓✓SSR / n-2


test statistic formula - Answers✓✓(Estimated - Parameter) / (Standard deviation of estimated)


Degrees of Freedom for a t stat - Answers✓✓n-k-1


What is p-value show - Answers✓✓prob of observing a t stat as extreme as the Ho if the Ho
were true


what is interpretation of a quadratic term - Answers✓✓differentiate wrt to it


change in y wrt to the change in x


How do we obtain OLSE - Answers✓✓minimise RSS


what if want to examine combined effect of two parameters - Answers✓✓ceteris paribus all else
and add the coefficients together


Relationship between fitted values and residuals - Answers✓✓sample cov = 0


What is the Frisch-Waugh Theorem? - Answers✓✓the coefficient measures the sample
relationship between y and the parameter after the other parameters have been partialled out


What if the regression runs through the origin - Answers✓✓the R squared could be negative


= the sample average explains more of variation in y than the explanatory variables

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