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Cross Sectional Linear Regression Exam Questions Answered Correctly (Graded A+)

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Cross Sectional Linear Regression Exam Questions Answered Correctly (Graded A+) 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 li...

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  • November 16, 2024
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Cross Sectional Linear Regression Exam Questions Answered Correctly (Graded A+)

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

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

What happens when we include irrelevant variables - Answers doest affect bias as their expectation is 0

How do we calculate bias size E(estimateB)-B1 - Answers B2*d1 where d1 is the slope from the simple
regression

if B2 is > 0 and correlation is >0 what direction is the bias - Answers positive

Var(B) = - Answers sample variance / SST(1-Rsquared)



where the Rsquared is from a regression of x1 on x2

what happens when the Rsquared between two parameters = 1 - Answers Multicollinearity

Estimate for variance = - Answers SSR / n-k-1

what are the BLUE - Answers best linear unbiased estimators



they have the smallest variance

what do CLM assumptions 1-4 imply - Answers consistency

what does CLM assumption 5 imply - Answers efficiency

How to test H0: B1 = B2 - Answers do H0: B1-B2 = 0



set theta = B1-B2



sub into regression rearrange and test H0: theta = 0



under ~ t n-k-1

What are the degrees of freedom in a F statistic - Answers q ; n-k-1

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