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Econ 120b midterm Test Questions and Answers Updated.

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confidence interval - Answer covariance - Answer correlation formula - Answer = Covariance/(std x * std y) simple random sampling - Answer Y1 and Y2 are independently and identically distributed law of large numbers - Answer Y bar becomes a consistent estimator of u (pop mean) when n gets larger and larger Central Limit Theorem - Answer The theory that, as sample size increases, the distribution of sample means of size n, randomly selected, approaches a normal distribution. E[ u (pop mean) = - Answer E[ u (pop mean) = pop mean the larger the variance of x: what happens to variance of b1 - Answer variance to b1 gets smaller spread is what proportional to n - Answer spread is proportional to n normal distribution - Answer N(mean, variance) N(0,1) (CLT) Why use Y bar to estimate uy - Answer Y bar is unbiased: E(Y bar) = uy Y bar is consistent: Y bar -- uy p Y bar is the least squares estimator of uy (lecture slides 1 page 44) sample variance - Answer (1/n-1) * sum of (x-mean)^2 what is ui in linear regression - Answer things beside x that influence Y

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Econ 120b midterm Test Questions
and Answers 2025-2026 Updated.
confidence interval - Answer



covariance - Answer



correlation formula - Answer = Covariance/(std x * std y)



simple random sampling - Answer Y1 and Y2 are independently and identically distributed



law of large numbers - Answer Y bar becomes a consistent estimator of u (pop mean) when n
gets larger and larger



Central Limit Theorem - Answer The theory that, as sample size increases, the distribution of
sample means of size n, randomly selected, approaches a normal distribution.



E[ u (pop mean) = - Answer E[ u (pop mean) = pop mean



the larger the variance of x: what happens to variance of b1 - Answer variance to b1 gets
smaller



spread is what proportional to n - Answer spread is proportional to n



normal distribution - Answer N(mean, variance)

N(0,1) (CLT)



Why use Y bar to estimate uy - Answer Y bar is unbiased: E(Y bar) = uy

Y bar is consistent: Y bar --> uy

p

Y bar is the least squares estimator of uy (lecture slides 1 page 44)

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