Imagine we have a binary variable that is equal to 1 if an individual did not vote and zero otherwise. We can retrieve the fraction of individuals that voted by Please mark all that apply!多项选择题

A

there is no way to uncover the average with the variable given

B

counting the number of individuals with a zero and dividing by the total number of individuals

C

taking 1 minus the average of this variable

D

counting the number of individuals with a 1 and dividing by the total number of individuals

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2. Approximately Answer Question 2[input] of Australian teenagers often continue to use social media after 1am.

Let (X) have the following CDF:  𝐹 𝑋 ( 𝑥 ) = { 0 , 𝑥 < 0 , 1 4 , 0 ≤ 𝑥 < 1 , 1 4 + 𝑥 − 1 2 , 1 ≤ 𝑥 < 2 , 1 , 𝑥 ≥ 2.   Which statement is correct?

2. Approximately Answer Question 2[input] of Australian teenagers often continue to use social media after 1am.

The true regression model is 𝑦 = 𝛽 0 + 𝛽 1 𝑥 1 + 𝛽 2 𝑥 2 + 𝑢 . However, a researcher omitted 𝑥 2 and estimated the following model: 𝑦 = 𝛽 0 + 𝛽 1 𝑥 1 + 𝑒 . The estimated slope parameter from the second regression equation can be written as 𝛽 ^ 1 = 𝛽 1 + 𝐶 𝑜 𝑣 ( 𝑥 1 , 𝛽 2 𝑥 2 + 𝑢 ) 𝑉 𝑎 𝑟 ( 𝑥 1 ) . This means that, when 𝐶 𝑜 𝑣 ( 𝑥 1 , 𝛽 2 𝑥 2 + 𝑢 ) 𝑉 𝑎 𝑟 ( 𝑥 1 ) < 0 , the parameter estimate will have ...

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