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