Suppose we have the following simple linear regression (SLR) mode y = Bot Bi tu, E[u|x] = 0. To estimate the intercept and slope parameters in this population model, you are given the following sample statistics computed from random sample of {xi, yi}:

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 E4

Suppose we have the following simple linear regression (SLR) model:
y = Bo +B12 + u, E[u|]=0.
To estimate the intercept and slope parameters in this population
model, you are given the following sample statistics computed from a
random sample of {xi, yi}:
(sample) average of x () is 3.
(sample) average of y(y) is 250.
(sample) covariance between x and y is 20.
(sample) standard deviation of x (s) is.5.
(sample) standard deviation of y (sy) is.3.
A. Using the above statistics, compute an OLS estimate for the slope
parameter (₁).
(Hint: The answer is an integer.)
●
●
●
B. Using the above statistics and your answer in part A, compute an
OLS estimate for the intercept parameter (30).
(Hint: The answer is an integer.)
Transcribed Image Text:Suppose we have the following simple linear regression (SLR) model: y = Bo +B12 + u, E[u|]=0. To estimate the intercept and slope parameters in this population model, you are given the following sample statistics computed from a random sample of {xi, yi}: (sample) average of x () is 3. (sample) average of y(y) is 250. (sample) covariance between x and y is 20. (sample) standard deviation of x (s) is.5. (sample) standard deviation of y (sy) is.3. A. Using the above statistics, compute an OLS estimate for the slope parameter (₁). (Hint: The answer is an integer.) ● ● ● B. Using the above statistics and your answer in part A, compute an OLS estimate for the intercept parameter (30). (Hint: The answer is an integer.)
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