Solved: Consider a situation in which both Y and X are
Chapter , Problem 115MEE(choose chapter or problem)
Consider a situation in which both \(Y \text { and } X\) are random variables. Let
\(s_{x} \text { and } s_{y}\) be the sample standard deviations of the observed \(x^{\prime} s \text { and } y^{\prime} s\), respectively. Show that an alternative expression for the itted simple linear regression model \(\hat{y}=\widehat{\beta}_{0}+\widehat{\beta}_{1} x\) is
\(\widehat{y}=\bar{y}+r \frac{s_{y}}{s_{x}}(x-\bar{x})\)
Equation Transcription:
Text Transcription:
Y and X
s_x and s_y
x's and y's
\hat y=\widehat\beta_0+\widehat\beta_1 x
\wide haty=\bar y+r s_ys_x(x-\barx)
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer