We have n observations on three variables, x, y, and z. If we regress y on x, the R-square is 0.5 and slope coefficient estimate is 0.6. If we regress z on x, the R-square is 0.8 and the slope coefficient estimate is 0.9. Assume that the residuals from the two regressions have zero sample correlation. What will be the estimate of slope coefficient of regressing z on y? Answer: (keep 3 decimal places).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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We have n observations on three variables, x, y, and z. If we regress y on x, the R-square is 0.5 and slope coefficient estimate is 0.6. If
we regress z on x, the R-square is 0.8 and the slope coefficient estimate is 0.9. Assume that the residuals from the two regressions
have zero sample correlation.
What will be the estimate of slope coefficient of regressing z on y?
Answer:
(keep 3 decimal places).
Transcribed Image Text:We have n observations on three variables, x, y, and z. If we regress y on x, the R-square is 0.5 and slope coefficient estimate is 0.6. If we regress z on x, the R-square is 0.8 and the slope coefficient estimate is 0.9. Assume that the residuals from the two regressions have zero sample correlation. What will be the estimate of slope coefficient of regressing z on y? Answer: (keep 3 decimal places).
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