Consider the regression equation log Y₁ = log 3.42 +1.5 log X₁ +1.26 log X2i- a. Predict the value of Y when X₁ =7.3 and X₂ = 4.3. b. Interpret the meaning of the regression coefficients b₁ and b₂.

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Consider the regression equation log Y₁ = log 3.42 +1.5 log X₁₁ +1.26 log X₂₁.
a. Predict the value of Y when X₁ =7.3 and X₂ = 4.3.
b. Interpret the meaning of the regression coefficients b₁ and b2.
Transcribed Image Text:Consider the regression equation log Y₁ = log 3.42 +1.5 log X₁₁ +1.26 log X₂₁. a. Predict the value of Y when X₁ =7.3 and X₂ = 4.3. b. Interpret the meaning of the regression coefficients b₁ and b2.
O A. Holding constant the other variables, for each one percent increase in X, or X₂, the value of Y increases by b₁
or b₂ percent respectively.
O B. Holding constant the other variables, for each one percent increase in X₁ or X₂, the value of Y increases by b₁
or b₂ units respectively.
O C. For every decrease of one unit of Y, holding bo constant, the estimated change in log X₁ or log X₂ is b₁ or b₂
units respectively.
O D. Holding constant the other variable, for every decrease of bo units in X, or X₂, the value of Y increases by b₁
or b₂ units respectively.
Transcribed Image Text:O A. Holding constant the other variables, for each one percent increase in X, or X₂, the value of Y increases by b₁ or b₂ percent respectively. O B. Holding constant the other variables, for each one percent increase in X₁ or X₂, the value of Y increases by b₁ or b₂ units respectively. O C. For every decrease of one unit of Y, holding bo constant, the estimated change in log X₁ or log X₂ is b₁ or b₂ units respectively. O D. Holding constant the other variable, for every decrease of bo units in X, or X₂, the value of Y increases by b₁ or b₂ units respectively.
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