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Consider the regression equation In Y = 4.37 +0.2X₁ +0.3X2 a. Predict the value of Y when X₁ = 8.5 and X₂=4.8. b. Interpret the meaning of the regression coefficients 100 b₁, and 100 b₂. a. The predicted value of Y is. (Type an integer or decimal rounded to two decimal places as needed.) b. Choose the correct answer below. OA. Holding constant the other variables, for every one percent increase in X, or X₂, the value of Y increases by b₁ or b₂ units, respectively. OB. Holding constant the other variables, for every one unit increase in X, or X₂, the value of Y increases by b, or b2 percent, respectively. OC. For every decrease of one unit of In Y, holding bo constant, the estimated change in X, or X₂ is 100.b₁ or 100 b₂ units, respectively. O D. Holding constant the other variables, for every one unit increase in X, or X₂, the value of Y increases by 100 b₁ or 100 b2 percent, respectively. OE. Holding constant the other variables, for every one percent increase in X, or X₂, the value of Y increases by b₁ or b₂ percent, respectively.

Consider the regression equation In Y = 4.37 +0.2X₁ +0.3X2 a. Predict the value of Y when X₁ = 8.5 and X₂=4.8. b. Interpret the meaning of the regression coefficients 100 b₁, and 100 b₂. a. The predicted value of Y is. (Type an integer or decimal rounded to two decimal places as needed.) b. Choose the correct answer below. OA. Holding constant the other variables, for every one percent increase in X, or X₂, the value of Y increases by b₁ or b₂ units, respectively. OB. Holding constant the other variables, for every one unit increase in X, or X₂, the value of Y increases by b, or b2 percent, respectively. OC. For every decrease of one unit of In Y, holding bo constant, the estimated change in X, or X₂ is 100.b₁ or 100 b₂ units, respectively. O D. Holding constant the other variables, for every one unit increase in X, or X₂, the value of Y increases by 100 b₁ or 100 b2 percent, respectively. OE. Holding constant the other variables, for every one percent increase in X, or X₂, the value of Y increases by b₁ or b₂ percent, respectively.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the regression equation In Y = 4.37 +0.2X₁ +0.3X2- a. Predict the value of Y when X₁ = 8.5 and X₂ = 4.8. b. Interpret the meaning of the regression coefficients 100 b₁, and 100 b₂. a. The predicted value of Y is. (Type an integer or decimal rounded to two decimal places as needed.) b. Choose the correct answer below. OA. Holding constant the other variables, for every one percent increase in X, or X₂, the value of Y increases by b₁ or b2 units, respectively. OB. Holding constant the other variables, for every one unit increase in X, or X₂, the value of Y increases by b, or b2 percent, respectively. OC. For every decrease of one unit of In Y, holding bo constant, the estimated change in X, or X₂ is 100.b, or 100 b₂ units, respectively. OD. Holding constant the other variables, for every one unit increase in X, or X₂, the value of Y increases by 100 b₁ or 100 b2 percent, respectively. O E. Holding constant the other variables, for every one percent increase in X, or X₂, the value of Y increases by b₁ or b₂ percent, respectively.
Transcribed Image Text:Consider the regression equation In Y = 4.37 +0.2X₁ +0.3X2- a. Predict the value of Y when X₁ = 8.5 and X₂ = 4.8. b. Interpret the meaning of the regression coefficients 100 b₁, and 100 b₂. a. The predicted value of Y is. (Type an integer or decimal rounded to two decimal places as needed.) b. Choose the correct answer below. OA. Holding constant the other variables, for every one percent increase in X, or X₂, the value of Y increases by b₁ or b2 units, respectively. OB. Holding constant the other variables, for every one unit increase in X, or X₂, the value of Y increases by b, or b2 percent, respectively. OC. For every decrease of one unit of In Y, holding bo constant, the estimated change in X, or X₂ is 100.b, or 100 b₂ units, respectively. OD. Holding constant the other variables, for every one unit increase in X, or X₂, the value of Y increases by 100 b₁ or 100 b2 percent, respectively. O E. Holding constant the other variables, for every one percent increase in X, or X₂, the value of Y increases by b₁ or b₂ percent, respectively.
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