After a transformation of the y-variable values into log y, and performing a regression analysis produced the following tables: For x₁= 10, the predicted value of y is ___. A)155.79 B)1.25 C)2.42 D)189.06 E)18.90

Question

Quizplus · Accepted Answer

Looking at Table 1, the coefficient of the independent variable (log x) is 0.3379, and the constant is 4.4474. Therefore, the regression equation is y = 4.4474 + 0.3379*log(x).
Substituting 10 for x, we get y = 4.4474 + 0.3379*log(10) = 4.4474 + 0.3379 = 4.7853. 
Antilogging this value gives us the predicted value of y as 189.06.

After a Transformation of the Y-Variable Values into Log Y