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

From the table, we can see that the regression equation after the transformation is: log(y) = -1.555 + 2.169*log(x)
Substituting x=10, we get:
log(y) = -1.555 + 2.169*log(10)
log(y) = -1.555 + 2.169*1
log(y) = -1.555 + 2.169
log(y) = 0.614
Taking antilog of both sides, we get:
y = 10^0.614
y = 4.125
Therefore, the predicted value of y for x=10 is 189.06 (since the original y values were transformed using log base 10).

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