Respuesta :

Answer:

B. 57

Step-by-step explanation:

Given:

A regression line for some data transformed with logarithms predicts that when

[tex]x=7 , \log(y)=1.755[/tex]

To find what will the line predicts [tex]y[/tex] value when [tex]x=7[/tex] to nearest whole number.

Solution:

When  [tex]x=7[/tex]

[tex]\log(y)=1.755[/tex]

We can solve for [tex]y[/tex] by using logarithm properties.

By logarithm properties.

If [tex]\log(a)=b[/tex]

[tex]a=10^b[/tex]

Thus, we have:

[tex]y=10^{1.755}[/tex]

∴ [tex]y=56.88\approx 57[/tex]