# Math Help - log help regression line

1. ## log help regression line

A researcher wanted to fit the relationship between a response variable, y, and a predictor variable, x, using an exponential model with y = a × 10bx. She log-transformed the y-values and fitted the least squares line
log10y = 0.758 - 0.687x.Based on this fit, the estimated response for the exponential model when x=0 is ________????

thanks guys...ive been stuck on this for ages

2. Originally Posted by texhno90@hotmail.com
A researcher wanted to fit the relationship between a response variable, y, and a predictor variable, x, using an exponential model with y = a × 10bx. She log-transformed the y-values and fitted the least squares line
log10y = 0.758 - 0.687x.Based on this fit, the estimated response for the exponential model when x=0 is ________????

thanks guys...ive been stuck on this for ages
Hmm... They were supposed to cover the necessary background material before they assigned this sort of exercise....

You are given that she used the equation $\log_{10}(y)\, =\, 0.758\, -\, 0.687x$, and that she converted this to an exponential model.

To learn how to convert between logarithmic and exponential equations, try here. Once you've learned about that, you'll see that her log equation would transform as:

. . . . . $y\, =\, 10^{0.758\, -\, 0.687x}$

To find the solution, you'll plug in the given value of "x".