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What is the predicted explanatory value?

You run a regression analysis on a bivariate set of data (n=87). You obtain the regression equation

y=-3.815x+47.575

with a correlation coefficient of r=-0.349 (which is significant at α=0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 160 on the response variable.

What is the predicted explanatory value?
x = 

(Report answer accurate to one decimal place.)

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