You run a regression analysis on a bivariate set of data (n=54n=54). With ¯x=35.7x¯=35.7 and ¯y=30.3y¯=30.3, you obtain the regression equation y=3.958x−111.001 y=3.958x-111.001 with a correlation coefficient of r=0.379 r=0.379. You want to predict what value (on average) for the response variable will be obtained from a value of x=190x=190 as the explanatory variable. What is the predicted response value?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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You run a regression analysis on a bivariate set of data (n=54n=54). With ¯x=35.7x¯=35.7 and ¯y=30.3y¯=30.3, you obtain the regression equation y=3.958x−111.001 y=3.958x-111.001 with a correlation coefficient of r=0.379 r=0.379. You want to predict what value (on average) for the response variable will be obtained from a value of x=190x=190 as the explanatory variable. What is the predicted response value?
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