You run a regression analysis and obtain the regression equation y = 1.784x 22.666 with a correlation coefficient of r = 0.897. You want to predict what value (on average) for the response variable will be obtained from a value of x = 120 as the explanatory variable. What is the predicted response value? y = (Report answer accurate to one decimal place.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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You run a regression analysis and obtain the regression equation

\[ y = 1.784x - 22.666 \]

with a correlation coefficient of \( r = 0.897 \). You want to predict what value (on average) for the response variable will be obtained from a value of \( x = 120 \) as the explanatory variable.

What is the predicted response value?

\[ y = \]

(Report answer accurate to one decimal place.)
Transcribed Image Text:You run a regression analysis and obtain the regression equation \[ y = 1.784x - 22.666 \] with a correlation coefficient of \( r = 0.897 \). You want to predict what value (on average) for the response variable will be obtained from a value of \( x = 120 \) as the explanatory variable. What is the predicted response value? \[ y = \] (Report answer accurate to one decimal place.)
Expert Solution
Step 1

Formula for predicted response value (Y)

Y= bX + a 

Where X is explanatory variable

 

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