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Given the following computer regression output, write the linear regression equation. Predictor Coef SE Coef IT Constant 54.09 1.54 35.01 x -1.10 0.08 -14.5 s=1.37 r-sq=98.1% R-sq(adj)=97.7% hat (y)=[?]+x

Pergunta

Given the following computer regression output,
write the linear regression equation.
Predictor Coef SE Coef IT
Constant 54.09 1.54 35.01
x	-1.10 0.08 -14.5
s=1.37 r-sq=98.1%  R-sq(adj)=97.7% 
hat (y)=[?]+x

Given the following computer regression output, write the linear regression equation. Predictor Coef SE Coef IT Constant 54.09 1.54 35.01 x -1.10 0.08 -14.5 s=1.37 r-sq=98.1% R-sq(adj)=97.7% hat (y)=[?]+x

Solução

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ZeldaEspecialista · Tutor por 3 anos

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Based on the given regression output, the linear regression equation can be written as:<br /><br />$\hat{y} = 54.09 - 1.10x$<br /><br />Where:<br />- $\hat{y}$ is the predicted value of the dependent variable.<br />- $x$ is the independent variable.<br />- $54.09$ is the coefficient of the constant term.<br />- $-1.10$ is the coefficient of the independent variable $x$.<br /><br />The linear regression equation represents the relationship between the dependent variable and the independent variable, where the predicted value of the dependent variable is calculated by multiplying the coefficient of the independent variable with the value of the independent variable and adding the constant term.
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