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Bryce wrote the linear regression equation y=1.123x-6.443 to predict the armspan,y,of a person who is x inches tall. Riley has a armspan of 67.5 inches . Wich is the best prediction of Rileyś height?

Respuesta :

Substitute 67.5 into the equation

67.5 = 1.123x-6.443

1.123x= 73.943

X= 65.8441

Answer with explanation:

Linear regression equation which predict the arm span,y,of a person who is x inches tall is:

  y= 1.123 x - 6.443

Length of Arm span [tex]y_{1}[/tex]= 67.5 inches

We have to calculate [tex]x_{1}[/tex].

 [tex]\Rightarrow y_{1}=1.123 x_{1} -6.443\\\\\Rightarrow 67.5=1.123 x_{1} -6.443\\\\\Rightarrow 67.5+6.443=1.123 x_{1}\\\\\Rightarrow 73.943=1.1 2 3x_{1}\\\\\Rightarrow x_{1}=\frac{73.943}{1.123}\\\\\Rightarrow x_{1}=65.8441\\\\\Rightarrow x_{1}=65.85[/tex]

⇒Riley height=65.85 inches

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