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?
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 \(y_{1}\)= 67.5 inches
We have to calculate \(x_{1}\).
\(\Rightarrow y_{1}=1.123 x_{1} -6.443\\\\\Rightarrow 67.5=1.123 x_{1} -6.443\\\\\Rightarrow 67.5+6.443=1.123 x_{1}\\\\\Rightarrow 73.943=1.1 2 3x_{1}\\\\\Rightarrow x_{1}=\frac{73.943}{1.123}\\\\\Rightarrow x_{1}=65.8441\\\\\Rightarrow x_{1}=65.85\)
⇒Riley height=65.85 inches