Question

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?

Answer 1

Substitute 67.5 into the equation

67.5 = 1.123x-6.443

1.123x= 73.943

X= 65.8441

Answer 2

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)=(73.943)/(1.123)\\\\\Rightarrow x_(1)=65.8441\\\\\Rightarrow x_(1)=65.85`

⇒Riley height=65.85 inches