Question

Bryce wrote the linear regression equation y = 1. 123 x minus 6. 443 to predict the armspan, y, of a person who is x inches tall. Riley has an armspan of 67. 5 inches. Which is the best prediction of Riley’s height? 54. 36 inches 65. 84 inches 66. 55 inches 69. 36 inches.

Answer 1

The best prediction of Riley’s height is 65.84 inches and it can be determined by using the linear regression equation.

Given that,

Bryce wrote the linear regression equation,

$\rm y=1.123x-6.443$

To predict the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches.

We have to find,

Which is the best prediction of Riley’s height?

According to the question,

To predict the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches.

The linear regression equation is,

$\rm y=1.123x-6.443$

Where the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches,

Then,

The best prediction of Riley’s height is,

$\rm 67.5 = 1.123x -6.443\\\\67.5+6.443=1.123x\\\\ 73.943 = 1.123x\\\\ x = \dfrac{73.943}{1.123}\\\\ x = 65.84 \ inches$

Hence, The best prediction of Riley’s height is 65.84 inches.

For more details about the Equation refer to the link given below.

brainly.com/question/9540093