Question

What size apartment should she expect And what is the monthly rent for 1,500 sq ft

Answer 1

5.

The given linear regression is

$y=0.775x+950.25$

Where x represents the square footage of the apartment and y represents the monthly rental price

Grace can afford $1500 per month rent

This implies

y = $1500

Substitute y = $1500 into the linear regression

This gives

$1500=0.775x+950.25$

Solve the equation for x

$\begin{gathered} 1500-950.25=0.775x \\ 549.75=0.775x \\ x=\frac{549.75}{0.775} \\ x=709.25 \end{gathered}$

Therefore,

The size of the apartment is 709.25 square footage