Question

britney works with a property developer building houses close to the coastline in italy. her boss thinks that demand for the houses will be based primarily on their size. britney wants to show her boss that proximity to the ocean is also a big factor to consider.
so, she looks at several houses of the same size in the area. she records the distance of each house from the ocean (in kilometers), x. she also notes the number of people who offered to buy each house, y, when it was last put up for sale.
the least squares regression line of this data set is:
( y = -0.425x + 17.099 )
how many offers does this line predict for a house 9 kilometers away from the ocean?
round your answer to the nearest integer.
offers

Explanation:

Step1: Substitute the value of \(x\) into the regression equation

We are given the regression line \(y = - 0.425x+17.099\) and \(x = 9\). Substitute \(x = 9\) into the equation:
\(y=-0.425\times9 + 17.099\)

Step2: Calculate the value of \(y\)

First, calculate \(-0.425\times9=-3.825\). Then, \(y=-3.825 + 17.099=13.274\)

Step3: Round the result to the nearest integer

Since \(13.274\approx13\) (when rounding to the nearest integer)

Answer:

13