High School

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A real estate agent made a scatter plot with homeowners' property taxes on the y-axis and the sizes of their homes, in square feet, on the x-axis. The variables have a strong linear correlation, and the equation for the least squares regression line is \( y = 2.098x - 254.098 \).

Based on the equation, what should the agent expect the property taxes to be for a 1300-square-foot home in the area?

a) $2727.40
b) $2473.30
c) $1045.90
d) $1554.10

Answer :

Answer:

The correct option is b.

Step-by-step explanation:

It is given that y-axis of a scatter plot represents the property taxes and x-axis represents the sizes of their homes, in square feet.

The equation of least squares regression line is

[tex]y=2.098x-254.098[/tex]

We have to find the property taxes to be for a 1300-square-foot home in the area.

Substitute x=1300 in the given equation.

[tex]y=2.098(1300)-254.098[/tex]

[tex]y=2727.4-254.098[/tex]

[tex]y=2473.302[/tex]

[tex]y\approx 2473.30[/tex]

The property taxes for a 1300-square-foot home in the area is $2473.30. Therefore the correct option is b.

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Rewritten by : Barada

b. If square-foot is on the x-axis then we can substitute for x in the equation and solve, and when we do, we get 2473.302 which is is B when rounded.