High School

Based on the housing data below, use linear regression to estimate a fair price for a 1900 ft² home.

| Square Feet | House Price (in thousands) |
|-------------|-----------------------------|
| 1400 | 105 |
| 1700 | 135 |
| 1500 | 183 |

A. $140,000
B. $156,000
C. $160,000
D. $176,000

Answer :

Answer:

Step-by-step explanation:

b i think

The solution is Option D.

The fair price of a 1900 ft² home is given by the equation A = $ 176,000

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the square feet of the house be represented as x

Let the number of houses be represented as y

Let the first point be P ( 1400 , 105)

Let the second point be Q ( 1500 , 183 )

Now , the slope of the equation is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope m = ( 183 - 105 ) / 1500 - 1400

Slope m = 78 / 100

Slope m = 0.78

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 1400 = 0.78 ( x - 105 )

On simplifying the equation , we get

y - 1400 = 0.78x - 81.9

Adding 1400 on both sides of the equation , we get

y = 0.78x + 1318.1

Therefore , the value of y is 0.78x + 1318.1

Hence , the equation of line is 0.78x + 1318.1 and the price is $ 176,000

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