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Based on the housing data below, which equation can be used to calculate
fair housing prices?
Square Feet/ Housing Price (in thousands)

1400/105
1700/135
1500/133


A. y= 0.0877- 9.286
B. y=0.087 + 9.286x
C. y= 0.087x+ 9.286
D. y=0.074x + 50.48​

Respuesta :

Answer: A  y= 0.0877- 9.286

Step-by-step explanation:

confirmed

MrRoyal

The linear regression equation is (a)  [tex]\^y = 0.0877\^x - 9.286[/tex]

The table entry is given as:

x            y

1400    105

1700    135

1500    133

To determine the equation, we make use of a graphing calculator.

From the graphing calculator, we have:

  • Sum of X = 4600
  • Sum of Y = 373
  • Mean X = 1533.3333
  • Mean Y = 124.3333
  • Sum of squares (SSX) = 46666.6667
  • Sum of products (SP) = 4066.6667

The regression equation is represented as:

[tex]\^y = b\^x + a[/tex]

Where

[tex]b =\frac{SP}{SSX}[/tex]

So, we have:

[tex]b = \frac{4066.67}{46666.67}[/tex]

[tex]b= 0.08714[/tex]

Also, we have:

[tex]a = MY - bMX[/tex]

[tex]a = 124.33 - (0.09*1533.33)[/tex]

[tex]a= -9.28571[/tex]

Substitute the values of (a) and (b) in [tex]\^y = b\^x + a[/tex]

[tex]\^y = 0.08714\^x - 9.28571[/tex]

Approximate

[tex]\^y = 0.087\^x - 9.286[/tex]

Hence, the equation is (a)  [tex]\^y = 0.0877\^x - 9.286[/tex]

Read more about linear regression equations at:

https://brainly.com/question/25472374

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