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Given the line of best fit for a set of data points with the equation y = 5x – 2.5,
what is the residual for the point (5, 26)?

A. –3.5

B. –26

C. 3.5

D. 26

Respuesta :

the answer i got was - 3.5

Answer:

The correct option is C.

Step-by-step explanation:

The equation of line of best fit for a set of data is

[tex]y=5x-2.5[/tex]

The estimated value of the function at x=5 is

[tex]\text{Estimated value}=5(5)-2.5=22.5[/tex]

The point of the data is (5,26). It means the observed value at x=5 is 26.

The formula for residual is

Residual value = Observed value - Estimated value

[tex]Residual=26-22.5[/tex]

[tex]Residual=3.5[/tex]

Therefore, the correct option is C.

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