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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

User Yifu Yan
by
7.8k points

2 Answers

5 votes
the answer i got was - 3.5

User Philipp Spiess
by
7.8k points
4 votes

Answer:

The correct option is C.

Explanation:

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


y=5x-2.5

The estimated value of the function at x=5 is


\text{Estimated value}=5(5)-2.5=22.5

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


Residual=26-22.5


Residual=3.5

Therefore, the correct option is C.

User Minha
by
8.4k points

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