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Sagot :
Given,
The line of best fit for a set of data points with the equation
[tex]y=5x-2.5[/tex]To find: What is the residual for the point (3, 6)?
Solution:
The residual is the difference between the predicted value and the real value. Using the equation, we find the value of y using the given value of x.
[tex]\begin{gathered} y=-2.5+5x \\ y=-2.5+(5\times3) \\ y=-2.5+15 \\ y=12.5 \end{gathered}[/tex]The difference between this value and the given value of y is 12.5 - 6 = 6.5
Thus, the residual is equal to 6.5
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