A line of best fit predicts that when x equals 29, y will equal 27.745, but yactually equals 25. What is the residual in this case?A.-2.745B. 1.255C. 2.745D. -1.255

A line of best fit predicts that when x equals 29 y will equal 27745 but yactually equals 25 What is the residual in this caseA2745B 1255C 2745D 1255 class=

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Solution:

Given that a line of best fit predicts that when x equals 29, y will equal 27.745, but y

actually equals 25. This implies that

The residual for each observation is the difference between predicted values of y (dependent variable) and observed/measured values of y.

In other words, we have

[tex]Residual\text{ = Measured value of y - predicted value of y}[/tex]

Thus, we have

[tex]\begin{gathered} Residual\text{ = 25-27.745} \\ =-2.745 \end{gathered}[/tex]

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