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LenaWriter [7]
2 years ago
11

A linear regression is done on data the line of best fit is y= 1.25x-6.25. What is the residual for the point (1,1)?

Mathematics
1 answer:
Damm [24]2 years ago
6 0

Answer:

6

Step-by-step explanation:

Find the predicted y value when x=1:

\hat{y}=1.25x-6.25\\\hat{y}=1.25(1)-6.25\\\hat{y}=1.25-6.25\\\hat{y}=-5

Find the residual:

\text{Residual}=\text{Actual Value}-\text{Predicted Value}\\\text{Residual}=y-\hat{y}\\\text{Residual}=1-(-5)\\\text{Residual}=1+5\\\text{Residual}=6

Because our residual is positive, this is an indicator that our predicted y value is too low.

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