A set of data points has an equation of = -1.5 + 2.5x.
What is the residual for the point (5, 12)?
A. 1
B. -1
C. 11
D. 12
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jimthompson5910 (jim_thompson5910):
when you plug x = 5 into -1.5 + 2.5x, what do you get?
OpenStudy (anonymous):
@jim_thompson5910 When i id it befor it didnt work and said it was wrong
OpenStudy (anonymous):
did*
jimthompson5910 (jim_thompson5910):
what result did you get
OpenStudy (anonymous):
11
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OpenStudy (anonymous):
C
jimthompson5910 (jim_thompson5910):
the point given is (5,12)
the observed y value is 12
the predicted y value you got is y-hat = 11
jimthompson5910 (jim_thompson5910):
\[\LARGE \text{residual} = (\text{observed y}) - (\text{predicted y})\]
\[\LARGE \text{residual} = (y) - (\hat{y})\]
\[\LARGE \text{residual} = (12) - (11)\]
I'm sure you see how to finish up here
OpenStudy (anonymous):
So it is 1
OpenStudy (anonymous):
the Large text is weird looking
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jimthompson5910 (jim_thompson5910):
yes the difference between what reality is and what the predicted value is