1. In a statistics course, a linear regression equation was computed to predict
the final exam score from the score on the first test. The equation was
yˆ=10+.9x
where
yˆ
is the final exam score and
x
is the score on the first test. If Shoshana
scored 95 on the first test, what is the predicted value of her score on the final
exam?
(a) 95
(b) 85.5
(c) 90
(d) 95.5
I have to show all work-so i can get credit
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OpenStudy (howard-wolowitz):
@Michele_Laino
OpenStudy (michele_laino):
I think that we have to replace \(x=95\) into your formula above
OpenStudy (howard-wolowitz):
to get the answer
OpenStudy (michele_laino):
yes!
OpenStudy (howard-wolowitz):
what about y
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OpenStudy (michele_laino):
here is the computation:
\(\hat y=10+ 0.9 \cdot 95=...?\)
OpenStudy (howard-wolowitz):
95.5
OpenStudy (michele_laino):
that's right!
OpenStudy (howard-wolowitz):
sweet
OpenStudy (michele_laino):
:)
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OpenStudy (howard-wolowitz):
2. Refer to problem #1. On the final exam Shoshana scores a 98. What is the
value of her residual?
(a) 98
(b) 2.5
(c) -2.5
(d) 0
im sorry but this problem is about the first one
OpenStudy (michele_laino):
The requested resiadual value is:
\(98-95.5=...?\)
OpenStudy (michele_laino):
oops..residual*
OpenStudy (howard-wolowitz):
2.5 = B
OpenStudy (michele_laino):
by definition, the residual value is given by the difference between the observed value and the corresponding predicted value
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