Howard-Wolowitz
  • Howard-Wolowitz
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
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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Howard-Wolowitz
  • Howard-Wolowitz
@Michele_Laino
Michele_Laino
  • Michele_Laino
I think that we have to replace \(x=95\) into your formula above
Howard-Wolowitz
  • Howard-Wolowitz
to get the answer

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Michele_Laino
  • Michele_Laino
yes!
Howard-Wolowitz
  • Howard-Wolowitz
what about y
Michele_Laino
  • Michele_Laino
here is the computation: \(\hat y=10+ 0.9 \cdot 95=...?\)
Howard-Wolowitz
  • Howard-Wolowitz
95.5
Michele_Laino
  • Michele_Laino
that's right!
Howard-Wolowitz
  • Howard-Wolowitz
sweet
Michele_Laino
  • Michele_Laino
:)
Howard-Wolowitz
  • 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
Michele_Laino
  • Michele_Laino
The requested resiadual value is: \(98-95.5=...?\)
Michele_Laino
  • Michele_Laino
oops..residual*
Howard-Wolowitz
  • Howard-Wolowitz
2.5 = B
Michele_Laino
  • Michele_Laino
by definition, the residual value is given by the difference between the observed value and the corresponding predicted value
Michele_Laino
  • Michele_Laino
that's right!

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