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Answer :
The best predicted value of [tex]\hat{y}[/tex] for an adult male who is 172 cm tall is 89.36 kg.
Given the information, we need to find the best predicted value of [tex]\hat{y}\)[/tex] (weight) for an adult male who is 172 cm tall using the regression equation [tex]\hat{y}[/tex] = -105 + 1.13x.
- The regression equation provided is:
[tex]\hat{y}[/tex] = -105 + 1.13x
We are asked to find [tex]\hat{y}[/tex] for x = 172 cm.
- Substitute x = 172 into the regression equation:
[tex]\hat{y}[/tex] = -105 + 1.13 (172)
- Perform the calculation:
[tex]\hat{y}[/tex] = -105 + 1.13 × 172
[tex]\hat{y}[/tex] = -105 + 194.36
[tex]\hat{y}[/tex] = 89.36
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