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Answer :
To find the predicted weight of a male who is 180 cm tall using the given regression equation, you need to substitute the height (x = 180 cm) into the equation and solve for the predicted weight ([tex]\hat{y}[/tex]).
The regression equation provided is:
[tex]\hat{y} = -100 + 1.10x[/tex]
Substitute [tex]x = 180[/tex] into the equation:
[tex]\hat{y} = -100 + 1.10 \times 180[/tex]
Now, perform the multiplication:
[tex]1.10 \times 180 = 198[/tex]
Next, sum up the values:
[tex]\hat{y} = -100 + 198[/tex]
[tex]\hat{y} = 98[/tex]
Therefore, the predicted weight of a male who is 180 cm tall is 98 kg.
The correct answer from the provided choices is C. 98kg.
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