Math  /  Data & Statistics

QuestionHeights (cm)(\mathrm{cm}) and weights (kg)(\mathrm{kg}) are measured for 100 randomly selected adult males, and range from heights of 133 to 193 cm and weights of 41 to 150 kg . Let the predictor variable xx be the first variable given. The 100 paired measurements yield xˉ=167.34 cm,yˉ=81.41 kg,r=0.193,P\bar{x}=167.34 \mathrm{~cm}, \bar{y}=81.41 \mathrm{~kg}, \mathrm{r}=0.193, P-value =0.054=0.054, and y^=106+1.11x\hat{y}=-106+1.11 x. Find the best predicted value of y^\hat{y} (weight) given an adult male who is 184 cm tall. Use a 0.01 significance level.
Click the icon to view the critical values of the Pearson correlation coefficient r .
The best predicted value of y^\hat{y} for an adult male who is 184 cm tall is 81.41 kg . (Round to two decimal places as needed.)

Studdy Solution
The best predicted value of y^ \hat{y} for an adult male who is 184 cm tall is the mean of y y .
y^=81.41kg \hat{y} = 81.41 \, \text{kg}
The best predicted value of y^ \hat{y} is:
81.41kg \boxed{81.41 \, \text{kg}}

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