Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 135 to 192 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x= 167.80 cm, y = 81.47 kg, r= 0.141, P-value = 0.162, and y = - 105 + 1.18x. Find the best predicted value of y (weight) given an adult male who is 176 cm tall. Use a 0.10 significance level. The best predicted value of y for an adult male who is 176 cm tall is kg. (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, with heights ranging from 135 to 192 cm and weights from 40 to 150 kg. Let the predictor variable \( x \) be the first variable given. The 100 paired measurements yield the following statistics:**

- Mean height (\(\bar{x}\)) = 167.80 cm
- Mean weight (\(\bar{y}\)) = 81.47 kg
- Correlation coefficient (r) = 0.141
- P-value = 0.162

The regression equation is given by:

\[ \hat{y} = -105 + 1.18x \]

**Task:** Find the best predicted value of \(\hat{y}\) (weight) for an adult male who is 176 cm tall. Use a 0.10 significance level.

**Note:** Round to two decimal places as needed.
Transcribed Image Text:**Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, with heights ranging from 135 to 192 cm and weights from 40 to 150 kg. Let the predictor variable \( x \) be the first variable given. The 100 paired measurements yield the following statistics:** - Mean height (\(\bar{x}\)) = 167.80 cm - Mean weight (\(\bar{y}\)) = 81.47 kg - Correlation coefficient (r) = 0.141 - P-value = 0.162 The regression equation is given by: \[ \hat{y} = -105 + 1.18x \] **Task:** Find the best predicted value of \(\hat{y}\) (weight) for an adult male who is 176 cm tall. Use a 0.10 significance level. **Note:** Round to two decimal places as needed.
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