Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 190 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.72 cm, y = 81.45 kg, r=0.229, P-value = 0.022, and y 103 +1.02x. Find the best predicted value of y (weight) given an adult male who is 170 cm tall. Use a 0.05 significance level. == A

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 190 cm and weights of 40 to 150 kg. Let the predictor variable \( x \) be the first variable given. The 100 paired measurements yield \(\overline{x} = 167.72\) cm, \(\overline{y} = 81.45\) kg, \( r = 0.229 \), P-value = 0.022, and \(\hat{y} = -103 + 1.02x\). Find the best predicted value of \(\hat{y}\) (weight) given an adult male who is 170 cm tall. Use a 0.05 significance level. Click the icon to view the critical values of the Pearson correlation coefficient \( r \).

---

The best predicted value of \(\hat{y}\) for an adult male who is 170 cm tall is \(\_\_\_\) kg. 

(Round to two decimal places as needed.)
Transcribed Image Text:Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 190 cm and weights of 40 to 150 kg. Let the predictor variable \( x \) be the first variable given. The 100 paired measurements yield \(\overline{x} = 167.72\) cm, \(\overline{y} = 81.45\) kg, \( r = 0.229 \), P-value = 0.022, and \(\hat{y} = -103 + 1.02x\). Find the best predicted value of \(\hat{y}\) (weight) given an adult male who is 170 cm tall. Use a 0.05 significance level. Click the icon to view the critical values of the Pearson correlation coefficient \( r \). --- The best predicted value of \(\hat{y}\) for an adult male who is 170 cm tall is \(\_\_\_\) kg. (Round to two decimal places as needed.)
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