Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 193 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x= 167.93 cm, y = 81.47 kg, r= 0.216, P-value = 0.031, and y = - 102 + 1.07x. Find the best predicted value of y (weight) given an adult male who is 149 cm tall. Use a 0.01 significance level. The best predicted value of y for an adult male who is 149 cm tall is kg. (Round to two decimal places as needed.)
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 193 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x= 167.93 cm, y = 81.47 kg, r= 0.216, P-value = 0.031, and y = - 102 + 1.07x. Find the best predicted value of y (weight) given an adult male who is 149 cm tall. Use a 0.01 significance level. The best predicted value of y for an adult male who is 149 cm tall is kg. (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Measurement of Heights and Weights in Adult Males**
A study was conducted on 100 randomly selected adult males, focusing on their heights (in centimeters, ranging from 138 to 193 cm) and weights (in kilograms, ranging from 40 to 150 kg). The goal was to identify a correlation between height and weight, using height as the predictor variable (x).
**Data Summary:**
- Mean height (\(\bar{x}\)): 167.93 cm
- Mean weight (\(\bar{y}\)): 81.47 kg
- Correlation coefficient (r): 0.216
- P-value: 0.031
- Regression equation: \(\hat{y} = -102 + 1.07x\)
**Objective:**
To find the best predicted value of \(\hat{y}\) (weight) for an adult male who is 149 cm tall, with a significance level of 0.01.
**Calculation Instructions:**
To predict the weight for a height of 149 cm, substitute the height into the regression equation:
\[
\hat{y} = -102 + 1.07(149)
\]
Round the result to two decimal places to provide the best predicted weight value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22c22731-3858-419d-b4a1-f1d81ff5f2b6%2F571d2237-7f1d-4df8-b69c-e1614feeb403%2Flro45k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Measurement of Heights and Weights in Adult Males**
A study was conducted on 100 randomly selected adult males, focusing on their heights (in centimeters, ranging from 138 to 193 cm) and weights (in kilograms, ranging from 40 to 150 kg). The goal was to identify a correlation between height and weight, using height as the predictor variable (x).
**Data Summary:**
- Mean height (\(\bar{x}\)): 167.93 cm
- Mean weight (\(\bar{y}\)): 81.47 kg
- Correlation coefficient (r): 0.216
- P-value: 0.031
- Regression equation: \(\hat{y} = -102 + 1.07x\)
**Objective:**
To find the best predicted value of \(\hat{y}\) (weight) for an adult male who is 149 cm tall, with a significance level of 0.01.
**Calculation Instructions:**
To predict the weight for a height of 149 cm, substitute the height into the regression equation:
\[
\hat{y} = -102 + 1.07(149)
\]
Round the result to two decimal places to provide the best predicted weight value.
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