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minimum shoulder girth is 87 cm and the maximum shoulder girth is 134 cm. The mean shoulder girth is 108.87 cm with a standard deviation of 10.12 cm. The mean height is 173.86 cm with a standard deviation of 9.41 cm. The correlation between height and shoulder girth is 0.655. a) Write the equation of the regression line for predicting height. Slope (round 3 decimal places): Intercept (round to nearest whole number): b) Interpret the slope in this context. When height is 0 cm, the shoulder girth in cm is expected to be b O For each additional cm in shoulder girth, the model predicts an additional bị cm in height O When shoulder girth is 0 cm, the height in cm is expected to be b For each additional cm in beight the model predicts an additional bu cm in shoulder girth

minimum shoulder girth is 87 cm and the maximum shoulder girth is 134 cm. The mean shoulder girth is 108.87 cm with a standard deviation of 10.12 cm. The mean height is 173.86 cm with a standard deviation of 9.41 cm. The correlation between height and shoulder girth is 0.655. a) Write the equation of the regression line for predicting height. Slope (round 3 decimal places): Intercept (round to nearest whole number): b) Interpret the slope in this context. When height is 0 cm, the shoulder girth in cm is expected to be b O For each additional cm in shoulder girth, the model predicts an additional bị cm in height O When shoulder girth is 0 cm, the height in cm is expected to be b For each additional cm in beight the model predicts an additional bu cm in shoulder girth

MATLAB: An Introduction with Applications
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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Exercise 7.15 introduces data on shoulder girth and height of a group of individuals. In the data set, the minimum shoulder girth is 87 cm and the maximum shoulder girth is 134 cm. The mean shoulder girth is 108.87 cm with a standard deviation of 10.12 cm. The mean height is 173.86 cm with a standard deviation of 9.41 cm. The correlation between height and shoulder girth is 0.655. a) Write the equation of the regression line for predicting height. Slope (round 3 decimal places): Intercept (round to nearest whole number): b) Interpret the slope in this context. o When height is 0 cm, the shoulder girth in cm is expected to be b, For each additional cm in shoulder girth, the model predicts an additional b cm in height When shoulder girth is O cm, the height in cm is expected to be b O For each additional cm in height, the model predicts an additional bị cm in shoulder girth c) Calculate R? of the regression line for predicting height from shoulder girth. Round to three decimal places. Interpret R in the context of the application. About 100*(R )% of the variability in height is accounted for by the model, i.e. explained by the shoulder girth About 100°(R )% of data in shoulder girth is accounted for by the model, i.e. explained by height About 100*(R*)% of the variability in shoulder girth is accounted for by the model, i.e. explained by the height O About 100*(R )% of the data in height is accounted for by the model, i.e. explained by the shoulder girth d) A randomly selected student from your class has a shoulder girth of 106 cm. Predict the height of this student using the model. Round to the nearest whole number. e) The student from part (d) is 166 cm tall. Calculate the residual and round to the nearest whole number.
Transcribed Image Text:Exercise 7.15 introduces data on shoulder girth and height of a group of individuals. In the data set, the minimum shoulder girth is 87 cm and the maximum shoulder girth is 134 cm. The mean shoulder girth is 108.87 cm with a standard deviation of 10.12 cm. The mean height is 173.86 cm with a standard deviation of 9.41 cm. The correlation between height and shoulder girth is 0.655. a) Write the equation of the regression line for predicting height. Slope (round 3 decimal places): Intercept (round to nearest whole number): b) Interpret the slope in this context. o When height is 0 cm, the shoulder girth in cm is expected to be b, For each additional cm in shoulder girth, the model predicts an additional b cm in height When shoulder girth is O cm, the height in cm is expected to be b O For each additional cm in height, the model predicts an additional bị cm in shoulder girth c) Calculate R? of the regression line for predicting height from shoulder girth. Round to three decimal places. Interpret R in the context of the application. About 100*(R )% of the variability in height is accounted for by the model, i.e. explained by the shoulder girth About 100°(R )% of data in shoulder girth is accounted for by the model, i.e. explained by height About 100*(R*)% of the variability in shoulder girth is accounted for by the model, i.e. explained by the height O About 100*(R )% of the data in height is accounted for by the model, i.e. explained by the shoulder girth d) A randomly selected student from your class has a shoulder girth of 106 cm. Predict the height of this student using the model. Round to the nearest whole number. e) The student from part (d) is 166 cm tall. Calculate the residual and round to the nearest whole number.
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