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Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient 0.844 and the least squares regression line is y = 0.122x + 14.043. Complete parts (a) and (b) below. Height, x Head Circumference, y 17.3 17.1 17.3 17.1 17.5 17.4 17.1 17.4 17.3 17.3 17.3 27.5 25 26 25.25 27.75 26.5 25.75 27.25 26.75 26.75 27.25 ...... (a) Compute the coefficient of determination, R2.

Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient 0.844 and the least squares regression line is y = 0.122x + 14.043. Complete parts (a) and (b) below. Height, x Head Circumference, y 17.3 17.1 17.3 17.1 17.5 17.4 17.1 17.4 17.3 17.3 17.3 27.5 25 26 25.25 27.75 26.5 25.75 27.25 26.75 26.75 27.25 ...... (a) Compute the coefficient of determination, R2.

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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Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient is 0.844 and the least squares regression line is y = 0.122x+ 14.043. Complete parts (a) and (b) below. Height, x Head Circumference, y 17.3 17.1 17.3 17.1 27.5 25 26 25.25 27.75 26.5 25.75 27.25 26.75 26.75 27.25 17.5 17.4 17.1 17.4 17.3 17.3 17.3 .... (a) Compute the coefficient of determination, R2. R? = 71.3 % (Round to one decimal place as needed.) (b) Interpret the coefficient of determination. Approximately 71.23 % of the variation in head circumference is explained by the least-squares regression model. (Round to one decimal place as needed.)
Transcribed Image Text:Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient is 0.844 and the least squares regression line is y = 0.122x+ 14.043. Complete parts (a) and (b) below. Height, x Head Circumference, y 17.3 17.1 17.3 17.1 27.5 25 26 25.25 27.75 26.5 25.75 27.25 26.75 26.75 27.25 17.5 17.4 17.1 17.4 17.3 17.3 17.3 .... (a) Compute the coefficient of determination, R2. R? = 71.3 % (Round to one decimal place as needed.) (b) Interpret the coefficient of determination. Approximately 71.23 % of the variation in head circumference is explained by the least-squares regression model. (Round to one decimal place as needed.)
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