Suppose a doctor measures the height, \( x \), and head circumference, \( y \), of 8 children and obtains the data below. The correlation coefficient is 0.780 and the least squares regression line is \( \hat{y} = 0.169x + 12.739 \). Complete parts a and b below.| Height, \( x \) | Head Circumference, \( y \) ||-----------------|-----------------------------|| 27.00 | 17.4 || 25.75 | 17.1 || 26.75 | 17.1 || 25.50 | 17.1 || 27.75 | 17.5 || 26.75 | 17.1 || 26.25 | 17.2 || 27.00 | 17.3 |(a) Compute the coefficient of determination, \( R^2 \).\[ R^2 = \square \% \] (Round to one decimal place as needed.)

Answered: Suppose a doctor measures the height,…

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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The coefficient of correlation in a simple regression analysis is = -0.6. The coefficient of determination for this regression would be 0.36 - 0.36 0.6 0.13 O 0.6 or + 0.6
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o pis pe Suppose a doctor measures the height, x, and head circumference, y. of 11 children and obtains the data below. The correlation coefficient is 0.899 and the least squares regression line is y = 0.185x+ 12.276. Complete parts (a) and (b) below. Height, x Head Circumference, y 17.4 17.1 17.2 16.9 17.4 17.1 17.1 17.3 17.3 17.3 17.4 27.75 25.75 26.75 25.75 28 26.5 25.75 26.75 27 27.25 27.25 (a) Compute the coefficient of determination, R?. R2 = % (Round to one decimal place as needed) (b) Interpret the coefficient of determination k Approximately % of the variation in (Round to one decimal place as needed.) is explained by the least-squares regression model. Enter your answer in each of the answer boxes. Save for Later DUE RTTT:DY PIVT Score: o:5SYO Tor Tv attempts 3:35 PA- a 2/22/202 Type here to search insert prt sc 4+ backsp %23 6. 8.
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