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Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.879 and the least squares regression line is y=0.216x +11.540 Complete parts (a) and (b) below Height, x 27.75 24.5 26.75 25.75 27.75 26 25 25.75 26.75 27 26.75 27 D Head Circumference, y 17.6 16.9 17.1 16.9 17.5 172 172 174 17.4 174 174 (a) Compute the coefficient of determination, R2 R²=% (Round to one decimal place as needed.). (b) Interpret the coefficient of determination and comment on the adequacy of the linear model Approximately % of the variation in is explained by the least-squares regression model. According to the residual plot, the linear model appears to be (Round to one decimal place as needed)

Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.879 and the least squares regression line is y=0.216x +11.540 Complete parts (a) and (b) below Height, x 27.75 24.5 26.75 25.75 27.75 26 25 25.75 26.75 27 26.75 27 D Head Circumference, y 17.6 16.9 17.1 16.9 17.5 172 172 174 17.4 174 174 (a) Compute the coefficient of determination, R2 R²=% (Round to one decimal place as needed.). (b) Interpret the coefficient of determination and comment on the adequacy of the linear model Approximately % of the variation in is explained by the least-squares regression model. According to the residual plot, the linear model appears to be (Round to one decimal place as needed)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.879 and the least squares regression line is y=0.216x +11.540. Complete parts (a) and (b) below. Height, x 27.75 24.5 26.75 25.75 27.75 26 25 25.75 26.75 27 26.75 27 D Head Circumference, y 17.6 16.9 17.1 16.9 17.5 17.2 17.2 17.4 17.4 17.4 17.4 (a) Compute the coefficient of determination, R2 R²=% (Round to one decimal place as needed.) (b) Interpret the coefficient of determination and comment on the adequacy of the linear model. Approximately % of the variation in is explained by the least-squares regression model. According to the residual plot, the linear model appears to be (Round to one decimal place as needed.) D O E # Type here to search liji Pun 64°F Cloudy prt sc delete
Transcribed Image Text:Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.879 and the least squares regression line is y=0.216x +11.540. Complete parts (a) and (b) below. Height, x 27.75 24.5 26.75 25.75 27.75 26 25 25.75 26.75 27 26.75 27 D Head Circumference, y 17.6 16.9 17.1 16.9 17.5 17.2 17.2 17.4 17.4 17.4 17.4 (a) Compute the coefficient of determination, R2 R²=% (Round to one decimal place as needed.) (b) Interpret the coefficient of determination and comment on the adequacy of the linear model. Approximately % of the variation in is explained by the least-squares regression model. According to the residual plot, the linear model appears to be (Round to one decimal place as needed.) D O E # Type here to search liji Pun 64°F Cloudy prt sc delete
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