Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient is 0.866 and the least squares regression line is y = 0.143x+ 13.465. Complete parts (a) and (b) below. 25 27.75 26.5 Height, x Head Circumference, y 17.3 17.0 17.2 17.1 17.4 17.3 17.1 17.4 17.4 17.4 17.3 27.25 25 26.5 26 26.75 26.75 27 27 (a) Compute the coefficient of determination, R2. R2 = % (Round to one decimal place as needed.) %3D (b) Interpret the coefficient of determination. Approximately % of the variation in V is explained by the least-squares regression model. (Round to one decimal place as needed.)

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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 0.866 and the least
squares regression line is y = 0.143x + 13.465. Complete parts (a) and (b) below.
Height, x
Head Circumference, y 17.3 17.0 17.2 17.1
27.25
25
26.5
25
27.75 26.5
26
26.75 26.75
27
27
17.4 17.3
17.1
17.4 17.4 17.4 17.3
(a) Compute the coefficient of determination, R?.
R2 = % (Round to one decimal place as needed.)
(b) Interpret the coefficient of determination.
Approximately
% of the variation in
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 0.866 and the least squares regression line is y = 0.143x + 13.465. Complete parts (a) and (b) below. Height, x Head Circumference, y 17.3 17.0 17.2 17.1 27.25 25 26.5 25 27.75 26.5 26 26.75 26.75 27 27 17.4 17.3 17.1 17.4 17.4 17.4 17.3 (a) Compute the coefficient of determination, R?. R2 = % (Round to one decimal place as needed.) (b) Interpret the coefficient of determination. Approximately % of the variation in is explained by the least-squares regression model. (Round to one decimal place as needed.)
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