Suppose a doctor measures the height x and head circumferenc

Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.875 and the least squares regression line is y = 0.209x + 11.682. Complete parts (a) through (c) below. (a) Compute the coefficient of determination, R2. R2 = (Round to one decimal place as needed.) (b) Construct a residual plot to verify the requirements of the least-squares regression model. (c) Interpret the coefficient of determination and comment on the adequacy of the linear model. A. R^2 of the variation in head circumference is not explained by the least-squares regression equation. The linear model appears to be not appropriate, based on the residual plot. C. R^2 of the variation in head circumference is explained by the least-squares regression equation. The linear model appears to be appropriate, based on the residual plot. B. R^2 of the variation in head circumference is explained by the least-squares regression equation. The linear model appears to be not appropriate, based on the residual plot. D. R^2 of the variation in head circumference is not explained by the least-squares regression equation. The linear model appears to be appropriate, based on the residual plot.

Solution

Regression Analysis

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Regression Analysis

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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 0.875 and the leas

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