The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is the A) correlation coefficient. B) square of the correlation coefficient. C) slope of the least-squares regression line. D) intercept of the least-squares regression line. Which of the following is correct? The mean of the residuals from least-squares regression is 0. The square of the correlation is the proportion of the data lying on the least-squares regression line. The correlation r is the slope of the least-squares regression line. The square of the correlation is the slope of the least-squares regression line.
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Step 1: The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is the square of the correlation coefficient, denoted by R^2. Show more…
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The fraction of the variation in the values of y that is explained by the least squares regression of y on x is a) the coefficient of determination b) the correlation coefficient c) the slope of the least-squares regression line d) the intercept of the least-squares regression line
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The fraction of variation in the values of a response y that can be explained by the least-squares regression line is the square of the correlation coefficient the correlation coefficient the slope of the least-squares regression line the intercept of the least-squares regression line
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