Concept explainers
To find: the variation fraction is explained by the least-squares regression of y on x
Answer to Problem 3PT
The variation fraction is explained by the least-squares regression of y on xis the square of the
Explanation of Solution
Given:
(a) the
(b) the slope of the least-squares regression line.
(c) the square of the correlation coefficient.
(d) the intercept of the least-squares regression line.
(e) the residual.
By definition, the coefficient of determination
Hence, the fraction of the variation in the values of Y that is explained by the least squares regression line of Y on X is the square of the correlation coefficient.
Conclusion:
Therefore, option (c) is the correct one.
Chapter 3 Solutions
The Practice of Statistics for AP - 4th Edition
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