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2) For certain data set the regression equation is y = 29x - 5. The correlation coefficient between y and x in this data set is _____.

1 Answer

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Final answer:

The correlation coefficient between y and x can be calculated by squaring the correlation coefficient, r. In this case, the regression equation is y = 29x - 5. The coefficient of determination, r², is the square of the correlation coefficient, so in this case, it would be (29)² = 841.

Step-by-step explanation:

The correlation coefficient between y and x can be calculated by squaring the correlation coefficient, r. In this case, the regression equation is y = 29x - 5. Since the correlation coefficient, r, is not given, we can't determine its exact value. However, we can use the coefficient of determination, r², to find the percentage of variation in y that can be explained by the variation in x. The coefficient of determination, r², is the square of the correlation coefficient, so in this case, it would be (29)² = 841. This means that approximately 84.1% of the variation in y can be explained by the variation in x.

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