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A student uses the given set of data to compute a least‑squares regression line and a...

A student uses the given set of data to compute a least‑squares regression line and a correlation coefficient: ? 0.7 0.8 1.7 1.7 1.3 2.6 8.0 ? 1 2 2 1 0 1 5 The student claims that the regression line does an excellent job of explaining the relationship between the explanatory variable ? and the response variable ? . Is the student correct?

a. Yes, because ?2=0.74 means that 74% of the variation in ? is explained by the least‑squares regression of ? on ? . b. No, because the outlier is inflating the correlation coefficient. c. Yes, because the correlation coefficient is ?=0.86 , which is close to 1. d. No, because the slope of the regression line is only 0.54.

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orchestra answered 1 year ago
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