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Question: Olympic figure skating For many people, the women's figure skating competition is the highlight of the Olympic Winter Games. Scores in the short program x and scores in the free skate y were recorded for each of the 24 skaters who competed in both rounds during the 2010 Winter Olympics in Vancouver, Canada. A regression analysis was performed using these data. The scatterplot and residual plot follow. The equation of the least-squares regression line is y^ = -16.2 + 2.07x. Also, s = 10.2 and r2 = 0.736
(a) Calculate and interpret the residual for the gold medal winner, Yu-Na Kim, who scored 78.50 in the short program and 150.06 in the free skate.
(b) Is a linear model appropriate for these data? Explain.
(c) Interpret the value of s.
(d) Interpret the value of r2.
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