Olympic figure skating for many people the womens figure

Question

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.