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.28 Here is a scatterplot with least-squares regression line ŷ = −16.2+2.07x. For this model, s = 10.2 and r² = 0.736.

a. Calculate and interpret the residual for the 2010 gold medal winner Yu-Na Kim, who scored 78.50 in the short program and 150.06 in the free skate.

b. Interpret the slope of the least-squares regression line.

c. Interpret the value of s.

d. Interpret the value of r².

Transcribed Image Text:

160 140 120 100 80 60 45 50 55 60 65 70 75 80 Short program score Free skate score