# Question

Suppose that we ﬁnd a bear that is 205 cm tall and weighs 187 kg and add the bear to the data in Problem 20 from Section 4.2.

Total Length (cm), x ..... Weight (kg), y

139.0 ............ 110

138.0 ............ 60

139.0 ............ 90

120.5 ............ 60

149.0 ............ 85

141.0 ............ 100

141.0 ............ 95

150.0 ............ 85

166.0 ............ 155

151.5 ............ 140

129.5 ............ 105

150.0 ............ 110

Compute the coefﬁcient of determination of the expanded data set. What effect does the additional bear have on R2?

Total Length (cm), x ..... Weight (kg), y

139.0 ............ 110

138.0 ............ 60

139.0 ............ 90

120.5 ............ 60

149.0 ............ 85

141.0 ............ 100

141.0 ............ 95

150.0 ............ 85

166.0 ............ 155

151.5 ............ 140

129.5 ............ 105

150.0 ............ 110

Compute the coefﬁcient of determination of the expanded data set. What effect does the additional bear have on R2?

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