# Question

The Web site that contained the American black bear data listed in Problem 28 actually had a bear whose height is 141.0 cm and weight is 100 kg incorrectly listed as 41.0 cm tall.

Total Length (cm) ..... Weight (kg)

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

(a) Redraw the scatter diagram with the incorrect entry.

(b) Recompute the linear correlation coefﬁcient using the data with the incorrect entry.

(c) Explain how the scatter diagram can be used to identify incorrectly entered data values. Explain how the incorrectly entered data value affects the correlation coefﬁcient.

Total Length (cm) ..... Weight (kg)

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

(a) Redraw the scatter diagram with the incorrect entry.

(b) Recompute the linear correlation coefﬁcient using the data with the incorrect entry.

(c) Explain how the scatter diagram can be used to identify incorrectly entered data values. Explain how the incorrectly entered data value affects the correlation coefﬁcient.

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