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C o p y r i g h t © 2 0 0 3 , N . A h b e l Residuals

Copyright © 2003, N. Ahbel Residuals. Copyright © 2003, N. Ahbel Predicted Actual Actual – Predicted = Error Source: ,

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Page 1: Copyright © 2003, N. Ahbel Residuals. Copyright © 2003, N. Ahbel Predicted Actual Actual – Predicted = Error Source: ,

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2003, N. A

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Residuals

Page 2: Copyright © 2003, N. Ahbel Residuals. Copyright © 2003, N. Ahbel Predicted Actual Actual – Predicted = Error Source: ,

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10

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Ma

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400 450 500 550 600 650 700 750Motorboat_Registrations_thousands

Manatee_deaths = 0.1249Motorboat_Registrations_thousands - 41.4; r^2 = 0.89

Manatees Scatter Plot

Predicted

Actual

Actual – Predicted = Error

Source: http://www.studyworksonline.com, 8/13/03

“Residual” in statistics is the same as “error”

Residual = Actual y – Predicted y

Page 3: Copyright © 2003, N. Ahbel Residuals. Copyright © 2003, N. Ahbel Predicted Actual Actual – Predicted = Error Source: ,

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2003, N. A

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10

15

20

25

30

35

40

45

50

55

Ma

na

tee

_d

ea

ths

400 450 500 550 600 650 700 750Motorboat_Registrations_thousands

Manatee_deaths = 0.1249Motorboat_Registrations_thousands - 41.4; r^2 = 0.89

Manatees Scatter Plot

Positive residual

Source: http://www.studyworksonline.com, 8/13/03

“Residual” in statistics is the same as “error”

Residual = Actual y – Predicted y

Page 4: Copyright © 2003, N. Ahbel Residuals. Copyright © 2003, N. Ahbel Predicted Actual Actual – Predicted = Error Source: ,

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2003, N. A

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10

15

20

25

30

35

40

45

50

55

Ma

na

tee

_d

ea

ths

400 450 500 550 600 650 700 750Motorboat_Registrations_thousands

Manatee_deaths = 0.1249Motorboat_Registrations_thousands - 41.4; r^2 = 0.89

Manatees Scatter Plot

Negative residual

Source: http://www.studyworksonline.com, 8/13/03

“Residual” in statistics is the same as “error”

Residual = Actual y – Predicted y

Page 5: Copyright © 2003, N. Ahbel Residuals. Copyright © 2003, N. Ahbel Predicted Actual Actual – Predicted = Error Source: ,

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Residual plot

Page 6: Copyright © 2003, N. Ahbel Residuals. Copyright © 2003, N. Ahbel Predicted Actual Actual – Predicted = Error Source: ,

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1-1 correspondence between every point on the scatterplot and the corresponding point on the residual plot

Page 7: Copyright © 2003, N. Ahbel Residuals. Copyright © 2003, N. Ahbel Predicted Actual Actual – Predicted = Error Source: ,

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Clear PatternNo Pattern

Residuals

Inappropriate Model Appropriate Model

Concave up or down

Increasing or decreasingToo high or low

Page 8: Copyright © 2003, N. Ahbel Residuals. Copyright © 2003, N. Ahbel Predicted Actual Actual – Predicted = Error Source: ,

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Pattern – Clear concave down patternConclusion - Not an appropriate model

Page 9: Copyright © 2003, N. Ahbel Residuals. Copyright © 2003, N. Ahbel Predicted Actual Actual – Predicted = Error Source: ,

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Pattern – No clear patternConclusion - Appropriate

Page 10: Copyright © 2003, N. Ahbel Residuals. Copyright © 2003, N. Ahbel Predicted Actual Actual – Predicted = Error Source: ,

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Pattern – No clear patternConclusion - appropriate model

Page 11: Copyright © 2003, N. Ahbel Residuals. Copyright © 2003, N. Ahbel Predicted Actual Actual – Predicted = Error Source: ,

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Residuals