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Co
pyrig
ht ©
2003, N. A
hb
el
Residuals
Co
pyrig
ht ©
2003, N. A
hb
el
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
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
Co
pyrig
ht ©
2003, N. A
hb
el
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
Co
pyrig
ht ©
2003, N. A
hb
el
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
Co
pyrig
ht ©
2003, N. A
hb
el
Residual plot
Co
pyrig
ht ©
2003, N. A
hb
el
1-1 correspondence between every point on the scatterplot and the corresponding point on the residual plot
Co
pyrig
ht ©
2003, N. A
hb
el
Clear PatternNo Pattern
Residuals
Inappropriate Model Appropriate Model
Concave up or down
Increasing or decreasingToo high or low
Co
pyrig
ht ©
2003, N. A
hb
el
Pattern – Clear concave down patternConclusion - Not an appropriate model
Co
pyrig
ht ©
2003, N. A
hb
el
Pattern – No clear patternConclusion - Appropriate
Co
pyrig
ht ©
2003, N. A
hb
el
Pattern – No clear patternConclusion - appropriate model
Co
pyrig
ht ©
2003, N. A
hb
el
Residuals