For numbers 2-7: Sea lice is a common parasite found among saltwater fish. Presence of the pests are said to be related to pollution in the bodies of water. A total of 50 random sample of fish from a certain bay was obtained. Each fish was analyzed whether an internal parasite (Y=1) was observed or not. Likewise, the amount of estrogenic compounds in the fish blood (X1, ppt) and the sex of the fish (X2, Male=1 and Female=0), using Female as base category, were recorded. Regression analysis was done and the model is given by (attached image): ln⁡[π(y=1)/1−π(y=1)]=−1.3+0.34X1+1.51X2   Macbee wants to validate the model above. He observed 30 random sample of fish from the same bay. He came up with a confusion matrix below. Outcome Predicted Probability < 0.5 > 0.5 0 (with parasite) 1 2 1 (without parasite) 2 25 The accuracy of MacBee’s model is ____%.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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For numbers 2-7: Sea lice is a common parasite found among saltwater fish. Presence of the pests are said to be related to pollution in the bodies of water. A total of 50 random sample of fish from a certain bay was obtained. Each fish was analyzed whether an internal parasite (Y=1) was observed or not. Likewise, the amount of estrogenic compounds in the fish blood (X1, ppt) and the sex of the fish (X2, Male=1 and Female=0), using Female as base category, were recorded. Regression analysis was done and the model is given by (attached image):

ln⁡[π(y=1)/1−π(y=1)]=−1.3+0.34X1+1.51X2

 

Macbee wants to validate the model above. He observed 30 random sample of fish from the same bay. He came up with a confusion matrix below.

Outcome

Predicted Probability

< 0.5

> 0.5

0 (with parasite)

1

2

1 (without parasite)

2

25

The accuracy of MacBee’s model is ____%.

In
T(y=1)
1-π(y=1)
=
−1.3 +0.34X₁ + 1.51X₂
Transcribed Image Text:In T(y=1) 1-π(y=1) = −1.3 +0.34X₁ + 1.51X₂
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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