A study is conducted to determine the height of a beetle is distinctively different among other insects. The researcher randomly selected 25 insects. Each insect was classified as either a beetle or other and the height (in inches) was measured. The data was recorded in "beetle_ex6.xlsx" inside the "beetle" tab. R Software output and Confusion Matrix > Logit Model Summary Coefficients: Estimate Std. Error z value Pr(>1z1) (Intercept) -6.41906 6.18612 -1.038 0.299 Height 0.08949 0.88927 1.002 0.316 > Wald's Test Model 1: Insect Height Model 2: Insect - 1 #Of Loglik Df Chisa Pr(Chisa) 12-16.624 2 1-17.148 -1 1.0483 > Confusion Matrix 0.3059 Insect (True value) 0 (Other) 1 (Beetle) Total Predicted Probability IS 0.5 (0) 10 7 17 =>0.5 4 00 8 T otal 4 4122 5 a) Construct the logistic regression model both in terms of probability and log odds. b) Interpret the coefficient of the model constructed in terms of odds. c) Calculate the sensitivity, specificity and accuracy of the model (# of correctly predicted number of samples *100)
A study is conducted to determine the height of a beetle is distinctively different among other insects. The researcher randomly selected 25 insects. Each insect was classified as either a beetle or other and the height (in inches) was measured. The data was recorded in "beetle_ex6.xlsx" inside the "beetle" tab. R Software output and Confusion Matrix > Logit Model Summary Coefficients: Estimate Std. Error z value Pr(>1z1) (Intercept) -6.41906 6.18612 -1.038 0.299 Height 0.08949 0.88927 1.002 0.316 > Wald's Test Model 1: Insect Height Model 2: Insect - 1 #Of Loglik Df Chisa Pr(Chisa) 12-16.624 2 1-17.148 -1 1.0483 > Confusion Matrix 0.3059 Insect (True value) 0 (Other) 1 (Beetle) Total Predicted Probability IS 0.5 (0) 10 7 17 =>0.5 4 00 8 T otal 4 4122 5 a) Construct the logistic regression model both in terms of probability and log odds. b) Interpret the coefficient of the model constructed in terms of odds. c) Calculate the sensitivity, specificity and accuracy of the model (# of correctly predicted number of samples *100)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 5PPS
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Transcribed Image Text:A study is conducted to determine the height of a beetle is distinctively different
among other insects. The researcher randomly selected 25 insects. Each insect
was classified as either a beetle or other and the height (in inches) was measured.
The data was recorded in "beetle_ex6.xlsx" inside the "beetle" tab.
R Software output and Confusion Matrix
> Logit Model Summary
Coefficients:
Estimate Std. Error z value Pr(>1z1)
(Intercept) -6.41906 6.18612 -1.038 0.299
Height 0.08949 0.08927 1.002 0.316
> Wald's Test
Model 1: Insect Height
Model 2: Insect - 1
#DF Loglik of Chisq Pr(>Chisa)
12-16.624
21-17.148 -1 1.0483 0.3059
> Confusion Matrix
Insect (True
value)
0 (Other)
1 (Beetle)
Total
Predicted
Probability
лз
0.5
(0)
10
7
17
> 0.5
(1)
8
T
-
otal
1
4
1
-255
1
2
5
a) Construct the logistic regression model both in terms of probability and log odds.
b) Interpret the coefficient of the model constructed in terms of odds.
c) Calculate the sensitivity, specificity and accuracy of the model (# of correctly
predicted/number of samples *100)
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