The relationship between rainfall and the probability of flooding is given by the logistic regression p = 1 1+e-(a+br) Use the following data and regression method with a confidence level of 95% to select all true expressions about the model. r= Rainfall (mm) 200 250 280 300 325 350 380 400 p= Probability of flooding 0.02 0.09 0.12 0.3 0.4 0.7 0.9 0.93 Select one or more: O 1. The correlation of p and r is a strong negative correlation. 2. The estimation of p at r=360 is 0.78 3. The maximum error for the data happens at r=325 4. a 10.8431 and b = -0.0337 5. R-squared=0.99

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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The relationship between rainfall and the probability of flooding
is given by the logistic regression p =
1
1+e-(a+br)
Use the
following data and regression method with a confidence level
of 95% to select all true expressions about the model.
r=
Rainfall (mm)
200
250
280
300
325
350
380
400
p=
Probability of
flooding
0.02
0.09
0.12
0.3
0.4
0.7
0.9
0.93
Select one or more:
O 1. The correlation of p and r is a strong negative
correlation.
2. The estimation of p at r=360 is 0.78
3. The maximum error for the data happens at r=325
4. a = 10.8431 and b = -0.0337
5. R-squared=0.99
Transcribed Image Text:The relationship between rainfall and the probability of flooding is given by the logistic regression p = 1 1+e-(a+br) Use the following data and regression method with a confidence level of 95% to select all true expressions about the model. r= Rainfall (mm) 200 250 280 300 325 350 380 400 p= Probability of flooding 0.02 0.09 0.12 0.3 0.4 0.7 0.9 0.93 Select one or more: O 1. The correlation of p and r is a strong negative correlation. 2. The estimation of p at r=360 is 0.78 3. The maximum error for the data happens at r=325 4. a = 10.8431 and b = -0.0337 5. R-squared=0.99
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