A paper company has about 50 paper mills distributed over 3 provinces. Each mill records specified factors that contribute to its profitability. The company has classified the mills as Profitable and Non- Profitable. They recorded paper weight produced as an indicator of profitability. That is, X₁ = PAPER (weight in 10000 kilograms) Y = PROF (1 = profitable and 0 = not profitable) Y Profitable 1 1 Paper 2 1.5
A paper company has about 50 paper mills distributed over 3 provinces. Each mill records specified factors that contribute to its profitability. The company has classified the mills as Profitable and Non- Profitable. They recorded paper weight produced as an indicator of profitability. That is, X₁ = PAPER (weight in 10000 kilograms) Y = PROF (1 = profitable and 0 = not profitable) Y Profitable 1 1 Paper 2 1.5
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
Section: Chapter Questions
Problem 8A: What does a G01 tell a machine to perform?
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Question

Transcribed Image Text:A paper company has about 50 paper mills distributed over 3 provinces. Each mill records specified
factors that contribute to its profitability. The company has classified the mills as Profitable and Non-
Profitable. They recorded paper weight produced as an indicator of profitability. That is,
X₁ = PAPER (weight in 10000 kilograms)
Y = PROF (1 = profitable and 0 = not profitable)
Y Profitable
1
1
0
It was found that
Paper
2
1.5
0.8
ît=
exp(-2.94 + 0.098X₁)
1 + exp(-2.94 +0.098X₁)
1. Give the fitted logistic response function.
2. Give the fitted logit response function
3. Show that
ft
loge € (₁^²) = = -2.94 + 0.098X₁
4. Give the odds to be used of this logistic regression for X₁ = 0.7. Explain your result.
5. What is the estimated probability that a mill be profitable if it produces 7 000 kilograms of paper?
7. Interpret the regression coefficients of
ît=
Also find the odds ratio for b₁.
exp(-2.94 + 0.098X₁)
1 + exp(-2.94 +0.098X₁)
Expert Solution

Step 1
From the given information, y is the predicted variable and x is the predictor variable.
The general logistic curve is of the form
----------(I)
Here, is the intercept and is the slope
Step by step
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