5. Cancer is a disease caused by abnormal growth and proliferation of cells in the body. A model is constructed to predict whether a cancer is malignant (1) or benign (0) using uniformity in cell size (X1, score from 1 to 10) and uniformity in cell shape (X2, score from 1 to 10). The biopsy results of two hundred randomly selected patients from a certain hospital were used to construct the following model: = -5.07 +0.60X₁ +0.79X₂ In π(y=1) [1-n(y=1)] The confusion matrix for the constructed model is shown below: Outcome 0 (benign) 1 (malignant) Predicted Probability < 0.5 > 0.5 130 5 9 56 Suppose the test for the overall assessment of the model outputs a p- value of 0.0001, the conclusion at a = 0.05 is A. the predictors are not significant B. there is sufficient evidence to say that the model with predictors fits C. there is insufficient evidence to say that the model with predictors fits D. the model with predictors does not fit significantly

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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(O5) Helping tags: Statistics, Analysis of Relationships Among Variables, Logistic Regression Analysis, Linear Discriminant Analysis

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WILL UPVOTE, just pls help me answer the following questions in the attached image. Pls show complete solutions and explain them. Thank you!

5. Cancer is a disease caused by abnormal growth and proliferation of cells
in the body. A model is constructed to predict whether a cancer is
malignant (1) or benign (0) using uniformity in cell size (X1, score from 1
to 10) and uniformity in cell shape (X2, score from 1 to 10). The biopsy
results of two hundred randomly selected patients from a certain hospital
were used to construct the following model:
= -5.07 +0.60X₁+0.79X₂
π(y=1)
[1-n(y=1)]
In
The confusion matrix for the constructed model is shown below:
Outcome
0 (benign)
1 (malignant)
Predicted Probability
< 0.5
> 0.5
130
5
9
56
Suppose the test for the overall assessment of the model outputs a p-
value of 0.0001, the conclusion at a = 0.05 is
A. the predictors are not significant
B. there is sufficient evidence to say that the model with predictors fits
C. there is insufficient evidence to say that the model with predictors fits
D. the model with predictors does not fit significantly
Transcribed Image Text:5. Cancer is a disease caused by abnormal growth and proliferation of cells in the body. A model is constructed to predict whether a cancer is malignant (1) or benign (0) using uniformity in cell size (X1, score from 1 to 10) and uniformity in cell shape (X2, score from 1 to 10). The biopsy results of two hundred randomly selected patients from a certain hospital were used to construct the following model: = -5.07 +0.60X₁+0.79X₂ π(y=1) [1-n(y=1)] In The confusion matrix for the constructed model is shown below: Outcome 0 (benign) 1 (malignant) Predicted Probability < 0.5 > 0.5 130 5 9 56 Suppose the test for the overall assessment of the model outputs a p- value of 0.0001, the conclusion at a = 0.05 is A. the predictors are not significant B. there is sufficient evidence to say that the model with predictors fits C. there is insufficient evidence to say that the model with predictors fits D. the model with predictors does not fit significantly
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