Estimating the Conditional Probabilities Essay
Order ID:89JHGSJE83839 Style:APA/MLA/Harvard/Chicago Pages:5-10 Instructions:
Estimating the Conditional Probabilities Essay
Instructions
You must make your own calculations and you must show your calculations in the answer document. Insufficient calculation steps will result in reduced points earned.
Imbalanced Classifiers
- Begin by writing the formula for each calculation, then show your steps to arrive at your answer.
- Calculate Accuracy
- Precision
- Recall
- F- Measure
- Begin by writing the formula for each calculation, then show your steps to arrive at your answer.
- Calculate Accuracy
- Precision
- Recall
- F- Measure
Bayes Theorem
- (a) Suppose the fraction of undergraduate students who smoke is 15% and
the fraction of graduate students who smoke is 23%. If one-fifth of the college students are graduate students and the rest are undergraduates, what is the probability that a student who smokes is a graduate student?
Answer
(b) Given the information in part (a), is a randomly chosen college student
more likely to be a graduate or undergraduate student?
Answer
(c) Repeat part (b) assuming that the student is a smoker.
Answer:
(d) Suppose 30% of the graduate students live in a dorm but only 10% of
the undergraduate students live in a dorm. If a student smokes and lives in the dorm, is he or she more likely to be a graduate or undergraduate student? You can assume independence between students who live in a dorm and those who smoke.
Answer:
Bayes Theorem
- Consider the data set below.
- a) Estimate the conditional probabilities for (P(A|+), P(B|+), P(C|+), P(A|-). P(B|-), P(C|-)
(b) Use the estimate of conditional probabilities given in the previous question to predict the class label for a test sample (A =0, B =1, C =0) using the naïve Bayes approach.
- Consider a binary classification problem with the following set of attributes and attribute values:
- Air Conditioner = {Working, Broken}
- Engine = {Good, Bad}
- Mileage = {High, Medium, Low}
- Rust = {Yes, No}
Suppose a rule-based classifier produces the following rule set:
(a) Are the rules mutually exclusive?
Answer:
(b) Is the rule set exhaustive?
Answer:
(c) Is ordering needed for this set of rules?
Answer:
(d) Do you need a default class for the rule set?
Answer:
- Consider a training set that contains 100 positive examples and 400 negative examples. For each of the following candidate rules.
R1: A -→ + (covers 4 positive and 1 negative examples)
R2: B -→ + (covers 30 positive and 10 negative examples)
R3: C -→ + (covers 100 positive and 90 negative examples)
Note: The rules do not cover the entire training set. This is not an exhaustive rule set.
- Determine which is the best and worst candidate rule according to Rule accuracy.
Answer:
- Determine which is the best and worst candidate rule according to FOIL’s information gain.
Review of FOIL’s Information Gain
R0: {} => class (initial rule)
R1: {A} => class (rule after adding conjunct)
Gain(R0, R1) = t [ log (p1/(p1+n1)) – log (p0/(p0 + n0)) ]
where… t (total) number of positive instances covered by both R0 and R1
p0 number of positive instances covered by R0
n0 number of negative instances covered by R0
p1 number of positive instances covered by R1
n1 number of negative instances covered by R1
Answer:
- Consider the one-dimensional data set shown below.
Data set for Exercise 3.
x 0.5 3.0 4.5 4.6 4.9 5.2 5.3 5.5 7.0 9.5 y – 1st y – 2nd y – 3rd y – 4th
- Place the indicated symbol ( + or – ) into each cell for the purpose of classifying the data point x =5.0 according to its 1-, 3-, 5-, and 9-nearest neighbors (using majority vote).
Answer:
Number of data points symbol to be used/inserted into y row
1st Row 1-nearest neighbor +
2nd Row 3-nearest neighbor –
3rd Row 5-nearest neighbor +
4th Row 9-nearest neighbor –
Estimating the Conditional Probabilities Essay
RUBRIC
Excellent Quality
95-100%
Introduction 45-41 points
The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.
Literature Support
91-84 points
The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.
Methodology
58-53 points
Content is well-organized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met.
Average Score
50-85%
40-38 points
More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided.
83-76 points
Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration.
52-49 points
Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met.
Poor Quality
0-45%
37-1 points
The background and/or significance are missing. No search history information is provided.
75-1 points
Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration.
48-1 points
There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met
You Can Also Place the Order at www.collegepaper.us/orders/ordernow or www.crucialessay.com/orders/ordernow Analyze the Water Footprint Results