The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature. States of Nature Decision Alternative d₁ 260 110 35 d₂ 110 110 85 (a) Construct a decision tree for this problem. Decision Tree 1 Description
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- The following decision tree summarises a decision problem: Х1 0.2 70 D1 Х2 0.8 -20 X1 0.2 35 X2 0.8 15 D2Assignment 3- Classification Gini 1. We will use the dataset below to learn a decision tree which predicts if people pass machine learning (Yes or No), based on their previous GPA (High, Medium, or Low) and whether or not they studied (see Table 1) Table 1: Dataset GPA Studied Passed L N N L Y Y M N N M Y Y H N Y H Y Y a. Calculate the Information Gain for H(Passed) b. Calculate the Information Gain over the following attributes: GPA ə Studied C. Which attribute should be chosen as the root of the decision tree? d. Calculate and draw a complete tree e. Based on answer (d) predict the following data • GPA (L) and Studied (Y) ● GPA (H) and Studied (N) -hgfffggg
- "A scientist divides a room of students into three groups. Each group takes a memory test in one of three rooms: a room held at a constant temperature of 40°F, a room held at 60°F, and a room held at 80°F. Afterwards, test are used to determine if temperature affects memory. || Scores Temperature is the Variable, Memory test score is the Variable. "Dr. Chidi Anagonye studied how self-esteem (high versus low) and success on a school project (passed/succeeded or failed) influences whether students attribute the cause of the outcome to themselves or others. High scores on the dependent variable mean they attribute the outcome to themselves and low scores mean they attributed the outcome to others. Below are his results. Look at the graph below and select the statement that is most true about the graph: Attribution to Self 8 A 9 5 + 3 Low Self Esteem Success High Self Esteem O None of these are accurate Outcome There are 4 independent variables There is definitely an interaction There is definitely not an interaction FailureGroup I nesting boxes were well separated from each other and well hidden by availablebrush. There were a total of 480 eggs in group I, of which a field count showed about275 hatched. Group II nesting boxes were placed in highly visible locations and groupedclosely together. There were a total of 874 eggs in group II boxes, of which a field countshowed about 272 hatched. Find a point estimate ˆp1 and ˆp2 for the proportion of eggsthat hatch in group I nest boxes and group II nest boxes. Let p1 and p2 be the populationproportion of hatched count in boxes I and II respectively. Find a 99% confidence intervalfor p1 − p2.(a) List the given information with appropriate symbols.(b) What is the probability distribution of ˆp1−pˆ2, difference between sample proportions?(c) Write the expression for the population mean of ˆp1 − pˆ2 distribution. Use propersymbols. (d) Find the population standard deviation of ˆp1 − pˆ2 distribution. Use proper mathematical symbols.(e) Find the margin of error of…
- Which is the predictor variable (X) and which is the criterion variable (Y) for each of the following examples? A researcher tests whether the size of an audience can predict the number of mistakes a student makes during a classroom presentation. A military officer tests whether the duration of an overseas tour can predict the morale among troops overseas. A social psychologist tests whether the size of a toy in cereal boxes can predict preferences for that cereal.helpA researcher would like to know if the gestation period of an animal can be used to predict the life expectancy. She collects the following data. Animal Gestation (incubation) Period (days) Life Expectancy (years) Cat 63 11 Chicken 22 7.5 Dog 63 11 Duck 28 10 Goat 151 12 Lion 108 10
- The percentage of employees who cease their employment during a year is referred to as employee turnover, and it is a serious issue for businesses. The following table shows the cost, in millions of dollars, to a certain company for a given employee turnover percentage in a year.Recently, management at a certain golf course received a few complaints about the condition of the greens. Several players complained that the greens are too fast. Rather than react to the comment of just a few, the Golf Association conducted a survey of 100 male and 100 female golfers. Suppose the survey results are summarized here. Male Golfers Female Golfers Greens Condition Greens Condition Handicap Too Fast Fine Handicap Too Fast Fine Under 15 10 40 Under 15 1 9. 15 or more 25 25 15 or more 37 53 (a) Combine these two crosstabulations into one with Male and Female as the row labels and Too Fast and Fine as the column labels. Greens Condition Gender Too Fast Fine Total Male 35 65 100 Female 38 62 100 Total 73 127 200 Which group shows the highest percentage saying that the greens are too fast? The female O golfers have the highest percentage saying the greens are too fast, and the percentage is %. (b) Refer to the initial crosstabulations. For those players with low handicaps…and is a lan-%bogat granata s74 5. Improving Observational Studies - Fill in the blanks If we want to check out effects of a drug using an observational study, then we should use a the patients large pool of subjects who did not take the drug those individuals who who took the drug in characteristics such as and other lurking variables. It is important to think of as many possible lurking variables as possible to use in the matching. Any lurking variables that have not been matched can still result in
