Question Solved1 Answer Decision Trees, Entropy and Information Gain An important class of machine learning models is decision trees: you can use them for both classification and regression. Decision trees can summarize the way humans reasons. Below is a table of data gathered from a recent census in Ontario, Canada. The study was done according to different features including / AGE: a continuous feature listing the age of the individual / EDUCATION, a categorical feature listing the highest education award achieved by the individual (high school, bachelors, doctorate) / MARITAL STATUS (never married, married, divorced) / OCCUPATION (transport = works in the transportation industry; professional = doctors, lawyers, etc.; agriculture = works in the agricultural industry; armed forces = is a member of the armed forces) and finally the ANNUAL INCOME, the target feature with 3 levels (<25K, 25K–50K, >50K) ID AGE EDUCATION STATUS OCCUPATION INCOME 1 39 bachelors never married transport 25K–50K 2 50 bachelors married professional 25K–50K 3 4 18 28 high school bachelors never married married agriculture professional <25K 25K–50K 5 37 high school married agriculture 25K–50K 6 7 24 52 high school high school never married divorced armed forces transport <25K 25K–50K 8 40 doctorate married professional >50K a) In this part, you are asked to compute the entropy of this dataset. b) Now, In this part, you are asked to Calculate information gain for the features: EDUCATION, MARITAL STATUS, and OCCUPATION (based on entropy).

7 iava Write a Java class called Student that contains 1) The private data fields: name (as string), num OfPasses (as integer), numOfFailures (as integer). [1 pt] 2) No-arguments constructor that sets the data fields to their default values. [2 pts] 3) 3-arguments constructor that sets the data fields to the specified given values. [3 pts] 4) get method for the name data field. [1.5 pts] 5) Set method for the name data field. (1.5 pts] 6 A method called pass that increments numOfPasses by one. [1.5 pts] 7) A method called fail that increments numOfFailures by one. [1.5 pts] 8) A method called performsWell that returns true if the numOfPasses is greater than 4 and numOfFailures is less than 3, and false otherwise. [2 pts] * M (14 Points)

Use standard themodynamic data below to calculate ΔG at 580.0 K for the following reaction. Assume that the values of ΔH° and ΔS° do not change appreciably with temperature. NH4​Cl(s)NH3​(g)+HCl(g) Subtance ΔHof (kJ/mol) Sof (J/mol·K) NH4​Cl(s) -314.4 94.6 NH3​(g) -46.1 192.5 HCl(g) -92.3 186.9 Please show the steps and give an explanation. Thank you

Assuming that the values of ΔH° and ΔS° do not change appreciably with temperature, calculate the ΔG° value for the reaction from the polyatomic ion data in standard thermodynamic property tables.Predict the lowest temperature at which the reaction is spontaneous. The dissolution of ammonium nitrate is given by the reaction:NH,NO,(s)NH (aq)+NO; (aq)

Use standard themodynamic data to calculate ΔG at 480.0 K for the following reaction. Assume that the values of ΔH° and ΔS° do not change appreciably with temperature. NH4Cl(s) → NH3(g) + HCl(g)

For each part, find the asymptotic order of growth of T; that is, find a function g such that T(n) = (g(n)). In all subparts, you may ignore any issues arising from whether a number is an integer (a) T(n) = 4T(n/2) + 42n (b) T(n) = 4T (n/3) +n (c) T(n) = T(n) +1 (You may assume that T(2) = T(1) = 1)

Page 1 . . Name: Score: arcsec 5 pts 1. The angular size of your finger at arm's length is about 1. How many arcseconds is this? Write as a regular number. (Hint: How many arcseconds in an arcminute? How many arcminutes in a degree? Show your work (use dimensional analysis): [10 pts total] Work 5 pts 2. As the Moon orbits the Earth, it moves about 13.2° per Page 1 . . Name: Score: arcsec 5 pts 1. The angular size of your finger at arm's length is about 1. How many arcseconds is this? Write as a regular number. (Hint: How many arcseconds in an arcminute? How many arcminutes in a degree? Show your work (use dimensional analysis): [10 pts total] Work 5 pts 2. As the Moon orbits the Earth, it moves about 13.2° per day. Over the course of a calendar week (Sunday through Saturday). how many degrees will it have moved? • 5 pts Show your work (use dimensional analysis): [10 pts total] Work = 5 pts 3. (a) At 8 a.m., the Moon is visible with half its face dark and the other half a ghostly white against the morning blue sky. What phase is the Moon in? [Part a 5 pts New Waxing crescent First quarter Waxing gibbous Full Waning gibbous Third quarter Waning crescent (b) As you look at the Moon, which side is visible (bright)? Left Right (Part 5 pts During the course of a day, the Moon will appear to rise in the east, cross the sky, and set in the west. Starting just after New Moon, the Moon is easy to spot in the early evening sky (assuming, of course, that no clouds obscure it). If you look at the same point in the sky over a period of two weeks, the Moon will appear to move in what direction relative to that same spot in the sky? 5 pts] The Moon moves toward the North South East West 5. The asteroid that killed the dinosaurs was about 10 km (6 mi) across. If you were standing on Earth watching it approach how far away would it be to appear at an angular size of * (0.5"), which is the same size that the Sun and Moon appear [Round each answer to the nearest whole number: kilometers or miles. Using powers often will help.1 125 pts total 360° Angular size() - Physical size Distance (m) - Physical size (m) 2x x Distance (m) Use this 2x x Angular size) ; (a) The asteroid would be km distant. [Part 8 pts (b) The asteroid would be mi distant. (Convert km to miles.) [Part 8 pts] Show your work: [Hint: Convert 10 km to meters for the formula. At the end, convert meters back to km. 1.000 ms 1 km. [Work 9 pts Use 1 km 0.62137 mi.