Problem#1 1.6 For each of the following variables, determine whether the variable is categorical or numerical. If the variable is numerical, determine whether the variable is discrete or continuous. In addi- tion, determine the measurement scale for each variable. a. Name of Internet service provider b. Time, in hours, spent surfing the Internet per week c. Whether the individual uses a mobile phone to connect to the Internet. d. Number of online purchases made in a month e. Where the individual uses social networks to find sought-after information.
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- 12. Simplify the following Boolean function F, together with the don’t-care conditions d :Question 5: Physical properties of six flame-retardant fabric samples were investigated. Consider the accompanying data, where x is a measurement of the stiffness of the fabric (mg-cm) and y is its thickness (mm). X y 7.98 24.52 12.47 6.92 20.71 24.11 0.28 0.65 0.32 0.27 0.57 0.81 (a) Use R to answer the following. Construct a scatterplot such that x is the independent variables and y is the dependent variable. Based on the scatterplot, what are your assumptions about the relationship between these two variables? (b) Calculate (by hand) and interpret the value of the sample correlation coefficient r. Does this agree or disagree with the assumptions you made in part (a)? (c) Use R to answer the following. Fit the simple linear regression model to this data. State the equation of the estimated regression line. (d) Use R to answer the following. Plot the equation of the estimated regression line on top of your scatterplot from part (a). Make sure you include the original scatterplot with…5. Determine the overall resistance of a 100-meter length of 14 AWA (0.163 cm diameter) wire made of the following materials. a. copper (resistivity = 1.67x10* Q•m) b. silver (resistivity = 1.59x10 Q•m) c. aluminum (resistivity = 2.65x10* Q•m) d. iron (resistivity = 9.71x10* Q•m)
- Kindly show the solution of the correct letter. 6. Among the real-life scenarios below, which one BEST represents a one-to-one function? A. student's ID number B. bus to 20 passengers C. 30 students to a section level D. a store that sells a variety of items 7. Which of the the following situations represents a one-to-one function? A. 3 wins of 5 games B. Cellphone number C. A person's passport D. Mother to its childrenYou are alone at home and have to prepare a bread sandwich for yourself. The following preparation activities and time taken are given in the table below: Determine the following:a. Find the earliest time and latest time for all activitiesb. While purchasing sauce, you met a friend and spoke to him for 6 minutes. Did this cause anydelay in the preparation?The liquid-liquid extraction process carried out at the Electrochemical Materials Laboratory involves the extraction of nickel (Ni) from the liquid phase into an organic phase. Data from laboratory experiments are given in the table below. Ni phase cair, a (gr/l) 2 2,5 3 Ni phase organik, g (gr/l) 8,57 10 12 Assume that a is the amount of Ni in the liquid phase, and g is the amount of Ni in the organic phase. Quadratic interpolation is used to estimate the value of g, which is given by the following formula: g = x1a? + x2a + x3 a. Find three simultaneous equations based on the data given by the experimental results. b. Use the Gauss Elimination method to get the values of x1, x2 and x3 and then estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the liquid phase. c. Use the LU Decomposition method to get the values of x1, x2 and x3. and then estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the liquid phase.
- 2. A safe has 5 locks v, w, y and z; all of which must be unlocked for the safe to open. The keys to the locks are distributed among five executives in the following manner.Mr. A has keys for locks v and x. Mr. B has keys for locks v and y. Mr. C has keys for locks w and y. Mr. D has keys for locks x and z. Mr. E has keys for locks v and z.a) Determine the minimal number of executives required to open the safe.b) Find all the combinations of executives that can open the safe; write and expression f(A, B, C, D, E) which specifies when the safe can be opened as a function of what executives are present.c) Who is the essential executive?1. Front-Running Detector Front-running is defined as trading a stock or another financial asset by a broker who has inside knowledge of a future transaction that is about to affect its price substantially. It is illegal and unethical. Here's an example of front-running: Say a trader gets an order from a broker to buy 50,000 shares of Tesla. Such a huge purchase is bound to drive up the price of the stock immediately, at least in the short term. The trader sets aside the broker request for a minute and first buys some Tesla stock for their own portfolio. Then the broker's order is executed. The trader could then immediately sell the Tesla shares and collect a profit. The trader has made a profit based on information that was not public knowledge. Your task is to create a Front-Running Detector that will process option trade data from different exchanges and determine if front-running has occurred. Your solution should be able to handle data from multiple exchanges, with the expectation…The spring in the figure below is stretched from its equilibrium position at x = 0 to a positive coordinate xo. ko HINT x = 0 x = xo PE sn PE 50 The force on the spring is F and it stores elastic potential energy PESO. If the spring displacement is tripled to 3x, determine the ratio of the new force to the original force, and the ratio of the new to the original elastic potential energy, Fo Fo PESO (a) the ratio of the new force to the original force, PE ST PE SO (b) the ratio of the new to the original elastic potential energy,
- 4. Consider the building from the figure below. a) If it is 200 feet tall and you are 20 feet away, at what angle from the ground will you have to tilt your head to see the top of the building? (For simplicity assume that your head is even with the ground.) How far is it from your head to the top of the building? Repeat parts (a) and (b) assuming your head is NOT even with the ground, but is 6 feet above ground level. b) c) angle distance d height hWhich of the following is one of the three characteristics that are sought when it comes to the electrical power supplying IT equipment? Maximization of circulating current Reduction of the grounding circuit Increase in electromagnetism Minimization of electrical noise Which of the following is a condition that must be met in order to qualify for the exemption from grounding requirements? The installation is in contact with ground and other conductive material. The runs are in lengths more than 25 feet long. The circuits contain an equipment grounding conductor. The installation is guarded from contact by people. Installations of computer circuits for IT centers typically include isolated/insulated grounding circuits derived from power distribution units. signal reference grids. sensitive electronics. broadband grounding systems.TASK: You are game developer (R) who is assigned in creating game of chance. (S) You are tasked to promote fairness through constructing games of chance, define a Random Variable from the particular game and construct its discrete probability distribution. (G). You will submit a proposal of the game with the computed probabilities of the values of the given Random variable. (P). The head of the gaming company will be judging the engagement and creativity of the game. (A).