Question 3 Page (213) As a Research Associate in the newly established Robotics Research Group at The Copperbelt University, you are presented with the following step-response plot obtained empirically in the robotics laboratory. i. ii. Response 1.4 1.2 1.0 0.8 0.6 0.4 0.2 0 5 10 15 20 20 Time (seconds) 25 25 Figure 4. System step response Determine the system's transfer function. [4 Marks] Determine the value of gain that can be cascaded with the above system when implemented as a unity feedback first-order mechanism to realise a response that settles at the reference value after 1 second when a unit step input is [8 Marks] applied.
Q: If f is a pdf of a real-valued random variable X, the cumulative distribution func- tion (cdf) of X…
A: Referencehttps://www.sciencedirect.com/topics/mathematics/probability-distribution-function
Q: A residual plot is a plot in which the residuals are plot ted against the value of the explanatory…
A: Here, we are given 2 residual plots. As mentioned in the question, residual plots can be used to…
Q: Which one of the sampling methods listed in the response options is used in the scenario below?…
A: The sampling method used in the scenario is Stratified. Reason: In stratified sampling, the…
Q: Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and…
A: The given values are:Proportion of U.S. adults with high blood pressure (p) = 0.3Sample size (n) =…
Q: ✅✅❎♦️♦️♦️✅✅✅♦️
A: Here, we are given that the populations are normally distributed, and we need to carry out a test…
Q: Listed below are annual data for various years. The data are the numbers of cars sold (thousands)…
A: Explanation in Problems 1 & 21. For linear correlation, the null hypothesis states that the…
Q: The Joint P.D.F. of X and Y is given by f(x,y)-(3-x-y (3-x-y.0<x<1, 0<y<1 0, otherwise a) Find…
A:
Q: . The 600 students enrolled in an introductory statistics course at a large university were surveyed…
A: In statistics, quartiles are values that divide your data into quarters provided data is sorted in…
Q: None
A: Analyzing the HypothesesUnderstanding the Problem:We are comparing the SAT math scores of two groups…
Q: A and B please
A: Part (a): Variance and Standard Deviation of a Poisson DistributionUnderstanding the Poisson…
Q: The stated goal of a chain of service stores is to provide a lube and oil change for anyone's…
A: Part AThe longest time it took to service a car was 25.73 minutes. Given that the distribution of…
Q: Please assist with the following questions
A: This problem asks for the calculation of the credibility factor and credibility premium for Risk 1…
Q: The table shows the average tuition and fees for a year of college at a public and a private college…
A: From the table, we can identify the following values:Cost of public college in 2011-2012: $8,286Cost…
Q: 1. VISION OF GRADE 10 STATISTICS The results for Argentina for the past 14 World Cup tournaments are…
A: Data TableWC TournamentMatches PlayedWinsDrawsLossesGoals ForGoals Against2006 Germany53201132002…
Q: A statistics student at Pleasantville High School (PHS) looked at seat belt use by drivers.…
A: The difference between the two percentages—80% of drivers claiming to always use seat belts and…
Q: Airline Fares. The mean airfare for flights departing from Buffalo Niagara International Airport…
A: I hope this helped you and you learned a lot :) If you have any questions or clarification, do not…
Q: . In a survey conducted by the Gallup organization, a random sample of U.S. adults who work full…
A: A confidence interval is a range of values, derived from a data set, that is likely to contain the…
Q: MAT271 - Practice Exercise lii Question Assume that each born child is equally likely to be a boy or…
A: Q1. (i) Conditional Probability Given That the Youngest is a Girl Sample Space: There are 4 possible…
Q: Watch your weight: A study published in 2008 reported that the mean weight of men aged 40-59 was…
A: Step 1: Defining the hypothesis: Null Hypothesis: H0:μ=89.3 The mean weight of men aged 40-59 is…
Q: Volunteering: The General Social Survey asked 1308 people whether they performed any volunteer work…
A: The problem is asking us to find a point estimate for the proportion of people who performed…
Q: A random sample of 50 students was taken by the principal of a large high school to see if a…
A: In statistics, the null hypothesis is a general statement or default position that there is no…
Q: (b) How many rats learned the maze in four trials or less?
A: A histogram is a type of plot that is used to graphically show the distribution of data using bars,…
Q: 3. A psychology professor wants to know if stress in his statistics class is in anyway affected by a…
A:
Q: solve part c
A: Given that: P=0.1 & 0.1 & 0.8 \\ 0.2 & 0.4 & 0.4 \\ 0.3 & 0.7 & 0 and we…
Q: not use ai please
A: Step 1:Given data :The probability of winning contract A is 0.3. If the company wins contract A,…
Q: You are given: 1. Losses follow a lognormal distribution. 2. E [X] = 1.5296 3. Var [X]=0.6645…
A: Step 1: Identify the Mean and Variance of the Log-transformed Variable Y. We are given:…
Q: The diameter of a brand of ping-pong balls is aproximately normally distributed, with a mean of 1.30…
A: Mean = 1.3Standard Deviation = 0.04n = 16The diameter of a brand of ping-pong balls is approximately…
Q: /pq What is the main function of reinforcement in concrete?** - A) To improve the concrete's color -…
A: Let's go through each option: (A) To improve the concrete's color: Reinforcement in concrete,…
Q: Which of the following statements about probability distributions is true? A) The probability mass…
A: When a random variable is less than or equal to a given value, the probability is displayed by the…
Q: please solve on paper
A: Step 1: Step 2:Step 3: Step 4:
Q: not use ai please
A: Step 1: State the given data: Take note that the given values are observed values. significance…
Q: 4. Compute AND interpret the estimated OR for the effect of being currently employed (OCC = 1)…
A: Fit a Logistic Regression Model• Objective: To estimate the effect of being currently employed on…
Q: A random sample of 16 pharmacy customers showed the waiting times below (in minutes). 21 28 20 16…
A: First, we need to calculate the sample mean (x̄), which is the sum of all the sample values divided…
Q: by using R studio please code all problems
A: Let's go through each part of the question with detailed steps and analysis for clear understanding:…
Q: help please answer in text form with proper workings and explanation for each and every part and…
A: Step 1: List the given values.We are given the following data set:…
Q: 2.79 Calculate the range, variance, and standard deviation for the following samples: a. 39, 42, 40,…
A: Range: The range or say the difference between the maximum i.e. 42 and minimum i.e. 37 values in the…
Q: The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their…
A: Step 1: Define the HypothesesThe null hypothesis (H0) and the alternative hypothesis (H1) are…
Q: using R studio please code the following
A:
Q: help please answer in text form with proper workings and explanation for each and every part and…
A: Step 1:Given Data :• Grade 1: Mean = 1.64, Sample Size (n) = 7, Standard Deviation (SD) = 0.23•…
Q: Listed in the accompanying table are heights (in.) of mothers and their first daughters. The data…
A: To test the claim that there is no difference in heights between mothers and their first daughters,…
Q: n dice are rolled. what is the probability of getting no 6's given that atleast one 5 will appear in…
A: We have n dice rolled, and we want to find the probability of getting no 6's given that at least one…
Q: 20-9 R. W. Landgraf reported the following axial (push-pull) endurance strengths for steels of…
A: Given data : Su (X)Se(Y)XYY2X2 6529.51917.5870.254225 3251143705012996105625 2809626880921678400…
Q: A manufacturer of kitcken appliances is preparing to set the price on a new blender. Implement the…
A: Step 1: Calculate the derivative of the profit functionThe derivative of the profit function with…
Q: what is 95%CI of percentage ? p=94/100, n=200
A: Formula for CICI = p̂ + z(np^(1−p^))wherep̂ = sample proportion = 94/100 = 0.94z = critical…
Q: None
A: let's consider a Completely Randomized Design (CRD) model and show the required properties.The CRD…
Q: Heights of statistics students were obtained by a teacher as part of an experiment conducted for the…
A: Step 1: List the Last DigitsFirst, we need the last digits of the heights. Since you didn't provide…
Q: A company wishes to test five different types of tires: A, B, C, D and E. The lives of the tires are…
A: First, we need to calculate the mean (average) life of each tire type. The formula for the mean…
Q: Suppose that Mary, Gary, and Larry have been asked to randomly sample 100 patients' visit records…
A: In statistics, sampling is a method that allows us to get information about the population based on…
Q: Parts a-c please
A: (a) Transform the age to a z-scoreStep 1: Identify the formula for z-score z-score = (x - μ) /…
Q: Talento wants to use a regression model of how units sold of its new Tiramisu Gelato flavor…
A: 1. Completing the missing values in the analysis: From the regression model, we are given the…
Step by step
Solved in 2 steps with 1 images
- Cellular Phone Subscribers The table shows the numbers of cellular phone subscribers y in millions in the United States from 2008 through 2013. Source: CTIA- The Wireless Association Year200820092010201120122013Number,y270286296316326336 (a) Find the least squares regression line for the data. Let x represent the year, with x=8 corresponding to 2008. (b) Use the linear regression capabilities of a graphing utility to find a linear model for the data. How does this model compare with the model obtained in part a? (c) Use the linear model to create a table of estimated values for y. Compare the estimated values with the actual data.Blank Filling Question. No work is required or graded. The amount of water used by the production facilities of a plant varies. Observations on water usage and other, possibly related, variables were collected for 17 months. The following model is fitted: USAGE = Bo + Bi TEMP + B2 PROD+ B3 DAYS+ B4 PAYR + Bs HOUR + E where the response variable is USAGE = monthly water usage (gallons/100) and the explanatory variables are TEMP average monthly temperature (°F) amount of production number of operating days in the month number of people on the monthly plant payroll PROD %3D DAYS = PAYR HOUR number of hours shut down for maintenance %3D Below is the selected SAS output with edit. Dependent Variable:JSAGE monthly water usage (gallons/100) Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr>F Model Error 113.54388 Corrected Total 319.50011 esc 20 000 000 F4 * FS F1 F2 F3 F7 @ $ % & * 3 4 5 6 7 9 Q W E R Y U A S F G KBela is trying to determine whether ACT score and college GPA are correlated. She takes 47 randomly selected students, and creates the following scatter plot.
- lecture(11.14): A professor offered a course that was offered half online and half in person. The professor hypothesized that students were spending less time on the material than on the off line material. At the end of the semester, students were asked to provide the amount of time they tended to course tasks during a week. The weeks were classified as online or in person, and the average amount of time is provided for 15 students. Online: 4 3 5 6 2 2 4 7 5 4 3 2 6 6 3 In person: 5 5 4 7 3 4 4 6 4 5 3 4 5 8 4 Test the hypothesis at( alpha=0.05) level of significance using the 5 step procedure. Make sure to clearly state the null and alternative hypothessis. Round your answer to 2 decimal places.Compute the least-squares regression line for predicting the 2012 budget from the 2006 budget. Round the slope and y. intercept to at least four decimal places.Let x = day of observation and y = number of locusts per square meter during a locust infestation in a region of North Africa. x 2 3 5 8 10 y 2 3 12 125 630 (a) Draw a scatter diagram of the (x, y) data pairs. Do you think a straight line will be a good fit to these data? Do the y values almost seem to explode as time goes on? No. A straight line does not fit the data well. The data seem to explode as x increases.Yes. A straight line does not fit the data well. The data seem to explode as x increases. No. A straight line does not fit the data well. The data does not seem to explode as x increases.Yes. A straight line seems to fit the data well. The data seem to explode as x increases. (b) Now consider a transformation y' = log (y). We are using common logarithms of base 10. Draw a scatter diagram of the (x, y') data pairs and compare this diagram with the diagram of part (a). Which graph appears to better fit a straight line? The two diagrams are the same. The…
- please help asap. i will upvote.The least-squares regression equation is y = 602.1x + 17,023 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.6748. Complete parts (a) through (d). This is (Round higher CE lower Median Income 55000- 25000- 15 20 25 30 35 40 45 50 55 60 Bachelor's % (a) Predict the median income of a region in which 25% of adults 25 years and older have at least a bachelor's degree. $32076 (Round to the nearest dollar as needed.) (b) In a particular region, 29.1 percent of adults 25 years and older have at least a bachelor's degree. The median income in this region is $37,759. Is this income higher than what you would expect? Why? than expected because the expected income is lar as needed.) Q 0Lecture(12.6): Resaerchers were interested in the effects of maternal stress on infants production of stress hormones. They measure the level of the hormone "cortisol", in infant saliva when the infants were 9 months old. The mothers were categorized according to the amount and type of stress they were experiencing during pregnancy . One group of mothers reported no extra ondinary stress during pregancy .Another group of mothers were living in New York city when the terrorist attack on the twin tower on september 11,2001. They were between 2 and 4 months on the day of the attack. The third group of mothers were refugee fleeing a war in their country. .They all lived in the refugee camp for the entire time that they were pregnant.They were re settleling in the US. (1) What type of test should the reseacher use to test this hypotheses? (2) What would the null and alternative hypotheses be? (Select two answers for each) (a) Z test (b)single sample t test (c)dependent…
- Q2. Consider an experiment to compare six oil refineries. Three refineries are in Texas and three are in Oklahoma The observed variable is the amount of gasoline produced in a day. For each refinery, there are obscrvations on two days. We write a model for these data as Yjk =H+a; + Bij +ejk; i=1, 2;j=1,2, 3; k= 1, 2. Here a refers to the state, and B refers to the refinery within state. This model can be written as a lincar model Y = XBß+e, where, B = (µ, a,, az, B11, Bı2, B13, B21, B22, B23)'. (a) Write out Y, X, and e for this model. (b) Compute XX. (c) Show that X is not of full column rank. Specifically, show that there are three columns of X that can be written as linear combinations of the other six columns. (d) Show that the remaining six columns of X are linearly independent. %3DD3)We have data on Lung Capacity of persons and we wish to build a multiple linear regression model that predicts Lung Capacity based on the predictors Age and Smoking Status. Age is a numeric variable whereas Smoke is a categorical variable (0 if non-smoker, 1 if smoker). Here is the partial result from STATISTICA. b* Std.Err. of b* Std.Err. N=725 of b Intercept Age Smoke 0.835543 -0.075120 1.085725 0.555396 0.182989 0.014378 0.021631 0.021631 -0.648588 0.186761 Which of the following statements is absolutely false? A. The expected lung capacity of a smoker is expected to be 0.648588 lower than that of a non-smoker. B. The predictor variables Age and Smoker both contribute significantly to the model. C. For every one year that a person gets older, the lung capacity is expected to increase by 0.555396 units, holding smoker status constant. D. For every one unit increase in smoker status, lung capacity is expected to decrease by 0.648588 units, holding age constant.