This problem set deals with the problem of non-constant acceleration. Two researchers fromFly By Night Industries conduct an experiment with a sports car on a test track. While one isdriving the car, the other will look at the speedometer and record the speed of the car at one-second intervals. Now, these aren't official researchers and this isn't an official test track, sothe speeds are in miles per hour using an analog speedometer. The data set they create is:{(1, 5), (2, z), (3, 30), (4, 50), (5, 65), (6,70)}Z = 25They notice that the acceleration is not a constant value. They decide that a fourth-degreepolynomial will be the best to describe the speed of the car as a function of time.The task here is to determine the fourth-degree polynomial that fits this data set the best.1. Use a general fourth-degree polynomial and Fly By Night's data to construct sixequations. Note that the equations are linear in the coefficients. Write the equationshere:2. Construct the least-squares problem Ax = b.A =b =

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A researcher was interested in finding out whether students’ sense of belonging in a course differed between students attending classes on campus and students attending classes on Zoom. They recruited five students attending classes on campus and five students attending classes on Zoom to test this. Students were asked to complete a survey measuring how much they felt like they belonged in the course. The scale ranged from 0 (not at all) to 10 (very much). Students’ data, which were non-normal, are provided below. Campus Zoom 3 7 2 5 7 4 1 8 6 9 What is your obtained statistic?A) 19.5B) 35.5C) 3D) 10 What is your critical statistic?A) 17B) 19C) 0D) 1 What is your conclusion?A) Students taking the course on campus reported a significantly lower sense of belonging compared to students taking the course on Zoom.B) Students taking the course on campus reported a significantly higher sense of belonging compared to students taking the course on Zoom.C) Sense of belonging…
Sarah was calculating the speeds (mph) of vehicles travelling down Maple Street on two separate days at 9 am for an hour. Below is the data she collected. Wednesday's Speeds: Sunday's Speeds: 34,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30 18,27,34,37,49.55,63,61,48,30,27,17,17,15,26,46,25 4) Find the Standard Deviation of each day. Wednesday's Standard Deviation Table X x (x-)²2 n-l Sunday's Standard Deviation Table 7 (x-2)² n-1 2). Sketch Wednesday's Bell Curve with 30 Sketch Sunday's Bell Curve with 30 (x-7)²= x-F (x-7) 2 3. Based on your analysis of the data and standard deviations, which day would you say is the most dangerous day on Maple Street?
Please complete the following summary table for the following scenario. Please be sure to round your answers correctly to two decimal places (else it is marked wrong). An educational psychologist is interested in the effect of reading on reasoning abilities. Ten students from grades six through eight are enrolled in a reading club that requires daily reading of books for thirty days. Student reasoning ability is tested using a logic quiz with twenty question. The number of correct answers was recorded for each student. The researcher administered a logic quiz before, during, and after the thirty day reading assignment. Means are included below. Did the reading regularly affect reasoning? Before; 10.70 During: 11.50 After: 14.00 Source Time Error Sum of Squares 59.00 18.00 df 2 27 Mean Squares 29.5 0.67 F 44.03
Compare the linear regression data for two students walking in front of a motion sensor: Bob’s walk d = 0.75t + 2 r = 0.70 Tracey’s walk d = 0.75t + 2 r = 0.95 a) How are the movements of these walkers similar? different? b) Sketch possible distance versus time graphs for Bob and Tracey.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.8 8.6 6.6 3.8 2.4 2.6 2.3 0.8 yy 13.9 11.1 9.9 7.1 6.4 6.4 5.8 4.7 xx = thousands of automatic weaponsyy = murders per 100,000 residentsUse your calculator to determine the equation of the regression line. (Round to 2 decimal places)A) Determine the regression equation in y = ax + b form and write it below. Answer=? B) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons?Answer = ? Round to 3 decimal places. C) How many murders per 100,000 residents can be expected in a state with 7.2 thousand automatic weapons?Answer = ? Round to 3 decimal places.
What is an example of something going on in your mind or body that is automatically controlled by math or has a math equation that goes with it?
Please answer question 4.1
The temperature of a certain chemical process is thought to be related to the time it takes for the process to reach completion. Out goal is to that relationship so that we can use it to predict TIME TO REACH COMPLETION at various TEMPERATURES. 14 trials are set up and the time for the process to complete is measured for each of the different temperatures. The data is presented here:(data is in the image added to the question as well as more questions to answer)
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.9 8.4 6.6 3.8 2.6 2.3 2.2 0.9 y 14.2 11.1 9.6 7 6.2 6.1 5.8 5 x = thousands of automatic weaponsy = murders per 100,000 residentsThis data can be modeled by the equation y=0.85x+4.03. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator.A) How many murders per 100,000 residents can be expected in a state with 7.7 thousand automatic weapons?
Suppose Aaron recently purchased an electric car. The person who sold him his new car told him that he could consistently travel 200 mi before having to recharge the car's battery. Aaron began to believe that the car traveled even farther than the company claimed, and he decided to test this hypothesis formally. Aaron drove his car only to work and he recorded the number of miles that his new car traveled before he had to recharge its battery a total of 17 separate times. The table shows the summary of his results. Assume his investigation satisfies all conditions for a one-sample t-test. Mean miles traveled Sample size t-statistic P-value P 207 17 1.48 0.079 The results statistically significant at a = 0.01 because P 0.01. are are not V
Range of ankle motion is a contributing factor to falls among the elderly. Suppose a team of researchers is studying how compression hosiery, typical shoes, and medical shoes affect range of ankle motion. In particular, note the variables Barefoot and Footwear2. Barefoot represents a subject's range of ankle motion (in degrees) while barefoot, and Footwear2 represents their range of ankle motion (in degrees) while wearing medical shoes. Use this data and your preferred software to calculate the equation of the least-squares linear regression line to predict a subject's range of ankle motion while wearing medical shoes, ?̂ , based on their range of ankle motion while barefoot, ? . Round your coefficients to two decimal places of precision. ?̂ = A physical therapist determines that her patient Jan has a range of ankle motion of 7.26°7.26° while barefoot. Predict Jan's range of ankle motion while wearing medical shoes, ?̂ . Round your answer to two decimal places. ?̂ = Suppose Jan's…
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 70% of the cases. Suppose the 15 cases reported today are representative of all complaints. pctune Click here for the Excel Data File a-1. How many of the problems would you expect to be resolved today? (Round your answer to 2 decimal places.) Nomber of Problems 0-2. What is the standard deviation? (Round your answer to 4 decimal places.) Standerd Devistion b. What is the probability 9 of the problems can be resolved today? (Round your answer to 4 decimel places.) Probebility Next of 10 Prev Et ere to search

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