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 =

The polynomial of degree n can be defined as: axn+bxn-1+cxn-2+…+d, where a, b, c,..., d are…

Answered: This problem set deals with the problem…

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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At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-five wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, ? can be assumed to be 255 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit ______cm/sec upper limit _____cm/sec
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?
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.
At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-two wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, σ can be assumed to be 260 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec (b) Does the confidence interval indicate that the population mean wind speed is such that the sand is always moving at this site? Explain. No. This interval indicates that the population mean wind speed is such that the sand may not always be moving…
Please answer question 4.1
The head of the production would like to know how many work hours that the first 55% of the grand pianos need for completion. Use the data from problem 1 to answer this question for her. Please use excel or explain excel input to get answer
The time data is therefore the (Chebyshev's Rule, Empirical Rule) says we should expect of the time data to be minutes.
(For Questions 17-19 and 20-24). The following data was collected from a clinical trial testing a new drug aimed to lower blood pressure for individuals older than age 45. Half of the 20 participants received the new drug (Treatment = Yes) and the other half of the participants received a placebo pill (Treatment = No). Their age and gender was also recorded. Please use this data for Questions 17-19 and 20-24 and note, not all the information in the table will be used for either problem, you must decide what is relevant based on what the problem is asking. Subject ID Treatment Age Gender BP_Before BP_After D1 Yes 65 F 103.3 80.5 D2 Yes 59 F 93.6 85.9 D3 Yes 60 M 92 85.2 D4 Yes 54 F 93 87.8 D5 Yes 65 F 95.4 85.3 D6 Yes 57 M 109.6 94.2 D7 Yes 69 M 97.9 83.9 D8 Yes 62 M 96 85 D9 Yes 49 F 98.4 86.3 D10 Yes 45 M 98.4 90 C1 No 63 F…
You are interested in the relationship between exercise and anxiety. You therefore design two separate studies. Study 1: You give a questionnaire about exercise. This questionnaire yields a score between 0 and 30, with 0 being never exercises, and 30 being exercises near constantly. You also give a questionnaire about anxiety. This questionnaire yields a score between 0 and 50, with 0 being not anxious at all, and 50 being extremely anxious. You then see if scores on the exercise questionnaire are related to scores on the anxiety questionnaire. Study 2: You randomly assign individuals to one of two groups. Group 1 must exercise for an hour a day 5 days a week, for one month. Group 2 must not exercise at all for the whole month. After the month, you conduct a formal diagnostic interview with each person to determine their level of anxiety. This anxiety interview yields an anxiety scale between 1 and 20. You then see if mean anxiety, as measured by the interview, is significantly…

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