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, 2), (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. Construct the system of normal equations A¹ Ax = A¹b.AT A =АТЬ=2. Solve the system of normal equations. (I don't want you doing this by hand. Use acalculator or app.)x =

For a system: Ax=b, the formula for least-squares fit is x^=ATA-1ATb. The matrix: AT is the…

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-three 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.
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
Please answer the questions using the data in Table 8. (Note: You must use either Microsoft Excel or Minitab for this problem and include the table they produce with your work.) Questions 8A to 8C Table 8. Data for problem 8. I2 18.7 18.7 I1 9.2 9.3 9.6 9.0 11.7 8.2 11.0 10.0 10.5 8.7 18.1 21.3 21.1 19.7 19.7 19.5 16.4 19.7 13 27.4 23.8 38.1 32.4 24.6 27.0 25.0 27.5 26.3 43.1 80.6 62.8 137.3 94.8 62.0 72.6 68.2 79.5 86.9 154.1 8A. Use technology to find the multiple regression equation for the data shown in Table 8. (Note: You must use either Microsoft Excel or Minitab for this problem and include the table the app produces with your work to get full score.) 8B. Find the standard error of estimate and interpret the result. 8C. Find the coefficient of determination and interpret the result. (Note: do not use the adjusted R-square.)
Tue M Preview File Edit View Go Tools Window Help O IMG 2729 ing. A O. IMG 2724.jpg ® Q Q Û e- O @ Qr Search O- Listed below are the numbers of cricket chirps in 1 minute and the corresponding temperatures in °F. Find the regression equation, letting chirps in 1 minute be the independent (x) variable. Find the best predicted temperature at a time when a cricket chirps 3000 times in 1 minute, using the regression equation. What is wrong with this predicted temperature? Chirps in 1 min 1050 1205 832 770 1242 946 1056 1110 O Temperature (°F) 79.4 93.4 69.8 70.1 93.6 80.5 83.5 89.1 Liste daud Iste sam Use betw The regression equation is y = +(x. (Round the y-intercept to one decimal place as needed. Round the slope to four decimal places as needed.) minu In th The best predicted temperature at a time when a cricket chirps 3000 times in 1 minute, based on the regression equation, is 1°F. (Typ (Round to the nearest integer as needed.) Iden 1- What is wrong with this predicted temperature?…
question 45 and 46
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
Please disregard question 2 in the images.
Questions 7-10
Question 28 b,c, and d
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…
This problem set deals with the problem of non-constant acceleration. Two researchers from Fly By Night Industries conduct an experiment with a sports car on a test track. While one is driving 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, so the speeds are in miles per hour using an analog speedometer. The data set they create is: {(1,5), (2, 2), (3, 30), (4, 50), (5, 65), (6,70)} Z = 25 They notice that the acceleration is not a constant value. They decide that a fourth-degree polynomial 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. Construct the system of normal equations A¹ AX = A¹b. AT A = A¹b = 2. Solve the system of normal equations. (I don't want you doing this by hand. Use a calculator or app.) x =
This problem set deals with the problem of non-constant acceleration. Two researchers from Fly By Night Industries conduct an experiment with a sports car on a test track. While one is driving 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, so the 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 = 25 They notice that the acceleration is not a constant value. They decide that a fourth-degree polynomial 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 six equations. Note that the equations are linear in the coefficients. Write the equations here: 2. Construct the…

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