4. The spring constant of a steel spring is estimated by measuring the force required to produce variousdisplacements. The data for N = 6 trials are given below with displacement in cm and force in N.b.a. By hand, calculate the equation of the least squares line.By hand, compute a 95% confidence interval for the slopeof the line, which is the spring constant k (in N/cm).hpDisplacement (cm)0.40.81.21.62.02.4Force (N)4.5310.4714.5120.2325.2429.87

Regression is the statistical analysis method which used for prediction analysis. Time series also…

Answered: 4. The spring constant of a steel…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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7:50 Drive 2) A group of undergraduates scored an average of 625 on the Math SAT. The SD is 100. The standard unit(or z-score) of 775 is 3) Consider the list L1 = {1, 3, 4, 5, 7}. The standard deviation of L1 is 2. If we add 5 to each number in L1, we get L2 = {6, 8, 9, 10, 12}. The standard deviation of L2 is The area under any histogram is 4) percent. 5) Suppose we have a scatter diagram for the heights of 3,000 pairs of fathers and sons. The summary statistics are: average height of fathers = 80 inches SD 6 inches average height of sons = 78 inches SD - 3 inches, r 0,6 The linear regression line for predicting height of the father(y variable) from the height of their sons(x variable) has slope 6) (12 pts) Consider the complete histogram below containing the hourly rate of substitute teachers in a certain district. 30 20 20 10 10 1 2 3 4 6 7 Wages (tens of dollars) a. Find the percentage of teachers who are paid between $30 per hour and $60 per hour. b. Find the value of x in the…
tion of about $1 million in payroll. (E) One extra win corresponds to an addi- tion of about $17 million in payroll. 6. The residual for the least-squares regression line y = 3.422 +5.551x at the data point (9.227, y) is equal to 1.811. Which of the following is the value of y? (A) 56.452 (B) 54.641 (C) 52.830 (D) 11.038 (E) 7.416 ere to search
The given quantities below were calculated from a sample data set. Στο 338 I Lu=308 Ση2 = 4678 2 y = 4236 Determine the least squares regression line. Round values to four decimal places, if necessary. Σry = 3595 n = 30 Determine the correlation coefficient. Round the solution to four decimal places, if necessary.
After you estimate a simple linear regression you obtain the following sample regression function: Y₁ = 8.8 +0.7091 Xį With an r² of 0.784. The observed dependent variable used for the regression is: Y 9 675 40 40 40 6 5 5 5 5 1 1 Compute the sample variance of X? 8.45 10.79 9.17 7.19 Cannot be computed with the provided information.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 188 cm and weights of 38 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.62 cm, y = 81.37 kg, r 0.113, P-value = 0.263, and y = - 105+1.01x. Find the best predicted value of y (weight) given an adult male who is 142 cm tall. Use a 0.05 significance level. %3D The best predicted value of y for an adult male who is 142 cm tall is kg. (Round to two decimal places as needed.)
In an experiment to measure the stiffiness of a spring, the length of the spring under different loads as measured as follows: X=loads Y= length 3 10 5 12 15 9 18 10 20 12 22 15 27 20 30 22 32 28 34 I. Find the regression equations appropriate for predicting: a) The length, given the weight on the spring b) The weight, given the length of the spring II. The standard errors of the estimates III. Coefficient of determinations
An engineer measures the peak current (in microamps) when a solution containing an amount of nickel (in parts per 10°) is added to a buffer. The experiment was repeated for eleven different values of nickel solutions. A scatterplot showing the data is given below: Peak Current in Eleven Buffers with Added Nickel Solutio 60 120 140 100 Amount of nickel (pp million) Suppose a regression line was added to the plot above. If an additional measurement had been taken with the nickel of 62 parts per 10 and a peak current of 0.38 microamps, adding this observation would: O A. increase the intercept, decrease the slope. OB. increase the intercept, increase the slope. C. decrease the intercept, increase the slope. OD. decrease the intercept, decrease the slope. E. not affect the regression line.
Given the correlation coefficient 0.794 and the linear regression equation ŷ = 16.4 +1.58x, compute the coefficient of determination. p² Round to 4 decimal places. =
For a given set of x and y data values, assume that the regression model assumptions are valid and that a 90% confidence interval for ₁ is given by (-2.2, -0.1). Which of the following statements are true? i) At a = 0.10, there is a significant linear relationship between x and y. ii) In the scatterplot of x and y, the values of y tend to decrease as the values of x increase. iii) Based on this confidence interval, we would reject the null hypothesis of no linear relationship at any significance level a ≤ 0.1. Select one: a. i) O b. i) and ii) O c. ii) d. i), ii), and iii)

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