2. For some time series data y₁, 92, 9120, the sample variance is:****1201Σ(yi - g)2 = 1.25120and the values of the sample auto-correlation function (SACF) for the first three lags areshown in the table below:8 = 38 = 1 s = 20.2385662 0.4475ACF0.1331527(a) Calculate the values for the following sums:120120120Σ(1-1 -5): - 5), Σ(1-2 - 1)(y% - 7), Σ(1-3 - 3)(y; - 7).i=3(b) Based on the information available, calculate the values of the sample partial auto-correlation function (SPACF) 11 and 22.(c) Provide the system of equations required for evaluating 33, the sample partial auto-correlation function (SPACF) at lag three.

Answered: Image /qna-images/answer/b3296f1b-1293-4f23-bdde-a4078f833687.jpg

Answered: 2. For some time series data y₁, 92,…

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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A student conducted a correlation analysis and obtained the following values: weight, TSC, Y X*X Y*Y X*Y 55 2.9 3025 8.41 159.5 49 0.7 2401 0.49 34.3 67 3.3 4489 10.89 221.1 70 4.2 4900 17.64 294.0 57 3.8 3249 14.44 216.6 SUM: 298 14.9 18064 51.87 925.5 Calculate the t Calculated and t Critical values. O Calculated = 1.45; Critical = 2.776 %3D Calculated = 2.21; Critical 3.182 Calculated = 0.64; Critical 3.182 O Calculated = 4,56; Critical =3.182
calculate the following class frequency 500-750 15 750-1000 23 1000-1250 55 1250-1500 92 1500-1750 65 1750-2000 50 (a) Calculate the variance (b) Standard deviation (c) The coefficient of the variation
Compute the sample correlation coefficient r for each of the following data sets and show that r is the same for both. (Round your answers to four decimal places.) (i) x 8 1 9 y 3 4 5 (ii) x 3 4 5 y 8 1 9 r (i) = (ii) =
O REGRESSION AND CORRELATION Linear relationship and the sample correlation coefficient Shas Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on the same scale.) Each data set is made up of sample values drawn from a population. y 11 10- 94 S- 1.0 6.7 1.0 7.4 10- 2.0 9.4 2.0 9.1 3.0 4.0 3.0 7.0 4.0 9.1 6+ 4.0 5.3 5- 5.0 4.7 5.0 8.0 4. 3 2- 7.0 6.4 6.0 1.7 6.0 5.1 7.0 | 4.6 8.0 10.1 9.0 5.1 8.0 6.5 9.0 5.7 10.0 3.7 10.0 8.0 | Figure 1 Figure 2 t 1.0 3.2 1.0 1.0 2.0 2.0 2.0 4.2 3.0 3.3 3.0 3.0 4.0 4.9 4.0 4.0 5.0 4.5 5.0 5.0 6.0 6.8 6.0 6.0 7.0 5.8 7.0 7.0 8.0 7.3 8.0 8.0 9.0 6.6 9.0 9.0 10.0 8.2 Figure 3 10.0 10.0 Figure 4 Explanation Check e 2021 McGraw-H Education. All Rights Reserved. Terms of Use I Privacy Accessibilty P Type here to search
State Debt and Per Capita Tax Data for per capita state debt and per capita state tax for nine randomly selected states are shown. The correlation coefficient is r=0.463. Compute the standard error of the estimate rounded to at least two decimal places, if appropriate. Assume a=0.05. Per capita debt x Per capita tax y Send data to Excel 4529 1455 2349 3478 1948 2387 2423 3357 1645 1430 O The standard error of the estimate should be calculated. Sest O The standard error of the estimate should not be calculated. X 1902 3691 1913 2054 2069 2049 3 907 2054
Ensure the RaceResults worksheet is active, then use the FREQUENCY function to calculate the frequency distribution of the race results in column D. Place your results in the range G4:G9. Enter a function in cell F22 to calculate the correlation between age (Columns C) and race time (Column D). Enter a function in cell G22 to calculate the covariance between age and race time. Enter a function in cell H22 to calculate the variance of the ages in the data set. Note this is a sample of data not a population. Enter a function in cell 122 to calculate the standard deviation of the ages in the data set.
A student conducted a correlation analysis and obtained the following values: weight, TSC, X*X Y*Y X*Y Y 45 2.9 2025 8.41 130.5 49 0.7 2401 0.49 34.3 67 3.3 4489 10.89 221.1 70 4.2 4900 17.64 294.0 57 3.8 3249 14.44 216.6 SUM: 288 14.9 17064 51.87 896.5 Calculate the Calculated and Critical values. %3D Calculated = 2.21; Critical = 3.182 Calculated = 0.64; Critical = 3.182 Calculated = 1.45; Critical = 3.182 Calculated = 0.64; Critical = 2.776
The Pearson Product correlation coefficient of this graph would be closest to: 0.9 0.1 -0.5 -0.1 -0.9 O 0.5
Calculate the Spearman's rank correlation coefficient between the following two sets of data: X = [3, 5, 4, 7, 6] Y = [2, 4, 3, 8, 7]
R1
For a data set of chest sizes (distance around chest in inches) and weights (pounds) of eight anesthetized bears that were measured, the linear correlation coefficient is r = 0.996. Use the table available below to find the critical values of r. Number of Pairs of Data n Critical Value of r 4 0.950 0.878 0.811 7 0.754 8. 0.707 9. 0.666 10 0.632 11 0.602 12 0.576 А. -0.707, +0.707 В. +0.707 С. +0.754 D. -0.707
Based on the data shown below, calculate the correlation coefficient (to three decimal places) x1234567891011121314 y21.4724.7427.2127.5830.0530.7230.7932.9635.033840.6740.6442.0143.28

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