Example 17.4 In a problem involving three variables X₁, X₂ and X3, we find thatr12 = 0.8, r13 = 0.6, 23 = 0.5Find the values of coefficients of partial correlation r23.1 and r13.2.

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Answered: Example 17.4 In a problem involving…

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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Each of the following graphs show the relationship between two variables. Determine the Pearson product-moment correlation coefficient (r) for each graph
Example 2. Calculate the covariance of the following pairs of observations of the two variates X and Y. (1, 6), (2, 9), (3, 6), (4, 7), (5, 8). (6, 5), (7, 12), (8, 3), (9, 17), (10, 1). Cs Scanned with CamScanner
ample 8•10. A computer while calculating correlation coefficient between two variables X and Y from 25 pairs ofobservations obtained the following results. n = 25, ΣχΕ 125, Ex2= 650, "Ey = 100, Σy-460 ΣΧΥ-508 correctly Prove that the It was, however, discovered at the time of checking that two pairs of observations were copied They noere taken as (6, 14) and (8, 6) while the correct values were (R, 12) and (6, correct value of the correlation coefficient should be 2/3.
Example 4. Calculate Coefficient of Correlation from the following results : n= 10, ΣX- 100, ΣY - 150, Σ (X- 102180, Σ(Y-15)?-215 E(X – 10) (Y – 15) = 60
(b) For each pair of variables, generate the correlation coefficient r. Compute the corresponding coefficient of determination r2. (Use 3 decimal places.) r r2 x1, x2 x1, x3 x2, x3
A Of two personnel evaluation techniques available, the first requires a 2-hour test-interview while the second can be completed in less than an hour. The scores for each of the eight individuals who took both tests are given in the table below. Applicant Test 1 (x) Test 2 (y) 1 75 38 2 90 56 60 35 71 46 92 58 3 4 5 7 8 106 55 87 69 30 52 (a) Find the correlation coefficient r to describe the relationship between the two tests. (Round your answer to three decimal places.) r= (b) Would you be willing to use the second and quicker test rather than the longer test-interview to evaluate personnel? Explain. O The correlation coefficient is close to -1, indicating that the second and quicker test could be used in place of the longer test-interview. O The correlation coefficient is close to 1, indicating that the second and quicker test could be used in place of the longer test-interview. O The correlation coefficient is close to 1, indicating that the second and quicker test could not be…
Example 4. Calculate Coefficient of Correlation from the following results : n= 10, ΣX- 100, ΣY - 150, Σ (Y-10- 180, Σ(Y-15)215 E(X – 10) (Y –- 15) = 60
A computer while calculating the correlation coefficient between the variables X and Y obtained the following results: N= 30, ΣΧ-120, ΣΧ600, ΣΥ-90, ΣΥ250, ΣΧΥ-356. It was, however later discovered at the time of checking that it had copied down two pairs of observations: X Y wrongly as while the correct values are X Y 8 10 8 12 10 8 12 7. Find the correct value of correlation coefficient between X and Y.
A7. Calculate Α correlation coefficient from the following data: N- 10, Σ X= 140, Σ Υ=150 Σ (X- 10)7Ξ 180, Σ (Y- 15)2215, Σ(Χ-10) (Υ-15)-69
11. What is the linear correlation coefficient, r, for the scatterplot below? r = 1 r = 0 r = -1 r = -0.51

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Example 17.4 In a problem involving three variables X₁, X₂ and X3, we find that r12 = 0.8, 13 = 0.6, 723 = 0.5 Find the values of coefficients of partial correlation 23.1 and 13.2.