example 17.10 From a trivariate distribution, the following correlation coefficients are obtained."13 = 0.6.Show that 1- R23 = (1 – ri2 3) (1 – ri32), where R1.23 and r13,2 are multiple correlation coefficient aet12 = 0.7123 = 0.4.r13.2|partial correlation coefficient, respectively.

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Answered: are multiple correlation coefficient…

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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What is the relationship between the attendance at a major league ball game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 9 randomly selected games are shown below. Attendance 24 54 59 17 32 58 30 26 18 Runs 5 14 14 5 7 8 10 6 4 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:`H0: ` == 0`Ha:` ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. There is statistically significant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the regression line is useful. There is statistically insignificant…
What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places.
A computer while calculating the correlation co-efficient between the variables X and Y obtained the following values. N = 25 )X= 125 SX2 = 650 2y= 100 EY2 = 460 EXY = 508 It was, however, later on discovered at the time of checking that it had copied down two pairs of observations as : X Y 14 8 While actual values were Y 12 8 Obtained the correct value of correlation coefficient between X and Y.
The following information represents the scores that 14 students obtained (X) in Test-1 and in Test-2 (y) by 14 students: Ty-876. Ey? - 65850, Ex= 854, Ex2- 64222, and Exy - 64346 The sample correlation coefficient is: O 0.943 O 0.7968 O 0.8501 O 0.8034
O 0.029 QUESTION 15 The owner of Cypres Recordings investigated the relationship between sales (y) and the amount spent on advertising (x). A random sample of 3 Recordings gives the following information. (x1) = 17, (y1) = 26, x2= 20, y2 = 28, x3 = 32, y3=27 Calculate the correlation coefficient? (Round answer to three decimal places ex. 2.091)
Two pair misread values. A computer while calculating the correlation coefficient.between two variables x and y obtained the following constants : N=25, Ex=125, Ex=650, Ey-100, Ey=460, Exy=508. It was however later discovered at the time of checking that be had copied down two pairs of observations as (6, 14), (8, 6) while the correct values were (8, 12), (6, 8). Obtain the correct value of the correlation coefficient between x and y.
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The following results were obtained in a study of correlation coefficient between two variables X and Y : n=50, x =10, o,=3; y O, = 2; r. = 0.3. xy || However, on subsequent verification it was found that one value of X = 10 and one value of Y = 6 were inaccurate and hence weedėd out. With the remaining values how is the original value of correlation coefficient affected.
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A set of n = 5 pairs of X and Y scores has SSX = 18, SSY = 8, ∑X=5, ∑Y=15, SSCP = 3. What is the Pearson Product Moment correlation for these scores? answers: a) 18/12 = 1.50 b) 18/144 = .125 c) 3/12 = .25 d) 3/144 = .21
Q2&Q3&Q4 /Q3 Q3\ Use the following to answer the questions below. A researcher collected data on variables X any Y from each of ten subjects. The data for each of these as are the summary statistics and Pearson correlation between the two variables: X = 5 Y = 4 s = 10 s 9.11 SSx- 90 & = 3,16 SSy 82 cov = - 8. 77 . Sy -3.018 SCP -79 COVY r=-0.92 a. Calculate the slope coefficient of a linear equation regressing Y on X (predictsY fiom X). b. Caleulate the intercept coefficient for a linear equation regressıng Y on X c. State the regression equation based on the coefficients just calculated. 04 04 State the criticalt-Values for a test of the Pearson correlation under each ofthe
On the basis of observations made on 39 cotton plants, the totai correlation of yıeid of cotton (X,), number of bolls, 1.e., seed vessels (.X,) and height (X,) are found to be: ,= 0.8, r,, = 0.65 and r, = 0.7 23

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are multiple correlation coefficient and Crample 17.10 From a trivariate distribution, the following correlation coefficients are obtaineed. 12 = 0.7 Show that 1- R23 = (1 – ri23) (1 -ri3,2), where R1,23 partial correlation coefficient, respectively. 123 = 0.4. and r "13 = 0.6, 13.2