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-460ΣΧΥ-508correctlyProve that theIt 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.

Given that We have to find the corrected correlation coefficient

Answered: ample 8.10). A computer while…

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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2. Find rank correlation co-efficient for the following đata and give your comments. Marks in Accounts (x): 84 56 89 58 59 67 74 78 Marks in Maths (y): 38 69 56 58 63 78 87 77 CS Scanned with CamScanner
Q11. Simple linear correlation coefficient r can provide the direction, but not the strength of association between two continuous variables. a. TrueB. FalseC. None of the above
Compute the correlation coefficient for the following set of coordinates. Use the table provided to calculate your answer round to the nearest hundredth.
C and d pls
Suppose that for variables x and y, we find that the correlation coefficent r= .750. Assuming that α=.05α=.05, what is the minimum number of data points n, that is requried so that a signficant linear correlation is present? a. n=6 b. n=7 c. n=8 d. It cannot be determined from the given data
Q5. (a) For what range of values can the coefficient of correlation of a sample of 52 pairs be considered significantly different from zero at the 1% level of significance? (b) Do the following for the data Days after emergence, X Average dry matter Conventional, Y, Yield (g'plant) Improved, Y2 9. 35 52 170 270 49 50 71 180 91 250 270 3 10 104 Compute the coefficients of correlation between X and Y1, Yi and Y2, and X and Y2 Compute coefficients of determination between X and Y 1, and X and Y2. Interpret these coefficients. ii) iii) Test the hypothesis that the population correlation coefficient between Yi and Y: is 0.80 against the alternative that it is not. |Simple Regression & Correlation]
For numbers 11 and 12: In a study of sugarcane, the researchers obtained a Pearson correlation coefficient between yield and plant height of sugarcane equal to 0.80 while that between stalk diameter and plant height of sugarcane equal to -0.94. 11. Which of the following is (are) TRUE about the results obtained in the study? 1. For every unit change in the stalk diameter, there is a 0.80 unit change in plant height. II. The linear relationship between plant height and yield is stronger than the linear relationship between plant height and stalk diameter. A. I only B. II only C. Both I and II A. Correlation Analysis B. Simple Linear Regression Analysis D. Neither I nor II 12. If the researchers further wanted to determine if plant height sugarcane is linearly dependent on the yield and stalk diameter, which of the following analysis would be most appropriate to use? C. Multiple Linear Regression Analysis D. Quadratic Regression Analysis
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.
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
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.
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.
5. Use the following table to answer the question given below. Coefficient of correlation Dimension Sig (p) with variable F A -0.053 0.000 B 0.821 0.000 C -0.755 0.000 D 0.255 0.000 E -0.632 0.000 7 Comment on the correlation coefficient values (i.e. the relationship and its strength) given in the above table.

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