A computer while calculating correlation coefficient between two variables x andy from 25 pairs of observations obtained the following results.N= 25, Σ 125, Σy = 100Σεν-508, Σ650, Σν.-%3D= 460It was, however, discovered at the time of checking that two pairs of observations were notcorrectly copied. They were taken as (6, 14) and (8, 6) while the correct values were (8, 12) and (6,8). Prove that the correct value of the correlation coefficient should be 2/3.

Answered: Image /qna-images/answer/eee147ba-1f8a-48d8-b2d3-0cef5098412f.jpg

Answered: A computer while calculating…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

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.
C and d pls
The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650 Choose answer from the following: a. 0.855 b.0.174
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
For the following pairs of data points (10, 100), (8, 120), (5, 200), (4, 200), (10, 90), (7, 110), and (6, 150), the value of bo is a. 186.9657 O b. 268.6957 С. 286.5769 O d. 168.6957
Attempt any three questions. Q1. The regression line between height (X) in inches and weight (Y) in Ibs of male students are: 2y – 5x = 17 7x + 3y = 21 Determine which is regression of Y on X and X on Y. Obtain also correlation coefficient 'r'. Q2. The following table gives the ages and blood pressure of 9 women. Age (X): 56 42 36 47 49 42 60 72 63 Blood Pressure(Y) 147 125 118 128 145 140 155 160 149 Find the correlation coefficient between X and Y. (i) Determine the least square regression equation of Y on X. Q3. Find out the regression coefficients of Y on X and of X on Y on the basis of following data: ΣΧ 50 X = 5. ΣΥ-6 , Y= 6, EXY = 350 Variance of X= 4, Variance of Y= 9 Q4. The equations of two regression lines between two variables are expressed as 2X – 3Y= 0 and 4Y– 5X-8 = 0. (i) Identify which of the two can be called regression line of Y on X and of X on Y. (ii) Find X and Y and correlation coefficientr from the equations
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.
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
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.
A sample of 20 ordered pairs (x,y) has a value for "r" of r = 0.485 Which of the following statements are true? At the 5% level of significance, a positive correlation exists At the 1% level of significance, a positive correlation exists At the 1% level of significance, a negative correlation exists At the 5% level of significance, a negative correlation exists
At question c it reads - competitor number 14(row12)

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS