A computer while calculating the correlationcoefficient between the variables X and Yobtained the following results:N = 30, 2Y = 120, X = 600, EY= 90, EY²= 250, EXY%D= 356.%3DIt was, however later discovered at the time ofchecking that it had copied down two pairs ofobservations:X Y8 1012 7Its is wrongly as while the correct values areX Y8 1210 8Find the correct value of correlationcoefficient between X and Y.

Answered: Image /qna-images/answer/667b0749-d76a-468a-8ab9-36ad5d3d114c.jpg

Answered: A computer while calculating the…

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 computer while calculating correlation coefficient between two variables X and Y from 25pairs of observation obtained the following results: n=25, 2X=125, EX2 = 650, Y=100,Y2= 460, 2XY=508. But on subsequent verification it was found that he had copied downtwo pairs as (6,14) and (8,6) while the correct values were (8,12) and (6,8). Obtain the correctvalue of correlation coefficient?
A researcher finds a correlation of r x y = + 0.40 with a sample of n = 25 bi-variate observations. Given a null hypothesis of H0: ρ x y = 0 and α = 0.05 , the researcher should: cant tell from the information given reject the null hypothesis fail to reject the null hypothesis
In two sets of variables X and Y with 50 observations each, the following data were observed X = 10, SD of x = 3, y =6 , SD of x = 2 Co efficient correlation between X and Y is 0.3 . however on subsequent verification it was found that one value of X (=10) were in accurate and hence weeded out. With remaining 49 pairs of values, how is the original value of correlation coefficient affected.
Which of the scatter diagrams below suggests a strong positive linear relationship between the x and y variables?
Imagine a study where all our data (x, y) falls perfectly on a flat and straight horizontal line. If we calculated the correlation coefficient r for this data, what would it be? What would that mean for our hypotheses?
A set of n = 5 pairs of X and Y values has SSX = 10, SSY = 40 and Sum of product ()= 10. For these data, the Pearson correlation is _____.
The following is a correlation matrix among family size X weekly grocery bill Y and income Z for a random sample of 50 families x. y. z x. 1.00. .60. .20 y. .60. 1.00 .30 z. .20. .30. 1.00 Which of the correlations are significant at the .05 alpha level? Calculate the partial correlation between family size and grocery bill holding income constant and then determine if this partial correlation is significant. Find the critical value using the table that is attached see the attached information
A park ranger is searching for bears in a region of the park where on average there are 5 bears per square mile. The bears are solitary independent creatures, so it is reasonable to assume that the numbers of bears in disjoint regions are independent unknowns and that the number expected in any region is proportional to the area of the region. The ranger can also assume that in a very tiny region, say a square inch, it is impossible to find more than one bear. What is the variance in the number of bears he will find in a 5 square mile region of the park?
The Office of the University Registrar of Seoul University would like to know if the degree programs in College of Science and Math are equally preferred by students. Furthermore, the office would like to know if such degree programs are related to the gender of the students. The test claim that the proportions of the students enrolled are equal in each degree program at alpha=0.05 Using the data on the number of currently enrolled students in each gender (M of F) in each of the four degree programs, find the: a. Table showing the observed and expected values b. Chi-square critical Value c. Chi-square test statistic d. Accept or Reject the null hypothesis?
Imagine that there is a correlation of r = 0.65 between variable X and variable Y. Based on the correlation between these two variables (and only these two variables), what is a person's predicted value on variable Y, when his X value on variable X is a z score of 1.5? Please provide your answer as a z score with a minimum of three decimal places.
Here is a bivariate data set. x y 52.1 29.4 74.3 -20.5 35.4 36.8 23.8 22.5 61.1 -28.6 71.4 1.3 46 26.3 51.8 9.8 68.2 12.2 67.6 -5.4 42.5 23.1 75.9 -29.7 55.8 14.2 33.1 77.2 46.1 33.1 43.5 36 42.4 33.8 63.1 7.7 Find the correlation coefficient and report it accurate to three decimal places.r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.R² = %
Compute the correlation coefficient, r for the data set: (0, −2) (1, 4) (2, 2) (Hint: Use your answers from Problem 2, since it is the same data set and recall that r = (sigma-sign)ZxZy/n-1 where zx is the z-score for x-coordinate and zy is z-score for y-coordinate.)

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