8:3 18. Coefficient of correlation between two points. From thefollowiag given sets of observations find the coefficient ofcorrelation :(a)y(b)698510250708710948find r=+1 or -1.Explain why you are not suprised ifIf another pair of values be supplied to (a) or (b), when would youstill expect r=+1 or -1.you

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Answered: 8:3 18. Coefficient of correlation…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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 major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim. H0:β1=0Ha:β1≠0 The test yielded a t-value of 3.34 with a corresponding p-value of 0.001. Which of the following is the correct interpretation of the p-value? If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. A If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater…
1. Move the slider so that the correlation coefficient is r = -0.9. At an x-axis value of 40, which of the following is the approximate range (lowest to highest) of the y-values?2. Now move the slider so that the correlation coefficient is r = 0.15. At an x-axis value of 40, which of the following is the approximate range (lowest to highest) of the y-values?
8/20 Compute the correlation coefficient and determine whether there is a linear relation between X and Y.
7/20 Compute the correlation coefficient and comment on the type of relation that appears to exist between X and Y.
T/F: An analysis was performed on data relating the number of weeks of experience in a job involving the wiring of electronic components and the number of components that were rejected during the past week for 12 randomly selected workers. The analysis is as follows: There is no apparent relationship between experience and rejects produced. True False
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical value(s) of r given that n = 20 and α = 0.05. Group of answer choices r = ±0.632 r = ±0.456 r = ±0.811 r = ±0.444
A researcher examined number of monthly meetings (2 or 4) on job satisfaction. If the t obtained for a correlated groups t-test was 2.50, df = 3, and the t critical = 2.353, what should s/he conclude?
12/20 Compute the linear correlation coefficient between the weight of a car and its miles per gallon. R =_. Round to three decimal places as needed.
We have obtain the following x-y-pairs of data: x 1.8 10 4.2 7 -8.3 y 6.3 9.6 7.4 -1.3 -1.6 Compute the correlation coefficient for this data and enter it to at least 2 decimal places.
Ten pairs of points yielded a correlation coefficient r of 0.864. If α = 0.05 , which of the following statements is correct if H0 :ρ = 0 and H1=p≠0 Reject H0 because P-value 0.0590>0.05=a Not reject H0 because P value 0.0295 < 0.05 = a Reject H0 because P value 0.0295 < 0.05 = a Not Reject H0 because P-value 0.0590>0.05=a
Ten pairs of points yielded a correlation coefficient r of 0.790. If alpha=0.05 which of the following statements is correct if H0 : p =0? ( Do not calculate a t-value) 1. Because 0.790 is greater than 0.632, the null hypothesis is not rejected.2. Because 0.790 is greater than 0.602, the null hypothesis is not rejected.3. There is no correlation between the variables.4. Because 0.790 is greater than 0.632, the null hypothesis is rejected. Also, is the second value in the answers just randomly used or are they calculated? I don't understand what I am comparing.

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