A computer while calculating the correlation coefficient between the variables X and Y obtained thefollowing 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 ofobservations:X Y wrongly as while the correct values are XY810812108127.Find the correct value of correlation coefficient between X and Y.

Answered: Image /qna-images/answer/e72f0701-369e-46a5-937e-25fbfd3583a0.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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1. If someone owns an electric car it is represented by a one and if they don’t it is represented by a zero. If someone owns an electric car and their yearly salary in pounds for four people are (0,80000), (0, 17000), (0, 37000) and (1, 58000) calculate the correlation coefficient.
A sample of 30 ordered pairs produces a linear correlation coefficient of r-0.026 Which of the following statements would be true? No regression line could be calculated from these ordered pairs Although no linear correlation exists, there might be a strong non-linear correlation A negative linear correlation exists A positive linear correlation exists The regression line would not pass through the point (x, y)
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
A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of calories per serving is plotted on the x-axis against the number of milligrams of sodium on the y-axis. The value of r for the resulting scatterplot is 0.83. How would the value of the correlation coefficient, r, change if sodium was plotted on the x-axis and calories plotted on the y-axis? The value of r would increase. The value of r would not change. The value of r would change to –0.83. The value of r could increase or decrease, depending of the strength of the new relationship.
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

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