Let u₁, U2, U3, U4, U5 E R and defineū =U1ՂԱԶU3ՂԱՃU5and =2u1 +32u2 +32u3 +32u4 +32u5 +3What is the correlation coefficient between u and ? Justify your answer.

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Answered: Let u₁, U2, U3, U4, U5 E R and define ū…

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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An educator wants to see the number of absences(X) a student in her class has affects the Student’s final GPA(Y)a) Find Correlation coefficient b) Draw a Scatter plot c) Find the Regression equation of Y on X d) Predict the student’s GPA when X = 6 x 4 5 2 8 3 10 7 y 2.5 2.3 4 2.1 3.3 1.7 2.3
Which of the following best describes the relationship between the variables on the scatter plot below? 11 10 15 4 3. 2 1 1234 56 7 8 9 10 11 12 13 O A. linear association OB. no association OC. non-linear association OD. linear and non-linear association
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and Row 1 the y-values. What effect does switching the variables have on r? Row 1 19 23 31 49 51 70 79 Row 2 156 155 190 141 202 191 181 Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. r= 0.430 (Round to three decimal places as needed.) Calculate the correlation coefficient r, letting Row 2 represent the x-values and Row 1 the y-values. (Round to three decimal places as needed.)
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Compute the value of the multiple correlation (R). You should use a computer to find the solution. Y X1 X2 X3 27.6 1 4 4 9.4 3 5 3 15.6 4 7 1 20.3 5 5 4 12.3 3 7 3 8.7 5 3 6 7.3 7 5 7 14.9 6 4 8 17.0 5 3 9 -0.8 4 2 0
Which of the following linear correlation coefficient suggest a perfect negative linear relationship between two variable value?A) r = 0.327 B) r = -0.721 C) r = 0 D) r = 1.6 E) r = -1
As a result of the research, it was concluded that there is no relationship between the two variables. What is the value of the correlation coefficient?A) 0,0B) 0,75C) 0,25D) 0,50
x y 10 8.04 8 6.95 13 7.58 9 8.81 11 8.33 14 9.96 6 7.23 4 4.26 12 10.84 6) The value of the correlation coefficient is: A) 0.633 B) 0.795 C) 1.266 D) -0.633
The table shows the fuel consumption, in litres per 100 km, for various speeds that a car is driven, in kilometres per hour. What is the linear correlation coefficient? 1- 0.400 2- 1.000 3- 0.993 4- 0.067
Which of the following scatter plots that true linear association?

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Let u₁, U2, U3, U4, U5 E R and define ū = U1 ՂԱԶ U3 ՂԱՃ U5 and = 2u1 +3 2u2 +3 2u3 +3 2u4 +3 2u5 +3 What is the correlation coefficient between u and ? Justify your answer.