Compute the linear correlation coefficient between the two variables, rounding to three decimal places, and determinewhether a linear relation exists.Xy- 9- 15-7- 1304-3 -5 -6-4-7 - 11O A.r=0.881; no linear relation existsB. r=0.990; linear relation existsOC. r=0.792; no linear relation existsD. r=0.819; linear relation exists...-4- 6-2-2- 11-8- 13

Data given X: -9,-7,0,-3,-5,-6,-4,-2,-1,-8 Y: -15,-13,4,-4,-7,-11,-6,-2,1,-13

Answered: Compute the linear correlation…

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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The data below are the temperatures on randomly chosen days during the summer and the number of employee absences at a local company on those days. Test the claim, at the α = 0.05 level of significance, that a linear relation exists between the two variables, Apply classical and traditional approaches. Show step1-step3.
What is the answer a,b,c, and d?
Linear least squares Consider the relation between hours of study and quiz grade for three different students. -- Student 1 did not spend any time and received 5 in the quiz. P = (0, 5) -- Student 2 spent an hour studying and received 5 in the quiz. P2 = (1, 5) -- Student 3 spent two hours studying and received 8 in the quiz. P3 = (2, 8). We want to find a linear relation between hours of study and grade of the quiz y = mx + q where m and q are our unknowns, x represents the hours studied for the quiz and y the quiz grade. (a) Show that there is no line y = mx + q that passes through Pi , P2 and P3 using an inconsistent system of equations. Hint: Substitute the x and y values of P1, P,, P3 in the line equation and show that the 3x2 system with unknowns m and q has no solutions. (b) Write the system of equations for part a) in matrix form Ax = b where x = (m, q)" . (c) Compute (A' A)¯ using the determinant formula in Chapter 3.2 of the Kuttler textbook. (d) Compute x = (A" A)~!A" b and…
Consider the relation between hours of study and quiz grade for three different students. (i) Student 1 did not spend any time and received 5 in the quiz. P¡ = (0, 5) (ii) Student 2 spent an hour studying and received 5 in the quiz. P2 = (1, 5) (iii) Student 3 spent two hours studying and received 8 in the quiz. P3 : (2, 8). %3| We want to find a linear relation between hours of study and grade of the quiz y = mx + q where m and q are our unknowns, x represents the hours studied for the quiz and y the quiz grade. (4а Show that there is no line y = mx + q that passes through P , P and P3 using an inconsistent system of equations. Hint: Substitute the x and y values of P, P, P3 in the line equation and show that the 3x2 system with unknowns m and g has no solutions. (4b Write the system of equations for part a) in matrix form Aš b where i = (m, q)" . (4c Compute (AT A)-1. (4d Compute i (AT A)-' A™ b and find m = x1 and q = x2. (4e Plot the line obtained by replacing m and q and the…
Fit 1: y = 6.5x+3 Fit 2: y = 4.5x+5 x y 4 35 11 68 14 102 19 130 26 171 32 200 37 230 42 259 43 298 48 325 Determine which of the relations is the best fit for the data, using your preerred goodness of fit method with no inbuilt functions. Please provide steps taken.
Not a function Many to one One to many Function that's one to one

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