Answered: 26 - x and 23 ; 88 76 ; 305 27 ; 105…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

26 -

x and

23 ; 88

76 ; 305

27 ; 105

64 ; 240

12 ; 30

51 ; 205

33 ; 120

60 ; 104

When regression analysis is performed according to the given x and y values (y = ax + b), which one is correlation coefficient

-0,997

B)	hiçbiri/none of them

-0,6790

0,2421

0.8718

Expert Solution

Step 1

The simple linear regression equation uses the straight line to relate the response variable with explanatory variable that is $y = a x + b$ , where y is response variable, x is explanatory variable, $a$ is slope and b is intercept.

The correlation coefficient is used to measure the linear relation between two variables. If the correlation coefficient is 1 or -1 that means the relation is perfectly linear and if it is 0 then there is not linear relation. The correlation coefficient is computed by $r = \frac{n (\sum x y) - \sum x \sum y}{\sqrt{[n \sum x^{2} - {(\sum x)}^{2}] - [n \sum y^{2} - {(\sum y)}^{2}]}}$ , where n is the sample size.