Consider a regression model in which the response variable Y, is linked to theexplanatory variable X, by the following equation:Y;= a + bX;+ e;, i = 1, ., nassuming that the error terms e are independent and Normally distributed withexpectation 0 and variance o?. In a sample of size n = 10, the following statistics havebeen observed:x, = 141,= 127,i=1> x = 2,014, v = 1,629,xy= 1,810.i=1i=1(i)Calculate values for Sy, Sy, and Sy.Write down, using your answers to part (i), the value of Pearson's correlationcoefficient between the variables X, and Y,.(ii)(iii)Calculate estimates of the parameters a and b in the regression model.

Given data : i) SSXX=∑i=1nXi2−1n(∑i=1nXi)2=2014−1412/10=25.9…

x; = 141, y, = 127, > = 2,014, = 1,629, Σ xy= 1,810. (i) Calculate values for S, Sy, and Sy. (ii) Write down, using your answers to part (i), the value of Pearson's correlation coefficient between the variables X, and Y,. (iii) Calculate estimates of the parameters a and b in the regression model.

x; = 141, y, = 127, > = 2,014, = 1,629, Σ xy= 1,810. (i) Calculate values for S, Sy, and Sy. (ii) Write down, using your answers to part (i), the value of Pearson's correlation coefficient between the variables X, and Y,. (iii) Calculate estimates of the parameters a and b in the regression model.

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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