Part A
Consider the Simple Linear Regression model. If the COV[X,Y] = 2.4, VAR[X] = 1.2, X-bar = 9.6, and Y-bar = 23.4, then compute the slope coefficient Beta1. Provide your answer with three decimal places of precision, e.g. 0.001.
Part B
Consider the Simple Linear Regression model. If the COV[X,Y] = 2.4, VAR[X] = 1.2, X-bar = 9.6, and Y-bar = 23.4, then compute the intercept Beta0. Provide your answer with three decimal places of precision, e.g. 0.001.
In a simple linear regression model , the equation of the straight line is of the form :
y = a+bx
where a and b are coeffecients to be calculated such the sum of squares due to error is minimum.
The coeffecients a and b are evaluated using :
(1)
and, (2)
In Part A :
Cov(X,Y) = 2.4 , Var(X)=1..2 , =9.6 and =23.4
We are to find the slope coeffecient b which is found using equation (2) :
b = 2.4 /1.2
= 2 (Ans)
In Part B :
We are to find the intecept which is found by using equation (1) :
a = 23.4 - (2*9.6)
= 4.2 (Ans)
Part A Consider the Simple Linear Regression model. If the COV[X,Y] = 2.4, VAR[X] = 1.2,...
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