The estimated regression equation when x = 4, the value of y is 11.4.
The estimated regression equation by computing the values of bo and bi using Equation 14.6 and Equation 14.7 (to 1 decimal). û + 2 e.
Table attached at the end of solution
Sum of x = 15
Sum of y = 43
Mean x= 3
Mean Y = 8.6
Sum of squares([tex]SS_{x}[/tex]) = 10
Sum of product (SP) = 28
Regression equation = [tex]y = bX+a[/tex]
[tex]b=SPISS_{x} =\frac{28}{10} =2.8[/tex]
[tex]a=M_{y}-bM_{x}=8.6-(2.8[/tex]×3)=0.2
y= 2.8X+0.2
Put x=4 in above equation we get predicted value of y is 11.4.
Therefore, the value of y is 11.4.
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