For the regression equation and e the number of kilowatt-hours, in thousands, for a six-room house is mathematically given as
Y = 1.33-0.667X and 5.3332
Generally, the equation for the standard deviation is mathematically given as
[tex]s[/tex]ₓ =[tex]\sqrt{\frac{\sum\(X-\=X)^2}{n-1} }[/tex]
= [tex]\sqrt{\frac{66.9}{10-1} }[/tex]
= 2.72
[tex]s_y[/tex] = [tex]\sqrt{\frac{36.4}{10-1} }[/tex]
= 2.01
therefore correlation coff
r = [tex]\frac{44.6}{(10-1)(2.72)(2.01)}[/tex]
r = 0.9038
In conclusion the regression equation is given
b = r_sy/sx
b = (0.9038)(2.01/2.72)
= 0.667
intercept
a = 7.4-0.667(9.1)
a = 1.33
The regression equation is
Y = 1.33-0.667X
(b) number of kilowatts x = 6 house
Y = 1.33-0.667X
Y = 1.33-0.667(6)
= 5.3332
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