Problems 23 and 24 refer to the system of normal equations and the formulas for a and b given on page 473. 24. If x ¯ = 1 n ∑ k = 1 n x k and y ¯ = 1 n ∑ k = 1 n y k are the averages of the v and y coordinates, respectively, show that the point ( x ¯ , y ¯ ) satisfies the equation of the least squares line, y = ax + b.
Problems 23 and 24 refer to the system of normal equations and the formulas for a and b given on page 473. 24. If x ¯ = 1 n ∑ k = 1 n x k and y ¯ = 1 n ∑ k = 1 n y k are the averages of the v and y coordinates, respectively, show that the point ( x ¯ , y ¯ ) satisfies the equation of the least squares line, y = ax + b.
Solution Summary: The author explains how the coefficients of the least square line y=ax+b are obtained using the below formulas.
Problems 23 and 24 refer to the system of normal equations and the formulas for a and b given on page 473.
24. If
x
¯
=
1
n
∑
k
=
1
n
x
k
and
y
¯
=
1
n
∑
k
=
1
n
y
k
are the averages of the v and y coordinates, respectively, show that the point
(
x
¯
,
y
¯
)
satisfies the equation of the least squares line, y = ax + b.
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