Answer:
ŷ = 30.61471 + 0.742098x
Solution:
The regression line is given as below:
ŷ = a + bx
Where
b = (∑XY – n*Xbar*Ybar)/(∑X^2 – n*Xbar^2)
a = Ybar – b*Xbar
From given information, we have
n = 10
∑x = 683
∑y = 813
∑x^2 = 47405
∑y^2 = 66731
∑xy = 56089
Xbar = ∑x/n = 683/10 = 68.3
Ybar = ∑y/n = 813/10 = 81.3
b = (∑XY – n*Xbar*Ybar)/(∑X^2 – n*Xbar^2)
b = (56089 - 10*68.3*81.3)/( 47405 - 10*68.3^2)
b = 0.742098
a = Ybar – b*Xbar
a = 81.3 - 0.742098*68.3
a = 30.61471
ŷ = a + bx
ŷ = 30.61471 + 0.742098x
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