Calculate least squares estimates of the slope and intercept to

Barbara Schroder

Barbara Schroder

Answered question

2021-11-26

Calculate least squares estimates of the slope and intercept to the following data:
x2791512y132123141521

Answer & Explanation

Sarythe

Sarythe

Beginner2021-11-27Added 11 answers

Step 1
As per given by the question,
There are given that the value of x and y.
Now,
Calculate the least squares estimates.
So,
y=b0+b1X, so
b1=r×Sys,b0=yb1X
Step 2
Now,
First calculate,
X=2+7+9+1+5+126
=6
Y=13+21+23+14+15+216
=17.83
Now, Sx=(xix)n1
=1.09
Step 3
Then, Sy=(yiy)n1
=1.88
Now, r=15(61.09)(17.831.88)
=10.428
Step 4
Then put the value in b1 and b2.
So, b1=rSySx
=10.428(1.881.09)
=17.98
b0=Yb1X
=17.8317.98(6)
=90.05
Step 5
Now,
Hence, the equation is,
y=b0+b1X
=90.05+17.98X
=17.98X90.05

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