Question

A set of X-Y data pairs are

X	Y
-0.14	0.69
1.91	-0.25
2.33	2.29
3.68	3.72
3.51	3.23
4.09	4.76
6.27	7.88
6.32	8.59
7.42	8.73
8.72	8.45
10.35	10.67
10.09	11.29

Compute the intercept β₀ regression coefficient for this data.

Answer 1

Solution :

X	Y	XY	X^2	Y^2
-0.14	0.69	-0.0966	0.0196	0.4761
1.91	-0.25	-0.4775	3.6481	0.0625
2.33	2.29	5.3357	5.4289	5.2441
3.68	3.72	13.6896	13.5424	13.8384
3.51	3.23	11.3373	12.3201	10.4329
4.09	4.76	19.4684	16.7281	22.6576
6.27	7.88	49.4076	39.3129	62.0944
6.32	8.59	54.2888	39.9424	73.7881
7.42	8.73	64.7766	55.0564	76.2129
8.72	8.45	73.684	76.0384	71.4025
10.35	10.67	110.4345	107.1225	113.8489
10.09	11.29	113.9161	101.8081	127.4641

n	12
sum(XY)	515.76
sum(X)	64.55
sum(Y)	70.05
sum(X^2)	470.97
sum(Y^2)	577.52
Numerator	1667.45
Denominator	1733.31
r	0.9620
r square	0.9254
Xbar(mean)	5.3792
Ybar(mean)	5.8375
SD(X)	1.4296
SD(Y)	1.7301
1	1.1229
0	-0.2029

0 = -0.2029