Question

Based on the data shown below, calculate the regression line (each value to three decimal places)

Y= _____ X+ ________
(Caution, make sure you have these entered in the correct order)

X	Y
1	18.4
2	21.5
3	23.8
4	29.3
5	31.1
6	33.7
7	37.2
8	37.9
9	40.8
10	43
11	46.9
12	51.3
13	52.5
14	56.3

Answer 1

The observation table is

	X	Y	X*Y	X2	Y2
	1	18.4	18.4	1	338.56
	2	21.5	43	4	462.25
	3	23.8	71.4	9	566.44
	4	29.3	117.2	16	858.49
	5	31.1	155.5	25	967.21
	6	33.7	202.2	36	1135.69
	7	37.2	260.4	49	1383.84
	8	37.9	303.2	64	1436.41
	9	40.8	367.2	81	1664.64
	10	43	430	100	1849
	11	46.9	515.9	121	2199.61
	12	51.3	615.6	144	2631.69
	13	52.5	682.5	169	2756.25
	14	56.3	788.2	196	3169.69
Sum =	105	523.7	4570.7	1015	21419.77

Based on the above table

Therefore, based on the above calculations, the regression coefficients (the slope m, and the y-intercept a) are obtained as follows:

Therefore, we find that the regression equation is: