Question

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

y = x +

x	y
4	31.84
5	31.2
6	28.26
7	24.52
8	25.28
9	21.34
10	21.9
11	17.86
12	15.92
13	14.78
14	11.04
15	11.1

Answer 1

The table given below ,

	x	y	x^2	xy
	4	31.84	16	127.36
	5	31.2	25	156
	6	28.26	36	169.56
	7	24.52	49	171.64
	8	25.28	64	202.24
	9	21.34	81	192.06
	10	21.9	100	219
	11	17.86	121	196.46
	12	15.92	144	191.04
	13	14.78	169	192.14
	14	11.04	196	154.56
	15	11.1	225	166.5
Total	114	255.04	1226	2138.56

From table ,

The slope of the regression equation is ,

The intercept of the regression equation is ,

Therefore , the regression equation is ,

y = a + bx = 40.16 - 1.99x