Question

2. Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. Based on the data shown below, calculate the regression line (each value to two decimal places).

Y = ____ x + _____

x	y
3	12.12
4	17.26
5	16.3
6	21.04
7	20.98
8	24.52

4. Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between X and Y.

x	y
2	9.28
3	11.32
4	11.66
5	9.3
6	9.94
7	8.98
8	10.02
9	12.66
10	11.2
11	10.94
12	13.18
13	11.62
14	11.46
15	13
16	13.84
17	13.28

r = ____

Answer 1

Question 2

	X	Y	X * Y
	3	12.12	36.36	9	146.8944
	4	17.26	69.04	16	297.9076
	5	16.3	81.5	25	265.69
	6	21.04	126.24	36	442.6816
	7	20.98	146.86	49	440.1604
	8	24.52	196.16	64	601.2304
Total	33	112.22	656.16	199	2194.5644

Equation of regression line is


b = 2.23

a =( 112.22 - ( 2.2257 * 33 ) ) / 6
a = 6.46
Equation of regression line becomes

Question 4

	X	Y	X * Y
	2	9.28	18.56	4	86.1184
	3	11.32	33.96	9	128.1424
	4	11.66	46.64	16	135.9556
	5	9.3	46.5	25	86.49
	6	9.94	59.64	36	98.8036
	7	8.98	62.86	49	80.6404
	8	10.02	80.16	64	100.4004
	9	12.66	113.94	81	160.2756
	10	11.2	112	100	125.44
	11	10.94	120.34	121	119.6836
	12	13.18	158.16	144	173.7124
	13	11.62	151.06	169	135.0244
	14	11.46	160.44	196	131.3316
	15	13	195	225	169
	16	13.84	221.44	256	191.5456
	17	13.28	225.76	289	176.3584
Total	152	181.68	1806.46	1784	2098.9224

r = 0.728