Question

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
1	14.64
2	13.38
3	14.82
4	19.36
5	19.7
6	20.34
7	21.98
8	23.32
9	23.86
10	25.7
11	28.64
12	28.88
13	30.32
14	32.16
15	33.8
16	32.34

Answer 1

X	Y	X⋅Y	X⋅X
1	14.64	14.64	1
2	13.38	26.76	4
3	14.82	44.46	9
4	19.36	77.44	16
5	19.7	98.5	25
6	20.34	122.04	36
7	21.98	153.86	49
8	23.32	186.56	64
9	23.86	214.74	81
10	25.7	257	100
11	28.64	315.04	121
12	28.88	346.56	144
13	30.32	394.16	169
14	32.16	450.24	196
15	33.8	507	225
16	32.34	517.44	256

y = 1.38 x + 12.23