Specifications

86 AUTOSTAR CCD PHOTOMETRY
Table F-1. Sample Data.
N Data x
i
x
i
2
Data y
i
(x
i *
y
i
)
1 1.0 1.00 0.47 0.470
2 1.1 1.21 0.43 0.473
3 1.2 1.44 0.39 0.468
4 1.3 1.69 0.36 0.468
5 1.4 1.96 0.33 0.462
6 1.5 2.25 0.29 0.435
7 1.6 2.56 0.25 0.400
8 1.7 2.89 0.21 0.357
9 1.8 3.24 0.16 0.288
10 1.9 3.61 0.15 0.285
11 2.0 4.00 0.12 0.240
N =
11
Σ x
i
=
16.5
Σ x
i
2
=
25.85
Σ y
i
=
3.16
Σ (x
i *
y
i
) =
4.346
Calculations:
(Σ x
i
)
2
= 272.25
N = 11
Σ x
i
= 16.5
x
iavg
= Σ x
i
/ N = 16.5 / 11 = 1.5000
Σ y
i
= 3.16
y
iavg
= Σ y
i
/ N = 3.16 / 11 = 0.2873
Σ (x
i *
y
i
) = 4.346
Σ x
i
2
= 25.85
(Σ x
i
)
2
= 272.25
Slope:
b = [(11 * 4.346) – (16.5 * 3.16)] / [(11 * 25.85) – 272.25]
b = (47.806 – 52.140) / 12.10
b = –4.334 / 12.10 = –0.3582
Y-Intercept:
a = 0.2873 + (0.3582 * 1.5000) = 0.8246