Table 8.2 Condition for s y = 1/s xy 1.00 x 10 4.00 x 10-² S₁ 3.13 x 10-² 9.77 x 10-¹ S₂ $3 45 2.22 x 10-2 8.89 x 10- S4 50 2.00 x 10-² 8.33 x 10 4 4 4 4 Σ y= = 0.113 Ex= = 0138 | Σ * = Σ x ²₁ = /=1 /=1 3.70 x 10-³ 4.94 x 10-3 /=1 /=1 Use linear regression to solve for the y intercept. Then solve for the focal length fusing the relation y intercept = S 25 32 s' 40 32 25 24 x = 1/s' 2.50 x 10-¹ 3.13 x 10-² 4.00 x 10-² 4.17 x 10-² x² 6.25 x 10 9.77 x 10 1.60 x 10³ 1.74 x 10

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Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
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Table 8.2
Condition for s
S
y = 1/s
x = 1/s'
XX
1.00 x 10-3
25
4.00 x 10-²
S₁
2.50 x 10-²
32
3.13 x 10-²
3.13 x 10-²
$₂
9.77 x 10-
$3
45
2.22 x 10-²
4.00 x 10-²
8.89 x 10-4
S4
50
2.00 x 10-²
4.17 x 10-²
8.33 x 10-4
4
4
4
4
Σ y = 0.113
Σ x = 0.138 | Σ xy=
Σ x² =
i=1
j=1
3.70 x 10-³
4.94 x 10-3
j=1
i=1
Use linear regression to solve for the y intercept. Then solve for the focal length fusing the
relation y intercept =
s'
40
32
25
24
6.25 x 10-4
9.77 x 10-
1.60 x 10-³
1.74 x 10-³
Transcribed Image Text:Table 8.2 Condition for s S y = 1/s x = 1/s' XX 1.00 x 10-3 25 4.00 x 10-² S₁ 2.50 x 10-² 32 3.13 x 10-² 3.13 x 10-² $₂ 9.77 x 10- $3 45 2.22 x 10-² 4.00 x 10-² 8.89 x 10-4 S4 50 2.00 x 10-² 4.17 x 10-² 8.33 x 10-4 4 4 4 4 Σ y = 0.113 Σ x = 0.138 | Σ xy= Σ x² = i=1 j=1 3.70 x 10-³ 4.94 x 10-3 j=1 i=1 Use linear regression to solve for the y intercept. Then solve for the focal length fusing the relation y intercept = s' 40 32 25 24 6.25 x 10-4 9.77 x 10- 1.60 x 10-³ 1.74 x 10-³
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