X Y Y² XY

AUSTRALIA 2.5 211 6.25 44521 527.5

AUSTRIA 3.9 167 15.21 27889 651.3

BELGICA 2.9 131 8.41 17161 379.9

CANADA 2.4 191 5.76 36481 458.4

DINAMARCA 2.9 220 8.41 48400 638

FINLANDIA 0.8 297 0.64 88209 157.6

FRANCIA 9.1 71 82.81 5041 646.1

ISLANDIA 0.8 211 0.64 44521 168.8

IRLANDA 0.7 300 0.49 90000 210

ITALIA 7.9 107 62.41 11449 845.3

PAISES BAJOS 1.8 167 3.24 27889 300.6

NUEVA ZELANDA 1.9 266 3.61 70756 505.4

NORUEGA 0.8 227 0.64 51529 181.6

ESPAÑA 6.5 86 42.25 7396 559

SUECIA 1.6 207 2.56 42849 331.2

SUIZA 5.8 115 33.64 13225 667

REINO UNIDO 1.3 285 1.69 81225 370.5ESTADOS UNIDOS 1.2 199 1.44 39601 238.8

ALEMANIA 2.7 172 7.29 29584 464.4∑ 57.5 3630 287.39 777726 8301.4

3.0263157895

191.0526315789

b = Sxy/SxxSSE

s

X²

X PROMEDIO Sxx

Y PROMEDIO Syy

Sxy

s²

(x-ẋ)

-0.5263157895 0.2770083102 14.68 215.5024

0.8736842105 0.7633240997 -29.315 859.369225

-0.1263157895 0.0159556787 -65.315 4266.049225

-0.6263157895 0.3922714681 -5.315 28.249225

-0.12631 0.0159542161 23.68 560.7424

-2.226315 4.9564784792 100.68 10136.4624

6.07368 36.8895887424 -125.315 15703.849225

-2.226315 4.9564784792 14.68 215.5024

-2.326315 5.4117414792 103.68 10749.5424

4.87368 23.7527567424 -89.315 7977.169225

-1.22631 1.5038362161 -29.315 859.369225

-1.126315 1.2685854792 69.68 4855.3024

-2.226315 4.9564784792 30.68 941.2624

3.47368 12.0664527424 -110.315 12169.399225

-1.426315 2.0343744792 10.68 114.0624

2.77368 7.6933007424 -81.315 6612.129225

-1.726315 2.9801634792 88.68 7864.1424-1.826315 3.3354264792 102.68 10543.1824-0.326315 0.1064814792 -19.052631579 363.0027700831

1.842105E-006 113.3766572716 5.227368421 95034.2905701

113.376657272 y = a + bx

95034.2905701 b -24.5940766414

-2788.39419829 a 3704.429442467

y = 3804.383599 - 24.57892848x-24.594076641426456.30995091556.25352652

39.68183527

(x-ẋ)² (Y-Ῡ) (Y-Ῡ)²

(x-ẋ)(Y-Ῡ)

-7.7263157895

-25.6120526316

8.2503157895

3.3288684211

-2.9910208

-224.1453942

-761.1232092

-32.6823042

-241.1923392

-435.2927292

35.94927765

-78.4816292

-68.3033442

-383.1990092

-15.2330442

-225.5417892

-153.0896142-187.52602426.2171594737-2788.3941983

y = 3804.383599 - 24.57892848x

gl = 19-2

(-32.44236492 < β < -16.71549204)

Inferencia de interseccion

a - (t(α/2)S)√(∑x²)/√(nSxx) < α < a + (t(α/2)S)√(∑x²)/√(nSxx)

gl = 19-2

intervalo de confianza del 95%

3704.4294424675

(-130.5365459< α < 7478.230324)

Hipotesis nulaH0: α=0

t= (3804.383599-0)/(39.68183527)(√(287.39/(19*113.3766573)))t = 262.987

Intervalo de confianza para β

Se trabajara con un α=0.05

t0.025 = 2.11

b - (t(α/2)S)/√Sxx < β < b + (t(α/2)S)/√Sxx

t0.025= 2.11

H1: α≠0

t = (a - a0)/S√(∑x²/nSxx)

10 3458.488676053 3184.58 3932.6011

11 3433.894599412 3167.86 3900.16

12 3409.30052277 3151.12 3867.738

13 3384.706446129 3134.4 3835.299

14 3360.112369488 3117.68 3802.877

15 3335.518292846 3100.65 3770.44

16 3310.924216205 3084.22 3738.017

17 3286.330139563 3067.49 3705.589

18 3261.736062922 3050.76 3673.159

19 3237.14198628 3034.032 3640.7349

20 3212.547909639 3017.3 3608.308

21 3187.953832998 3000.56 3575.8835

22 3163.359756356 2983.835 3543.459

23 3138.765679715 2967.100255 3511.0359

24 3114.171603073 2950.36 3478.61

25 3089.577526432 2933.6278 3446.1929

Intervalo de confianza para UY/X

X0 y = a + bx0

< uy/x <

< uy/x <

< uy/x <

< uy/x <

< uy/x <

< uy/x <

< uy/x <

< uy/x <

< uy/x <

< uy/x <

< uy/x <

< uy/x <

< uy/x <

< uy/x <

< uy/x <

< uy/x <