ORDENAMOS LOS DATOS PARA PODER HALLAR LO SOLICITADO

XYXYX

17.067.046949

26.963.0434.747.61

35.560.033030.25

43.754.0199.813.69

55.958.0342.234.81

63.345.0148.510.89

75.264.0332.827.04

86.474.0473.640.96

94.264.0268.817.64

106.874.0503.246.24

116.482.0524.840.96

124.778.4368.4822.09

135.959.0348.134.81

143.747.0173.913.69

159.886.0842.896.04

168.692.0791.273.96

173.836.0136.814.44

188.976.0676.479.21

199.687.0835.292.16

209.989.0881.198.01

2110.092.0920100

227.682.0623.257.76

238.593.0790.572.25

247.882.0639.660.84

258.893.0818.477.44

267.982.0647.862.41

276.980.055247.61

287.476.2563.8854.76

293.754.0199.813.69

3011.094.01034121

318.685.073173.96

329.892.0901.696.04

=224.22360.617503.161721.26

N=32

MEDIAS 7.0062573.76875

A)

DIAGRAMA DE DISPERSIN

LA RECTA TIENE TENDENCIA A CRECER ESTO INDICA QUE SERA POSITIVO

PARA HALLAR LA RECTA DE REGRESIN CALCULAREMOS a - b

HALLAS A

REEMPLAZAMOS

a= 32(17503.16)-(224.2)(2360.6)

32(1721.26)-(224.2)

a=560101.12 - 529246.52

55080.32 - 50265.64

a=30854.6

4814.68

a=6.408442513

a=6.408

HALLAS B:

media de X=7.00625

media de Y=73.76875

REEMPLAZAMOS LOS DATOS

b=73.76875 - (6.4084) (7.00625)

b=73.76875 - 44.8988525

b=28.8698975

b=28.87

Y=6.408 (X) + 28.87

B)

Para hallarlo primero hallamos el coeficiente de determinacin con la siguiente frmula

R= (y -y ) - ( y - y )

(y - y )

Para lo cual completamos la tabla con los datos solicitados

XYXYX(y - y)

(y - y)

7.067.04694945.8159765645.239076

6.963.0434.747.61115.9659766101.711259

5.560.033030.25189.578476616.924996

3.754.0199.813.69390.80347662.01753616

5.958.0342.234.81248.653476675.29379984

3.345.0148.510.89827.640976625.16426896

5.264.0332.827.0495.428476563.27031056

6.474.0473.640.960.05347656216.96451344

4.264.0268.817.6495.4284765667.50922896

6.874.0503.246.240.0534765622.41989136

6.482.0524.840.9667.75347656146.8653134

4.778.4368.4822.0921.44847656376.8412738

5.959.0348.134.81218.115976658.93939984

3.747.0173.913.69716.565976631.13193616

9.886.0842.896.04149.603476632.13075856

8.692.0791.273.96332.378476664.33964944

3.836.0136.814.441426.478477296.5421762

8.976.0676.479.214.97847656298.03376144

9.687.0835.292.16175.065976611.47041424

9.989.0881.198.01231.990976610.95080464

10.092.0920100332.37847660.9025

7.682.0623.257.7667.7534765619.61781264

8.593.0790.572.25369.840976693.354244

7.882.0639.660.8467.753476569.90738576

8.893.0818.477.44369.840976659.90140816

7.982.0647.862.4167.753476566.28404624

6.980.055247.6138.8284765647.81445904

7.476.2563.8854.765.9109765620.00795664

3.754.0199.813.69390.80347662.01753616

11.094.01034121409.303476628.708164

8.685.073173.96126.14097661.04284944

9.892.0901.696.04332.37847660.10995856

224.22360.617503.161721.267932.488751753.42869

Para hallar y haremos la siguiente tabla

Y(x)=6.408 (X) + 28.87

7.073.726

6.973.0852

5.564.114

3.752.5796

5.966.6772

3.350.0164

5.262.1916

6.469.8812

4.255.7836

6.872.4444

6.469.8812

4.758.9876

5.966.6772

3.752.5796

9.891.6684

8.683.9788

3.853.2204

8.985.9012

9.690.3868

9.992.3092

10.092.95

7.677.5708

8.583.338

7.878.8524

8.885.2604

7.979.4932

6.973.0852

7.476.2892

3.752.5796

11.099.358

8.683.9788

9.891.6684

Ahora reemplazamos los datos en frmula

R= (y -y ) - ( y - y )

(y - y )

R=7932.48875 - 1753.42869

7932.48875

R=6179.060061

7932.48875

R=0.778956045

EL COEFICIENTE DE CORRELACIN SERIA

r= R

r= 0.77895045

RPTA r=0.882581696