# stat .4 time series

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### Slide 1:

4-1 SLIDES PREPARED By K.BARANIDHARAN.M.com.,M.B.A.,M.Phil.,Ph.D. IDHAYA COLLEGE FOR WOMEN BHARATHIDASAN UNIVERSITY TAMILNAUD STATISTICS for B.com., (TIME SERIES ANALYSIS’04) 12/3/2010 K. BARANIDHARAN

### baranibarani50@yahoo.comdharanbarani21@gmail.com :

baranibarani50@yahoo.comdharanbarani21@gmail.com 12/3/2010 2 K. BARANIDHARAN

### Time series analysis :

Time series analysis LEAST SQUARE 1.Fit a straight line trend to the data through 1994 only. 2.Use your result in (a) to estiamte production in 1996 and compare with the actual production.

### 4)The following data related to number of passenger car in million sold form 1989 to 1996 :

4)The following data related to number of passenger car in million sold form 1989 to 1996

### Slide 5:

12/3/2010 K. BARANIDHARAN 5

### (a) The equation of the Straight line trend :

(a) The equation of the Straight line trend Yc = a + bx y=Na+bx xy=ax+bx2 47.8=8a-12b -67.4=-12a+60b Multiplying Eq. (i) by 3 and Eq. )ii) by 2 143.4=24a-36b -134.8=-24a+120b 8.6 = 84b 84b=8.6; b = 8.6 / 84 =.102 Putting the value of (b) in Eq. (i) 47.8=8a-12x.102 8a-1.224 = 47.8 Or 8a=47.8+1.224 8a = 49.024 a = 6.128 Thus, the required equation is Y = 6.128 + .102x

### Estimate for 1996 :

Estimate for 1996 For 1996 x is 2 Y = 6.128 +.102(2) = 6.128 + .204 = 6.332 Thus, the estimate sale for 1996 is 6.332 million cars.

### THANK YOU :

THANK YOU 12/3/2010 K. BARANIDHARAN 8