1 00:00:00,920 --> 00:00:07,230 In this video, we will discuss one of the problems we may face, if not more than this problem is called 2 00:00:07,410 --> 00:00:08,730 Petros Clandestinity. 3 00:00:09,940 --> 00:00:14,560 If you remember in the lecture in which we found out the confidence interval of Bita. 4 00:00:15,900 --> 00:00:24,030 I told you that this dumb sigma squared, which is the variance in the error term, is helping us find 5 00:00:24,030 --> 00:00:26,100 out the confidence interval of beta. 6 00:00:27,930 --> 00:00:33,840 There was one underlying assumption regarding the Sigma squared, based on which we calculated the standard 7 00:00:33,840 --> 00:00:34,100 errors. 8 00:00:34,170 --> 00:00:35,730 Confidence intervals, etc.. 9 00:00:36,980 --> 00:00:40,730 The assumption is that this variance value, it's constant. 10 00:00:42,730 --> 00:00:49,150 Unfortunately, it is often the case that variances of the error terms are non constant. 11 00:00:50,530 --> 00:00:55,890 For instance, the variances of error terms may increase with the value of the response that is deemed 12 00:00:55,900 --> 00:00:59,120 by variable GraphicLy. 13 00:00:59,500 --> 00:01:05,080 We can plot Deidre's do against Y to identify the non constant variance of dieters. 14 00:01:07,290 --> 00:01:13,650 As you can see in this graph, this funnel like shape is suggesting non constant variance. 15 00:01:15,380 --> 00:01:18,170 This issue is known as a cadastre city. 16 00:01:19,190 --> 00:01:24,380 You can see that the magnitude of residuals tends to increase with defeated values. 17 00:01:24,590 --> 00:01:31,870 Why so variance at this point is limited within this range. 18 00:01:33,250 --> 00:01:38,430 Whereas variants here is larger as the boundaries are for the really. 19 00:01:40,210 --> 00:01:42,490 Now, how to handle heteros, cadastre city. 20 00:01:43,920 --> 00:01:49,110 When you faced this problem, where did variances increasing with larger footed values of why? 21 00:01:50,150 --> 00:01:52,370 We need to scale down these large values of a. 22 00:01:53,530 --> 00:02:01,170 So we can use functions like logo fly or under route way so that larger, well lives away are shut down. 23 00:02:02,450 --> 00:02:05,540 Thus leading to reduction in heteros congested city. 24 00:02:07,670 --> 00:02:10,280 You can see the graph of residuals against Longway. 25 00:02:11,830 --> 00:02:15,050 Do they do it now appear to have constant variants? 26 00:02:16,470 --> 00:02:20,640 Although there is some evidence of a slight non-linear relationship in the data. 27 00:02:23,200 --> 00:02:28,870 So this is how we identify, if that is heteros contested city in the model, and if there is, this 28 00:02:28,870 --> 00:02:29,740 is how we handle it.