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View Full Paper International Journal of Scientific and Research Publications, Volume 5, Issue 4, April 2015 1 ISSN 2250-3153 Regression Model for the People working in Fire Work Industry- Virudhunagar District Dr.R.Sophia Porchelvi1, P.Jamuna Devi2 (1)Associate Professor, Department of Mathematics ADM college for women (Autonomous) ,Nagapattinam [email protected], (2)Assistant Professor, Department of Mathematics, EGS Pillay Engineering College, Nagapattinam [email protected] Abstract: Fireworks industry is well known to be a recorded and implemented [17]. Frequent review and hazardous industry. Starting from the initial stage of updations should be followed [25]. Using chemical or manufacturing, storage and transportation, risk to life other hazardous substance at work place can put people’s and property is high. 90% of the Indian fireworks are health at risk causing diseases including asthma, situated in Virudhunagar district. Due to direct contact dermatitis or cancer. A worker’s skin may be exposed to with hazardous substances lead poisoning, ulcers, hazardous chemicals through direct contact, immersion damage to central nervous system are some major or splashes. The main danger of harmful dusts is that it problems faced by these people. This paper reviews the can be inhaled. They can also cause burns or eye damage hazards faced by the workers working in match box and due to eye splashes [26]. fireworks industry. Regression model is used to analyze There are around 750 factories and 80,000 the data collected. workers employed in Virudhunagar district. 90% of the Indian fireworks industry is situated in Virudhunagar Keywords: Fireworks industry, hazardous chemicals, district [2]. Fireworks are made of pyrotechnic chemical prediction equation, regression equation. which are capable of emitting heat, light, sound and gas [3]. Charcoal is the commonly used fuel in the industry Introduction: [22]. Oxidizing agents like chlorates and per chlorates Occupational health and safety is about preventing are used to make the firework burn. Reducing agents like people from being harmed by work or becoming ill from sulphur, regulators, colouring agents like strontium, work by taking adequate precautions and providing a barium, copper and binders are used to make the safe and healthy work environment [28].These incidents fireworks [4] [11] [12]. Flash powder mixture is a cause human suffering, loss of production and high combination of aluminium powder and potassium medical cost. According to Regulation of Hazardous chlorate. Sometimes potassium chlorate is replaced by chemical substance (1995) HSC means toxic, harmful, potassium perchlorate. Potassium nitrate, sulphur and corrosive, irritant substance where an occupational aluminium powder are mixed in 5:2:3 ratio with 2% exposure limit prescribed/not prescribed but which boric acid [10]. Aluminium powder and potassium creates a hazard to health [1]. Working with chemical or perchlorate are the two components of the pyrotechnic in a industry poses many risks including causing the industry mixed in 3:7 Other metal nitrates including following diseases, injuries- chemical burns, asthma, barium, strontium are also used [5]. All widely used allergies, irritant contact dermatitis, allergic contact flash powder mixtures are sensitive to shock, friction and dermatitis, skin infection, skin injuries, skin cancers, electrostatic discharge [27]. Modern pyrotechnic reproductive problems, even death [20]. Accidents and practices call for never to use sulphur in a mix ill health can ruin lives and affect business if output is containing chlorate salts [14]. This makes flash powder lost [21]. All risks in the workplace must be identified dangerous to handle as it can cause severe hearing and assessed for control measures [23]. The people who damage and amputation injury even when sitting in open might be harmed should be decided, risks must be [16]. Flash powder of any formulation should not be evaluated and precautionary measures should be www.ijsrp.org International Journal of Scientific and Research Publications, Volume 5, Issue 4, April 2015 2 ISSN 2250-3153 mixed in huge quantities by amateur pyrotechnicians milligram/square cm) and y= potassium perchlorate (in [24]. milligram/ square cm). x is independent variable while y Unsafe acts and unsafe conditions are the main reasons is the dependent variable. for these accidents [3]. Inhalation of aluminium dusts S.No Mass (x) Potassium causes pulmonary diseases [7]. The phosphorous used in perchlorate(y) match box industries also has severe effects on human. 1 161.8 82.4 There are several forms of phosphorous white, red and black phosphorous. White phosphorous is highly 2 106.5 51.5 dangerous. It causes skin burns. While burning it may 3 118.9 54.6 cause damage to liver, heart and kidneys [8]. Potassium 4 64.2 30.9 perchlorate affects the thyroid gland. A case of grave’s 5 89.4 47.2 disease with potassium perchlorate for 22 years without 6 100.8 46.3 ill effect is identified. Some studies suggest that has pulmonary toxic effects as well [9]. Workers exposed to 7 131.7 66.2 perchlorate were found to have a significant systolic 8 111.6 54.3 blood pressure rise when compared to the workers who 9 97.6 49.6 were not exposed to perchlorates. At a presentation it has 10 118.7 59.3 suggested that environmental exposure to perchlorate in 11 86.3 45.1 pregnant women with hypothyroidism may be associated with significant risk of low IQ in their children [10]. 12 238.4 100.3 Workers had cases of chronic headaches, dizziness and 13 54.2 25.9 ulcers due to high level of exposure of Mn during the 14 342.5 193.5 manufacturing process. Workers didn’t wear masks or 15 68.3 34.2 gloves while working, and hence respiratory tract was deducted as a possible source of entry of the metal into This data is analyzed for the presence of outliers. the body.[13] Elemental sulphur is non toxic but many simple sulphur derivatives cause damage to human. Outliers are unusually small or large data value. There Globally sulphuric substances can have the following are observations which are distinctly different from other effects on human health. Neurological effects and observation. It may occur due to mistake in coding, behavioral changes, disturbance to blood circulation, wrong entry or extraordinary event. The researcher must heart damage, effect on eye and eye sight, reproductive decide whether the unusual data should be represented in failure, damage to immune system, hearing defects. [8] the study or not. Outliers should be given careful Figure 1 below shows the composition and effects of attention to determine the reasons for large fluctuation chemicals used in fireworks. [15] [19] between observed and predicted response. [41]The box plot diagram can be used to detect whether the outlier is extreme outlier or mild outlier.[12] 54.2, 64.2, 68.3, 86.3, 89.4, 97.6, 100.8, 106.5, 111.6, 118.7, 118.9, 131.7, 161.8, 238.4, 342.5 Median, lower quartile and upper quartile are calculated. = 106.5, = 86.3, 푚푒푑푖푎푛 푀 = 131.7 퐿표푤푒푟 푞푢푎푟푡푖푙푒 퐿푞 = = 45.4 푈푝푝푒푟 푞푢푎푟푡푖푙푒 푈푞 1.5 = 68.1 3 = 136.2 퐼푛푡푒푟 푞푢푎푟푡푖푙푒 푟푎푛푔푒 푖푞푟 푈푞 − 퐿푞 + 1.5 = 131.7 + 68.1 = 199.8 ∗ 푖푞푟 푎푛푑 ∗ 푖푞푟 1.5 = 86.3 68.1 = 18.2 푈푞 ∗ 푖푞푟 Case study on presence of potassium perchlorate in Therefore 238.4 and 342.5 are the outliers in the upper 퐿푞 − ∗ 푖푞푟 − fireworks: end and there are no outliers in the lower end. Samples are collected from 15 different fire work + 3 = 131.7 + 136.2 = 267.9 industries and the quantity of potassium perchlorate are Therefore 342.5 is the extreme outlier and 238.4 is the measured and tabulated where x= mass of firework (in 푈푞 ∗ 푖푞푟 mild outlier. www.ijsrp.org International Journal of Scientific and Research Publications, Volume 5, Issue 4, April 2015 3 ISSN 2250-3153 The scatter diagram (figure 2) of the independent variable x is shown below. Case (ii): All the samples except mild outlier (except 238.4)* are considered for getting the prediction x equation by regression formula: 400 ∗ ∗ 15 = 1265.3 , 15 = 652.5 300 � 푥푖 � 푦푖 푖=4∗ 푖=4 ∗ 200 15 = 208046.01 , 15 = 111434.3 x 2 푖 푖 푖 � 푥= 0.58 = �7.63푥 푦 100 푖=4 and 푖=4 The regression equation is = + = 7.63 + 0 0∴.58푏 푎 − 푖 푖 0 25 50 75 100 125 150 175 200 Now use the first three observations푦 푎 to푏푥 find predicted− 푥푖 values. Finally the decision maker decides whether to include or 161.8 , exclude the outlier point by analyzing the errors. By this = 86.54 82.4 푤ℎ푒푛 푥1= 푡ℎ푒 푝푟푒푑푖푐푡푒푑 푣푎푙푢푒 표푓 푦1 method we get the prediction equations with better 106.5 , = 푤ℎ푖푙푒 푡ℎ푒 표푏푠푒푟푣푒푑 푣푎푙푢푒 푖푠 accuracy. 54.35 51.5 푤ℎ푒푛 푥2= 푡ℎ푒 푝푟푒푑푖푐푡푒푑 푣푎푙푢푒 표푓 푦2 Case (i): All the 12 samples are included for getting the 118.9 , = 61.57푤ℎ 푖푙푒 푡ℎ 푒 표푏푠푒푟푣푒푑 푣푎푙푢푒 푖푠 54.6 prediction equation by regression formula: 3= 3 푤Fromℎ푒푛 the푥 observed푡 ℎand푒 푝푟푒푑푖푐푡푒푑 predicted values,푣푎푙푢푒 표푓 errors푦 or 푤ℎ푖푙푒 푡ℎ푒 표푏푠푒푟푣푒푑 푣푎푙푢푒 푖푠 15 = 1503.7 , 15 = 752.8, residues are calculated. = 4.14, = 2.85, = 6.97 � 푥푖 � 푦푖 푖=4 푖=4 1 2 3 15 = 264880.6 , 15 = 135345.8 푒Case (iii): All푒 the samples푒 except extreme outlier (except 2 푖 푖 푖 342.5)* are considered for getting the prediction � 푥 � 푥 푦 푖=4 푖=4 equation by regression formula: = 15 15 15 푛 ∑푖=4 푥푖푦푖 − �∑ 푖=4 푥푖 ∗ ∑푖=4 푦푖� 2 ∗ ∗ 푏 15 2 15 15 = 1161.2 , 15 = 559.3, 푛 ∑푖=4 푥푖 − �∑푖=4 푥푖� = 0.54 � 푥푖 � 푦푖 푖=4 푖=4 = ∗ ∗ ∴ 푏 15 15 15 = 147574.3 , 15 = 69072.08 ∑푖=4 푦 푖 − 푏 ∑푖=4 푥푖 2 푖 푖 푖 푎 �=푥0.40 = 8.48 � 푥 푦 = 4.49 푛 푖=4 , 푖=4 The regression equation is = + = 8.48 + 푏 푎 The∴ 푎 regression− equation is = + = 4.49 + 0.40 푦푖 푎 푏푥푖 0.54 Now use the first three observations to find predicted 푦푖 푎 푏푥푖 − 푖 Now use the first three observations to find predicted values.푥 푥푖 values.
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