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Statistics Group Project

Table of ContentsTASK 1............................................................................................................................................3(a) Survey method..................................................................................................................3(b) Sampling method for selecting a sample:.........................................................................3(c) Determination of the dependent and independent variables and identification of the datatype:........................................................................................................................................4(d) Issues................................................................................................................................4(e) Frequency histogram........................................................................................................5(f) Scatter plot :.......................................................................................................................7(g) Equation of estimated fitting line :...................................................................................8(h) Summary........................................................................................................................11(i) Interpretation:..................................................................................................................13TASK 2..........................................................................................................................................13(a) Estimate errors................................................................................................................13(b) Coefficient......................................................................................................................13(c) Attuned coefficient of resoluteness for grade of exemption:..........................................14(d)........................................................................................................................................15(e).........................................................................................................................................15(f) Relation between tallness of father and son....................................................................16(g) Relation between tallness of Mother and son:................................................................17

TASK 1(a) Survey methodThe survey method may be in two forms such as questionnaire and interviews. There willbe questionnaire method was select to conduct a survey. Questionnaire contains a number ofquestions in sequence about various aspects. These questionnaire are presented to therespondents and collected their reviews through these questions. The questionnaire may be inform of printed paper or electronic. It may be emailed to various respondents if physicallydistribution is not possible. It also provide choice of answers to the respondents so that they canmake easy decision while filling up the questionnaire. Questionnaire may be of various typessuch as customer satisfaction questionnaire, product use satisfactory questionnaire, companycommunication evaluation questionnaire, etc.. on the other hand it contain some specificcharacteristics such as uniformity, exploratory, questions sequencing, etc..(b) Sampling method for selecting a sample:There are two types of sampling methods such as probability and non-probability.Probability based techniques are more useful and reliable. Following are the probability basedtechniques:Random sampling: As the name indicate that method is very simple which based ontotally selection of sample from individuals through automated process. The sample isselected on random basis.Stratified sampling: This type of sampling method used when there was a large size ofpopulation. According to that sampling technique the whole population are divided intosmall strata and then sample is chosen from each group.Cluster sampling: that type of method contains the random selection of samples fromgeographical spread variables.Probability based sampling methods are more reliable because these provides the total populationbased sample which present the guaranteed results based on whole population.There are some specific steps to conduct probability sampling, which are as follows:1.choosing of interested population carefully.2.Determination of appropriate sample frame.3.Selection of sample according to sample frame and start up of survey.

(c) Determination of the dependent and independent variables and identification of the data type:The data are given for the preparation time and marks of students.The values whichdoes not consider by researcher is known as dependent variable.Independent variable are thosevalues which can be manipulated in experiment. Both the variables are important for theinterpretation of results, but the data given for the preparation time are independent in nature andmarks of the students are dependent.Why? -The data for marks of the students are dependent and data for preparation time isindependent because the marks of students depends on the preparation of students. As the morepreparation students done they get more marks and if they give less time to their preparation thenthey get less marks. So the data of marks of students is depend on the data of preparation time.So that the dependent variables are marks of students and independent variables preparation ofdata.Data types :Variableis numerical in context to type of data.(d) Issues1.Lack of attention2.Dishonesty3.Differences in understanding and interpretation4.Problems in expressing felling and emotions5.Difficulty in analysing some questions6.Biasses7.Lack of personal relation with respondents8.Accessibility issuesExplanation of two cases:Following are the explanation of two cases from the list of issueswhich faced due to data collection with the help of questionnaire method:Dishonesty:The foremost problem with this method is that the respondents are nothonest every time. Most of the respondents answers without any truthfulness and properattention. So the whole survey goes in wrong direction.Differences in understanding and interpretation:most of the respondents interpret thepresented questions in wrong way so that answers were fluctuate according to distinct point ofview of respondents and researcher.

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