Business Statistics : Assignment Sample
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Added on 2020-01-07
Business Statistics : Assignment Sample
Added on 2020-01-07
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Business statistics
TABLE OF CONTENTSQuestion A Calculate the descriptive statistics from the data and display in a table. Be sure tocomment on the central tendency, variability and shape for Mark, raisedhands and GradeID.How would you interpret the mean of dummy variables such as Female or Math?...................3Draw a graph that displays the distribution of Student Marks. Be sure to comment on thedistribution. Does it appear normally distributed?....................................................................10Create a box-and-whisker plot for the distribution of the times that students have raised theirhands and describe the shape. Is there evidence of outliers in the data....................................10F) A school administrator believes that students enrol in a religion course as they believe it is a“sluff” class, or a class that students can consistently obtain a mean of more than 70. Test hisclaim at the 5% level of significance.........................................................................................23(G) Multiple linear regression...................................................................................................24(H) Coefficient estimate for raised hands..................................................................................25(I)Interpretation of slope coefficients........................................................................................25(J) R square and adjusted R square............................................................................................26(K) Statistical significance of model.........................................................................................26(L) Variables that can be taken in to consideration...................................................................26M) Predict the average marks of a student in Year 6 who has raised their hand 35 times,visited 40 resources, looked at 75 announcements, participated in 5 discussions, is a Female ina Math course. Discuss if it is appropriate to predict the marks of students under theseconditions. Show the predicted regression equation.................................................................26N) Do the results suggest that the data satisfy the assumptions of a linear regression: Linearity,Normality of the Errors, and Homoscedasticity of Errors? Show using scatter diagrams,normal probability plots and/or histograms and Explain...........................................................27O) Does this data provide information on the true population distribution of students inVictoria? Explain and if not, describe a sampling procedure that could lead to more accurateresults.........................................................................................................................................28
P) The school is looking to promote higher enrolment of girls into mathematic courses and islooking to interview five girls enrolled in a maths course. What is the likelihood that if theywould select none who had a mark at least a 90?......................................................................28
Question A Calculate the descriptive statistics from the data and display in a table. Be sure tocomment on the central tendency, variability and shape for Mark, raisedhands and GradeID.How would you interpret the mean of dummy variables such as Female or Math?MarksMean76.73333Standard Error0.800807Median80Mode92Standard Deviation17.5448Sample Variance307.8202Kurtosis-0.52198Skewness-0.70473Range65Minimum35Maximum100Sum36832Count480Largest(1)100Smallest(1)35Confidence Level(95.0%)1.573529Above mentioned results of the central tendency about the marks obtained by all thestudent shows that majority of students has gain marks in the range of 76 which is regarded asthe distinction marks. The minimum marks gained by students is 80 and mode of the students hasgained 92 that shows the ability of all the students due to the impact of course enrolled bystudents.Grade IdMean5.6Standard Error0.129657Median7Mode2Standard 2.840653
DeviationSample Variance8.069311Kurtosis-1.04107Skewness0.026977Range10Minimum2Maximum12Sum2688Count480Largest(1)12Smallest(1)2Confidence Level(95.0%)0.254768Grade Id of all the students shows stable position in relation to the various measures ofcentral tendency that includes both mean, median and mode. The changes incurred in the gradeId is less as compared to the mean of all grade of the students.Raised handMean46.775Standard Error1.404873Median50Mode10Standard Deviation30.77922Sample Variance947.3605Kurtosis-1.497Skewness0.026962Range100Minimum0Maximum100Sum22452Count480Largest(1)100Smallest(1)0Confidence Level(95.0%)2.760475
Most of the students in college raises their hand as this shows the interest of all thestudents towards he course they enrolled to as majority of students whether male of female raisedtheir hands in the class.VisitedresourcesMean54.79792Standard Error1.509889Median65Mode80Standard Deviation33.08001Sample Variance1094.287Kurtosis-1.4852Skewness-0.34244Range99Minimum0Maximum99Sum26303Count480Largest(1)99Smallest(1)0Confidence Level(95.0%)2.966824AnnouncementsViewMean37.91875Standard Error1.214632Median33Mode12Standard Deviation26.61124Sample Variance708.1583Kurtosis-1.00224Skewness0.399243Range98Minimum0Maximum98Sum18201
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