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Question 1 (57 marks)
Barry’s School Buses, is a company that provides transport services to all the international schools in Klang Valley. The manager of the company has recently employed you and your group members to do an in-depth analysis for his company.
The manager has provided the details as stated below and the data is as attached in the excel file given:- Maintenance cost per month (RM) = x1 Age of the buses, in years = x2 Miles travelled by the buses = x3 Bus manufacturer (Bluebird, Kelser, Thompson) = x4 Number of passengers = x5
Based on the data given, you are required to: a. construct frequency distributions and appropriate diagrams for the age of the buses and the bus manufacturer.        [10 marks]
b. sort the maintenance cost by the type of bus manufacturer and then do the following: i. Obtain the descriptive statistics and the value of quartile 1 and quartile 3 for each group type. You are also required to construct histograms for each group type. ii. Determine the outliers for each group type. If it exist, list them out.                  [6 marks] Hint: Instructions for identifying outliers: One rule commonly used for identifying outliers is the so-called 1.5 × IQR rule. An observation is suspected to be an outlier if it is more than 1.5 × IQR below the first quartile Q1 or above the third quartile Q3. In other words, outliers will be below  Q1-1.5*IQR and above Q3+ 1.5*IQR.
c. Write a report (between 250 and 500 words in length) to summarize the results from your analysis in part i and ii. The report should include interpretation of results, compare and contrast on the results, distribution of the data, appropriate summary   measures of central tendency and dispersion, the appropriate descriptive summary, outliers and the conclusion.
Question 2
The manager will also want you to: a. develop a contingency table using these variables: bus manufacturer and number of  passengers.                [5 marks] b. Suppose that the bus type is Thompson, what is the probability that the number of   passengers was less than 50?                 c. What is the probability that a randomly selected bus Bluebird or has more than 10   passengers
d. Use Excel to obtain a 100% stacked column chart for the data from each table.  Explain  three important features of the charts.
Question 3
The manager would like to investigate the relationship between the maintenance cost and miles travelled by the buses. a. He wants you to present and explain the findings in a scatter plot. Add a trend line and  display its equation and coefficient of determination.   [5 marks] b. The manager wants a further clarification on the relationship of these two variables. Outline the regression equation and interpret the values of the intercept, slope, coefficient of  correlation and the coefficient of determination.    [12 marks] c. You are also required to estimate the maintenance cost if the busses travelled 500 and 2000 miles. Comment on the accuracy of that prediction.     [4 marks]
d. Based upon your analysis, do you think that maintenance cost depend totally on the miles  travelled by the busses? Discuss any limitation you have regarding using this technique.   What do you think are the other factors that will affect the maintenance cost, if any?

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