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Business Data Analysis

Question

Answered

Task:

Part 1

The following data are available:

218783M2080
198380M1100
238586M4098
218175F1076
218175F3082
206768F3099
267588F2120
249278F4115
267892M4126
308995F3129
217280F1086
198165M2080
177577M1070
197685F1099
358083F3099
277560F2060
218580M3089
277975M4070
219093F3140
229795M3165
219082M2115
198786F3119
329590M2120
196857F3089

Variables comprising the data are as follows:

•    Age
•    Exam Marks (for a maximum of 100)
•    Paper Marks (for a maximum of 100)
•    Sex (M=Male, F=Female)
•    Year in College (1=Freshman; 2=Sophomore; 3=Junior; 4=Senior)
•    IQ
 
1.    Data handling

a.    Enter the data in the computer. (2 marks)

b.    Provide appropriate variable labels, values labels, and scaling indications to the variables. (2)

2.    Descriptives

a.    Use Analyze, Descriptive statistics, Descriptives to summarize  metric variables. (3)

b.    Recode the sex variable such that it is 1 for females and 0 for males. Hint: Do this immediately in your own dataset, so do not enter M and F. (3)

c.    Use Analyze, Descriptive statistics, Frequencies to summarize nonmetric variables. (3)

d.    Create a pie-chart for Year in College. (2)

e.    Create a histogram for IQ and include the normal distribution. (2)

f.    Make a scatter plot with IQ on the x-axis and exam grade on the y-axis. What do you conclude? (3)

g.    Make a scatter plot with sex on the x-axis and IQ on the y-axis. What do you conclude? (3)

h.    Compute the mean IQ for males and for females. Conclusion? (2)

i.    Create a new dummy variable, IQdum, which is 1 if the IQ is larger than or equal to 100, and 0 else. (3)

j.    Create a cross table between IQdum and Year in College. (2)

3.    Data analysis

a.    Is the exam grade significantly larger than 75? (3)

b.    Are there significant differences in the exam grade for men and women? – independent samples. (2)

c.    Is there a significant difference between the exam grade and the paper grade? – paired samples. (2)

d.    Are there significant differences in the paper grade for the four year groups? – find out means first. (3)
e.    Is the sample representative for the IQ level, for which it is known that 50% of the
population has an IQ below 100, and 50% has an IQ of 100 or higher. (3)

f.    Obtain a correlation matrix for all relevant variables and discuss the results. (2)

g.    Do a multiple regression analysis to explain the variance in paper grades using the independent variables of: age; sex (dummy coded); and IQ, and interpret the results. (5)

Business Data Analysis

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