Solution :
a.The table below shows the different distribution of the students in differnt majors :
Subjects No. of graduates
Accounting 28
Finance 21
Management 24
Info System 16
Marketing 22
Therefore, "accounting" have the maximum number of graduates.
b. The average monthly salaries of the graduates from some of the different majors are :
Subjects Average salary Overall salary
Finance 699 77595
Accounting 1014 112560
Info Sys 577 64000
Marketing 663 73590
Management 688 76320
Therefore, the "Accounting" group have the highest average salary.
c. The "info System" has the lowest overall salary.
2.b. The data showing is more or less the linear relationship between the "Annual Expenses" and the "Weekly usage", therefore initially, we fit the linear regression equation of the form.
[tex]$AE = a+b \times(WU)$[/tex]
The ordinary least square estimates are [tex]$\hat{a} = 10.528 \text{ and} \ \hat{b} = 0.9534[/tex]
So, [tex]$AE = 10.528+0.9534 \times(WU)$[/tex]
c. The amount of the variation the estimated model explains for the entire variation is given by the measure of
[tex]$R^2 = \frac{\text{variance of fitted observation}}{\text{variance in original data}}$[/tex]
= 0.856
It shows the linear regression that explains the good amount of entire variability of the annual expenses. It also supports the assumption of the "Linear Model".
a. The Scatter plot is attached below.
