Assessment 1: Applied Statistics - 20 %
Graded Assignment Descriptions and Instructions
This is an individual Assignment. This assignment has Two (2) Parts. You Must Answer Both Parts
SPSS Exercise – Part I: For this assignment, enter the given data into SPSS. In your responses, be sure to show the screenshot (using the Snipping Tool for Microsoft Windows and the Grab tool for Macintosh) from the SPSS output window.
1. Use the SPSS tools to explore the influence of years of teaching on average income, as presented in the following table:
|
Years of Teaching (X) |
Average Income (Y) |
|
11.4 |
$29,560 |
|
11.0 |
$31,450 |
|
9.8 |
$31,850 |
|
11.1 |
$32,450 |
|
9.6 |
$32,360 |
|
10.2 |
$27,830 |
|
12.1 |
$36,640 |
|
10.5 |
$31,240 |
|
10.7 |
$29,090 |
|
9.6 |
$25,780 |
|
10.9 |
$36,590 |
|
9.3 |
$31,420 |
|
11.1 |
$35,720 |
|
11.9 |
$29,760 |
|
12.2 |
$39,100 |
|
9.8 |
$32,500 |
REQUIRED:
a. Produce a scatterplot for average income and years of teaching.
b. Compute the correlation coefficient, r, between years of teaching and average income.
c. Explain the results of the correlation obtained between years of teaching and average income.
d. Conduct a T-test to explore whether the difference in salary between those with 10 years of teaching or less and those with greater than 10 years of teaching is significant. Explain your answer, including your hypothesis.
SPSS Exercise – Part II: For this assignment, enter the given data into SPSS. In your response, be sure to show the screen shot (using the Snipping Tool for Microsoft Windows and the Grab tool for Macintosh) from the SPSS output window.
1. A researcher is examining the relationship between race and level of education on the average test score for their various high school Maths classes. The researcher hypothesizes that higher educated minority teachers have higher average class scores. To test this hypothesis, she reviews a sample of the current district data, as shown in the table below:
|
Participant |
Race |
Level of Education |
Test Score |
|
1 |
White |
Bachelor’s Degree |
74 |
|
2 |
Black |
Bachelor’s Degree |
80 |
|
3 |
Hispanic |
Bachelor’s Degree |
69 |
|
4 |
Other |
Master’s Degree |
69 |
|
5 |
White |
Master’s Degree |
94 |
|
6 |
Black |
Master’s Degree |
86 |
|
7 |
Hispanic |
Master’s Degree |
69 |
|
8 |
Other |
Specialist Degree |
84 |
|
9 |
White |
Specialist Degree |
92 |
|
10 |
Black |
Specialist Degree |
68 |
|
11 |
Hispanic |
Specialist Degree |
89 |
|
12 |
Other |
Specialist Degree |
67 |
|
13 |
White |
Doctoral Degree |
92 |
|
14 |
Black |
Doctoral Degree |
94 |
|
15 |
Hispanic |
Doctoral Degree |
77 |
|
16 |
Other |
Bachelor’s Degree |
80 |
Race Categories: White = 1; Black = 2; Hispanic = 3; Other = 4
Level of Education Categories: Bachelor’s Degree = 1; Master’s Degree = 2;
Specialist Degree = 3; Doctoral Degree = 4
REQUIRED:
a. Perform a linear regression analysis to examine the effect of the independent variables (race and education) on the dependent variable (test score). Explain the steps you used and show the screen shots obtained.
b. On the screenshot for the regression output, indicate each item as described below:
· Circle the R Square
· Box the Adjusted R Square
· Double underline the three (3) B values; and,
· Underline any significant t-values
c. Explain the meaning of each item in the four bullets listed above.
d.Explain what the regression results mean.
The format for presenting the Applied Statistics Exercises is as follows:
· Cover Page (include Course title/code, Title/Topic of questions answered, Course Coordinator, Group Facilitator, Student Name and ID)
· Table of Contents (include appendices, etc. if any)
· Content – This is where you will present the responses to the questions in the assignment
· References
Other considerations:
·Line spacing = 2
· Font = Times Roman (12 points)
· Page numbering
·The written document MUST not be more than 10 pages and MUST be submitted as a Microsoft Word file to the Designated Assignment Drop box. References, cover page and table of contents are not included in the page limit. However, appendices are included in the page limit.
· The file name for the Assignment should take the format as follows:
EDRS8008 – Student ID – AS1
o Example: EDRS8008 – 1234567- AS1
Penalties
· There is a 10% deduction per day or part thereof for late submission of assignments
· There is a penalty of one (1) mark for each page or part thereof above the page limit stipulations
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