Math 533 Applied Managerial Statistics Course Project

Math 533

Applied Managerial Statistics

Course Project

Your instructor will provide you with a data file that includes data on five variables:

SALES represents the number sales made this week.

CALLS represents the number of sales calls made this week.

TIME represents the average time per call this week.

YEARS represents years of experience in the call center.

TYPE represents the type of training the employee received

Part C: Regression and Correlation Analysis:

Use the dependent variable (labeled Y) and the independent variables (labeled X1, X2, and X3) in the data file. Use Excel to perform the regression and correlation analysis to answer the following.

Generate a scatterplot for the specified dependent variable (Y) and the X1 independent variable, including the graph of the "best fit" line. Interpret.

Determine the equation of the "best fit" line, which describes the relationship between the dependent variable and the selected independent variable.

Determine the coefficient of correlation. Interpret.

Determine the coefficient of determination. Interpret.

Test the utility of this regression model. Interpret results, including the p-value.

Based on the findings in Steps 1-5, analyze the ability of the independent variable to predict the designated dependent variable.

Compute the confidence interval for ?1 (the population slope) using a 95% confidence level. Interpret this interval.

Using an interval, estimate the average for the dependent variable for a selected value of the independent variable. Interpret this interval.

Using an interval, predict the particular value of the dependent variable for a selected value of the independent variable. Interpret this interval.

What can be said about the value of the dependent variable for values of the independent variable that are outside the range of the sample values? Explain.

In an attempt to improve the model, use a multiple regression model to predict the dependent variable, Y, based on all of the independent variables, X1, X2, and X3.

Using Excel, run the multiple regression analysis using the designated dependent and three independent variables. State the equation for this multiple regression model.

Perform the Global Test for Utility (F-Test). Explain the conclusion.

Perform the t-test on each independent variable. Explain the conclusions and clearly state how the analysis should proceed. In particular, which independent variables should be kept and which should be discarded. If any independent variables are to be discarded, re-run the multiple regression, including only the significant independent variables, and summarize results with discussion of analysis.

Is this multiple regression model better than the linear model generated in parts 1-10? Explain.

All DeVry University policies are in effect, including the plagiarism policy.

Summarize your results from Steps 1–14 in a three-page report. The report should explain and interpret the results in ways that are understandable to someone who does not know statistics.

Submission: The summary report and all of the work done in 1–14 (Excel output and interpretations) as an appendix

Format for report:

Summary Report

Points 1–14 should be addressed with appropriate output, graphs, and interpretations. Be sure to number each point 1–14.

Sales (Y)
48
32
44
47
41
46
32
46
42
33
42
50
42
41
41
44
36
47
38
21
67
45
52
37
33
31
44
44
39
43
42
49
41
40
37
36
46
41
49
42
37
37
21
39
44
49
35
46
43 Calls (X1)
171
139
165
186
180
184
120
172
161
143
181
148
140
198
149
168
121
149
135
185
155
149
193
159
152
170
192
165
150
174
168
178
164
191
132
140
171
170
153
154
142
130
177
160
134
131
130
183
169 Time (X2)
13.0
16.9
15.7
13.5
14.0
12.7
19.9
14.7
13.2
15.4
11.5
16.0
17.5
13.2
17.3
11.0
18.0
15.8
18.5
18.9
17.9
13.5
13.7
18.1
15.0
14.3
16.7
12.4
15.3
12.7
16.4
15.1
17.8
19.0
10.0
15.7
14.9
12.3
19.0
14.3
13.9
16.9
17.0
14.3
19.4
14.6
19.4
15.4
14.0 Years (X3)
5
4
3
3
2
5
3
3
1
3
4
0
2
2
0
5
2
1
1
2
1
1
5
0
3
4
1
3
3
2
0
3
3
5
0
1
5
0
3
2
3
2
0
4
5
1
4
4
5 Type
ONLINE
NONE
ONLINE
ONLINE
ONLINE
ONLINE
NONE
GROUP
GROUP
NONE
ONLINE
NONE
GROUP
ONLINE
ONLINE
ONLINE
NONE
GROUP
GROUP
ONLINE
NONE
ONLINE
ONLINE
NONE
GROUP
GROUP
GROUP
ONLINE
GROUP
ONLINE
ONLINE
ONLINE
GROUP
ONLINE
NONE
NONE
ONLINE
ONLINE
GROUP
GROUP
NONE
NONE
ONLINE
NONE
GROUP
GROUP
NONE
ONLINE
GROUP 41
48
39
40
48
50
44
43
33
32
46
48
56
44
34
43
33
49
50
52
45
48
35
44
44
67
51
41
40
45
41
40
47
48
42
41
29
48
33
48
45
36
43
42
49
50
42
44
45
48 155
182
140
157
167
144
168
175
150
155
163
162
189
153
158
160
173
178
189
184
174
188
149
159
160
166
178
178
176
138
159
145
151
186
194
152
145
188
139
201
156
131
161
152
178
157
154
156
170
170 16.0
13.0
12.4
15.4
14.8
15.8
12.4
13.6
14.9
17.9
16.6
14.5
15.0
15.3
14.2
10.9
17.5
18.3
14.3
11.4
13.6
13.6
15.6
14.6
14.8
18.9
16.5
13.4
12.6
15.3
18.8
14.7
16.6
14.2
13.6
14.5
19.0
11.3
19.3
12.5
13.2
18.5
17.3
14.6
16.4
15.9
15.3
20.0
14.2
17.4 2
2
1
1
3
2
2
5
2
1
2
4
3
2
3
4
1
2
1
4
2
0
1
2
2
1
1
2
1
2
2
2
2
1
2
4
2
2
3
1
3
2
3
1
2
3
1
0
1
5 ONLINE
ONLINE
NONE
ONLINE
ONLINE
NONE
GROUP
GROUP
GROUP
GROUP
ONLINE
GROUP
ONLINE
ONLINE
ONLINE
ONLINE
ONLINE
GROUP
ONLINE
ONLINE
ONLINE
ONLINE
GROUP
GROUP
ONLINE
GROUP
ONLINE
ONLINE
ONLINE
NONE
ONLINE
NONE
GROUP
ONLINE
ONLINE
GROUP
NONE
ONLINE
GROUP
ONLINE
GROUP
NONE
ONLINE
ONLINE
ONLINE
GROUP
GROUP
ONLINE
ONLINE
ONLINE 39 144 17.7 3 NONE