Maths 533 project c (a+++++++++++ work and on the basis of new data)

PROJECT PART C:  Regression and Correlation Analysis

Using Minitab, perform the regression and correlation analysis for the data on SALES (Y) and CALLS (X) by answering the following questions.

                          

1.   Generate a scatterplot for SALES versus CALLS, including the graph of the best fit line.

      Interpret.

 

2.   Determine the equation of the best fit line, which describes the relationship between

      SALES and CALLS.

 

3.   Determine the coefficient of correlation. Interpret.

 

4.   Determine the coefficient of determination. Interpret.

 

5.   Test the utility of this regression model (use a two tail test with α =.05).

      Interpret your results, including the p-value.

 

6.   Based on your findings in 1–5, what is your opinion about using CALLS to predict SALES?

      Explain.

 

7.   Compute the 95% confidence interval for beta-1 (the population slope). 

      Interpret this interval.

 

8.   Using an interval, estimate the average weekly sales for weekly calls that are 150.

      Interpret this interval.

 

9.   Using an interval, predict the weekly sales when weekly calls are 150. 

      Interpret this interval.

 

10.  What can we say about the weekly sales when weekly calls are 300?

      Explain your answer.

 

 

In an attempt to improve this model, we attempt to do a multiple regression model predicting SALES based on CALLS, TIME, and YEARS.

 

 

11.  Using Minitab, run the multiple regression analysis using the variables CALLS, TIME, and

      YEARS to predict SALES. State the equation for this multiple regression model.

 

12.  Perform the global test for utility (F-Test). Explain your conclusion.

 

13.  Perform the t-test on each independent variable. Explain your conclusions, and clearly state

      how you should proceed. In particular, state which independent variables should we keep, and

      which should be discarded.

 

14.  Is this multiple regression model better than the linear model that we generated in parts 1–10?

      Explain.

 

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

 

16.  Project Part C report is due by the end of Week 7.

 

17.  Project Part C is worth 100 total points. See grading rubric below.

 

 

Summarize your results from 1–14 in a report that is two pages or less in length and explains and interprets 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 (Minitab Output + interpretations) as an appendix.

 

Format:

      A.   Summary Report

      B.   Points 1–14 addressed with appropriate output, graphs, and interpretations. Be sure to

            number each point 1–14.

 

 

Project Part C: Grading Rubric

Category

Points

%

Description

Questions 1–12 and 14

5 points each

65%

addressed with appropriate output, graphs, and interpretations

Question 13

15 points

15%

addressed with appropriate output, graphs, and interpretations

Summary

20 points

20%

writing, grammar, clarity, logic, cohesiveness, adherence to the above format

Total

100 points

100%

A quality paper will meet or exceed all of the above requirements.

 

 

SALES CALLS TIME YEARS TYPE
46 171 12.7 5 ONLINE
34 134 17.0 4 NONE
44 165 15.7 3 ONLINE
45 186 13.0 3 ONLINE
42 180 14.8 2 ONLINE
47 184 12.4 2 ONLINE
33 126 20.2 3 NONE
44 172 14.4 3 GROUP
42 161 13.9 1 GROUP
37 149 15.4 3 NONE
46 181 12.2 4 ONLINE
40 145 16.0 0 NONE
43 140 17.0 2 GROUP
52 198 13.5 2 ONLINE
41 149 17.3 0 ONLINE
42 168 12.9 3 ONLINE
32 124 17.5 2 NONE
42 149 16.5 1 GROUP
38 135 18.2 1 GROUP
49 185 18.6 2 ONLINE
39 154 18.3 1 NONE
43 149 15.6 1 ONLINE
50 193 13.2 1 ONLINE
37 153 18.7 0 NONE
39 152 15.0 3 GROUP
43 170 14.7 4 GROUP
44 192 14.6 1 GROUP
45 165 16.4 3 ONLINE
40 150 15.3 3 GROUP
43 174 15.6 2 ONLINE
42 168 15.0 0 ONLINE
48 178 15.1 3 ONLINE
44 164 16.5 3 GROUP
51 191 11.8 2 ONLINE
37 139 14.4 0 NONE
37 138 17.7 1 NONE
46 171 15.9 5 ONLINE
44 170 11.2 0 ONLINE
41 153 18.0 3 GROUP
42 154 15.1 2 GROUP
40 144 14.0 3 NONE
37 134 16.9 2 NONE
47 177 17.2 0 ONLINE
39 157 14.5 4 NONE
40 134 20.2 3 GROUP
37 131 18.3 1 GROUP
35 129 18.4 4 NONE
44 183 15.1 4 ONLINE
43 169 14.0 5 GROUP
42 155 16.0 2 ONLINE
48 182 12.8 2 ONLINE
37 143 12.0 1 NONE
41 157 13.5 1 ONLINE
43 167 14.8 3 ONLINE
40 142 15.8 2 NONE
42 168 12.1 2 GROUP
43 175 14.8 2 GROUP
39 150 18.0 2 GROUP
41 155 17.9 1 GROUP
46 163 16.6 2 ONLINE
40 162 13.6 4 GROUP
44 189 14.1 3 ONLINE
44 153 20.9 2 ONLINE
41 158 13.4 3 ONLINE
43 160 11.2 4 ONLINE
46 173 12.1 1 ONLINE
43 178 18.3 2 GROUP
47 189 13.1 1 ONLINE
49 184 11.4 4 ONLINE
45 174 14.0 2 ONLINE
48 188 14.6 0 ONLINE
37 149 15.8 1 GROUP
40 159 14.6 2 GROUP
44 160 14.8 2 ONLINE
41 166 17.4 1 GROUP
52 178 14.9 1 ONLINE
49 178 12.0 2 ONLINE
48 176 13.3 1 ONLINE
39 143 15.5 2 NONE
41 159 18.8 2 ONLINE
38 149 14.7 2 NONE
40 151 16.6 2 GROUP
48 186 13.1 1 ONLINE
47 194 13.1 2 ONLINE
38 152 14.2 4 GROUP
38 146 19.7 2 NONE
45 188 10.0 2 ONLINE
39 139 19.3 3 GROUP
49 201 12.5 1 ONLINE
41 156 11.8 3 GROUP
36 132 19.5 2 NONE
42 161 16.3 3 ONLINE
41 152 14.6 1 ONLINE
45 178 16.4 2 ONLINE
38 157 16.4 3 GROUP
41 154 14.3 1 GROUP
44 156 21.6 0 ONLINE
44 170 12.5 1 ONLINE
44 170 15.8 0 ONLINE
37 146 17.7 3 NONE
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