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Each Excel project file has two tabs - DATA and Variable INFO. The DATA worksheet contains a YELLOW column representing the numerical response variable and

Each Excel project file has two tabs - DATA and Variable INFO. The DATA worksheet contains a YELLOW column representing the numerical response variable and a DARK ORANGE column representing the numerical predictor variable for this simple regression analysis. Use only these two columns for this part (Part 1) of the project.

Introduction

Assume you are part of the organization or group that uses the data available to you for your team project. Using the YELLOW-highlighted numerical variable column in your Excel worksheet as the response variable of interest, Develop an introductory "scenario" of one paragraph that describes the data file for your project and why you (the ?????? Corporation/Group) are performing this simple regression analysis that will enable you to predict the outcomes of this numerical response variable based on one predictor variable, the DARK ORANGE column.

Background

Using both the response variable (YELLOW column) and the predictor variable (DARK ORANGE column) develop appropriate descriptive summary measures reviewed in Module 1.

Simple Regression Modeling Steps

  1. Open the Excel worksheet containing your Team Project Data.
  2. As you learned in Module 2, run a simple linear regression model using the independent numerical variable whose Excel worksheet column is highlighted in DARK ORANGE as the predictor of Y the YELLOW Excel column.
    1. Cut and paste into your report the scatter plot and the Excel Regression Output for this simple linear regression model.
    2. Write the sample regression equation.
    3. Interpret the meaning of the Y-intercept and slope for your fitted model.
    4. Interpret the meaning of the coefficient of determination r 2 .
    5. Interpret the meaning of the standard error of the estimate SYX .
    6. Obtain the residual plots and cut and paste them into the report. Briefly comment on the appropriateness of your fitted model.
      1. (1) If the assumptions are met and the fitted model is appropriate,continue to Step 2G.
      2. (2) If any of the linearity, normality, or equality of variance assumptions are problematic state this but continue to Step 2G. Note -- you do not need to check the assumption of independence in your project. (That assumption is automatically met because your project is not time-dependent).
    7. Comment on the statistical significance of your fitted model
    8. Comment on the 95% confidence interval estimate on the average impact on the response variable for each unit increase in the predictor variable.
    9. Select a value for your independent variable in its relevant range:
      1. Predict
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125.3 55 35 3.0 1 Yes
64.8 40 33 9.0 1 Yes
32.3 40 23 1.5 0 No
57.1 40 60 20.0 0 No
97.3 50 39 5.0 0 No
61.4 30 35 3.0 1 Yes
122.6 60 49 5.0 1 Yes
44.0 40 49 22.1 0 No
102.7 44 39 0.5 1 Yes
42.6 40 59 1.5 0 No
53.0 40 25 1.0 1 Yes
20.8 50 20 1.0 0 No
53.3 30 33 5.0 1 Yes
54.1 55 30 5.0 1 Yes
40.3 45 43 12.0 0 No
68.3 40 35 0.5 1 Yes
23.5 40 35 0.8 0 No
26.2 45 41 2.0 0 No
42.1 40 40 10.0 0 No
77.9 50 38 15.0 1 Yes
29.4 35 41 1.0 0 No
24.6 40 32 0.2 0 No
85.9 48 58 36.0 1 Yes
21.4 45 18 1.0 0 No
121.0 50 39 3.0 1 Yes
44.2 40 31 4.0 1 Yes
58.1 45 33 4.0 1 Yes
48.5 32 36 4.1 0 No
66.4 62 28 5.0 1 Yes
51.5 40 25 2.0 0 No
36.0 40 27 5.0 0 No
32.2 40 40 11.8 1 Yes
81.0 50 53 10.0 1 Yes
90.7 72 47 5.0 0 No
26.4 30 27 0.5 0 No
69.3 40 35 10.0 0 No
35.2 40 25 2.5 1 Yes
20.3 35 53 5.0 0 No
66.1 40 35 6.4 1 Yes
86.7 48 43 11.0 1 Yes
80.0 40 48 21.0 0 No
37.8 55 29 1.0 1 Yes
62.4 40 53 0.1 0 No
49.4 40 43 2.0 0 No
51.7 40 30 10.0 0 No
28.6 40 27 0.5 0 No
63.7 35 59 6.0 1 Yes
87.4 40 52 21.0 1 Yes
30.1 50 40 1.5 1 Yes
63.4 59 29 2.8 0 No
124.8 40 40 4.3 1 Yes
103.2 45 38 4.0 1 Yes
65.3 40 52 0.1 0 No
62.7 50 29 1.0 0 No
33.8 42 34 10.0 1 Yes
45.4 50 25 3.0 0 No
24.0 40 32 1.0 0 No
46.7 32 39 2.0 0 No
36.8 40 32 3.0 0 No
32.0 40 25 2.0 1 Yes
42.9 40 37 16.0 0 No
21.5 40 23 1.0 0 No
38.2 41 29 3.0 1 Yes
30.2 50 33 1.0 1 Yes
58.1 44 26 2.5 0 No
82.9 35 44 22.0 0 No
35.4 32 25 1.0 1 Yes
36.0 40 41 10.5 0 No
61.1 40 26 1.0 0 No
59.7 55 27 2.0 0 No
82.9 40 65 12.4 0 No
68.0 40 44 11.0 0 No
71.0 55 48 5.7 0 No
80.8 50 37 8.5 1 Yes
130.7 70 52 1.0 1 Yes
88.5 60 38 2.7 1 Yes
68.2 43 34 5.5 1 Yes
67.7 52 34 13.0 1 Yes
36.0 46 23 1.4 0 No
75.4 50 62 52.3 1 Yes
62.6 76 41 27.2 1 Yes
23.8 38 26 0.5 1 Yes
53.0 40 37 19.0 1 Yes
34.7 40 33 1.0 1 Yes
25.8 54 20 3.0 1 Yes
48.6 60 31 12.5 0 No
45.8 50 28 4.6 0 No
40.3 40 22 1.0 1 Yes
49.0 40 36 7.0 1 Yes
49.4 67 51 32.3 1 Yes
56.2 44 48 24.8 0 No
42.7 48 35 12.0 1 Yes
36.3 38 38 2.7 1 Yes
43.4 40 40 3.0 0 No
72.5 52 32 13.0 0 No
54.4 40 33 11.0 0 No
92.5 60 39 17.0 0 No
72.5 52 47 8.0 0 No
61.0 40 50 22.5 0 No
23.5 50 24 1.0 0 No
56.8 40 30 1.5 0 No
77.8 60 31 3.0 0 No
71.7 60 37 3.0 1 Yes
64.2 50 41 6.0 1 Yes
82.2 55 46 7.0 1 Yes
47.8 49 57 34.0 1 Yes
37.9 32 61 40.0 0 No
42.2 40 58 3.9 0 No
49.3 40 49 6.0 0 No
73.1 40 32 7.0 0 No
76.3 60 32 12.0 1 Yes
62.4 40 44 22.0 1 Yes
51.8 55 34 4.0 1 Yes
49.9 60 38 15.0 1 Yes
26.2 42 30 1.5 0 No
41.8 40 29 0.3 0 No
94.9 50 47 23.6 1 Yes
67.7 70 40 2.0 1 Yes
43.0 40 37 5.0 0 No
61.3 89 44 0.7 1 Yes
94.9 50 39 11.0 1 Yes
26.1 72 41 18.0 1 Yes
55.0 40 30 11.0 0 No
50.2 65 58 3.0 0 No
86.1 75 55 29.0 1 Yes
42.2 68 60 10.0 0 No
37.0 38 41 12.0 0 No
25.2 48 35 7.0 0 No
36.5 50 24 3.0 0 No
49.1 45 39 9.0 0 No
73.3 45 41 8.0 0 No
47.2 60 38 4.0 0 No
41.4 45 29 3.0 0 No
42.9 40 38 7.0 1 Yes
65.9 40 33 10.0 1 Yes
41.6 60 25 3.0 1 Yes
30.4 45 62 23.0 0 No
21.0 40 42 12.8 0 No
30.9 56 33 4.5 1 Yes
33.8 57 27 0.3 0 No
58.6 47 42 5.0 1 Yes
46.9 60 28 5.5 1 Yes
30.9 40 46 2.0 0 No
69.8 46 40 18.0 1 Yes
24.5 40 56 1.8 1 Yes
23.0 40 30 6.0 0 No
48.5 50 44 15.0 0 No
84.3 80 48 9.0 0 No
73.1 40 39 16.0 0 No
25.9 60 39 3.3 1 Yes
71.5 40 62 27.0 1 Yes
29.0 72 21 1.1 0 No
88.0 40 62 1.9 0 No
44.0 45 34 2.1 1 Yes
40.3 40 35 13.0 0 No
34.2 45 41 0.3 0 No
25.8 40 54 33.0 0 No
51.0 40 51 6.0 0 No
80.6 40 52 31.9 1 Yes
25.9 60 29 5.0 0 No
87.8 50 40 6.0 0 No
81.4 45 31 0.7 1 Yes
41.8 40 40 15.0 1 Yes
92.8 48 64 29.0 0 No
52.8 40 52 20.0 0 No
42.6 40 38 11.0 0 No
33.3 40 26 1.5 0 No
34.1 40 45 0.6 1 Yes
65.9 55 33 7.0 1 Yes
62.7 40 36 18.0 0 No
82.6 60 36 5.0 0 No
44.0 50 45 17.0 0 No
81.9 50 54 5.0 1 Yes
122.2 32 57 34.0 1 Yes
31.2 54 43 13.0 0 No
68.5 50 54 27.0 0 No
23.5 40 43 26.0 1 Yes
32.6 40 44 2.0 0 No
61.6 40 39 10.0 0 No
58.6 40 41 11.0 1 Yes
49.9 40 37 5.0 1 Yes
48.6 40 50 23.0 1 Yes
74.6 40 48 25.0 1 Yes
107.2 50 53 11.0 1 Yes
63.0 52 38 1.5 1 Yes
147.0 45 63 32.0 0 No
69.8 40 44 20.0 1 Yes
36.0 50 30 8.0 1 Yes
50.9 40 62 17.0 0 No
44.6 60 38 12.0 0 No
40.0 40 52 27.0 0 No
59.0 48 38 18.0 0 No
68.3 44 55 14.0 1 Yes
60.3 60 43 17.0 1 Yes
84.2 73 25 2.5 1 Yes
52.0 40 53 22.0 1 Yes
75.5 40 32 1.0 1 Yes
59.0 60 40 11.3 1 Yes
21.1 75 28 3.0 1 Yes
36.0 50 52 19.2 1 Yes
37.3 50 39 3.4 0 No
28.5 60 38 2.0 1 Yes
49.8 50 27 3.0 0 No
26.4 80 32 1.5 0 No
34.9 60 51 8.0 1 Yes
75.0 50 42 14.0 1 Yes
21.9 40 30 8.0 0 No
77.4 35 39 9.0 1 Yes
28.0 55 43 5.0 1 Yes
23.8 56 43 0.3 0 No
44.8 56 43 5.5 1 Yes
35.0 50 49 1.5 1 Yes
65.8 50 63 25.0 0 No
49.9 84 33 13.9 0 No
35.2 40 21 1.3 0 No
32.3 42 63 9.4 0 No
20.2 50 36 9.7 0 No
24.3 70 28 9.7 1 Yes
25.3 40 43 18.2 0 No
34.1 34 44 4.0 1 Yes
28.2 63 25 4.0 1 Yes
61.6 65 22 1.0 0 No
54.2 40 47 19.0 0 No
36.2 40 47 10.0 0 No
50.2 65 41 5.0 0 No
30.9 40 35 8.0 0 No
21.3 40 34 13.0 0 No
77.4 80 32 6.0 1 Yes
36.0 50 44 24.0 1 Yes
65.8 45 42 19.3 0 No
23.2 40 22 1.3 0 No
58.1 40 35 16.0 0 No
84.5 60 35 3.0 1 Yes
41.1 30 64 11.0 0 No
40.3 50 33 4.0 0 No
24.0 40 37 1.5 0 No
28.8 40 25 1.5 0 No
49.6 32 35 1.5 1 Yes
53.3 40 34 6.0 0 No
25.3 40 50 10.0 0 No
51.2 40 61 0.8 0 No
57.1 64 37 3.0 1 Yes
38.9 49 24 5.0 0 No
57.8 40 56 30.0 0 No
37.9 40 42 5.5 1 Yes
50.1 48 34 3.0 1 Yes
38.6 42 50 3.5 1 Yes
48.5 50 34 8.0 1 Yes
28.6 40 44 5.5 1 Yes
32.6 40 27 7.0 0 No
34.6 32 33 2.6 0 No
27.2 40 28 12.3 0 No
28.3 40 33 3.0 0 No
20.9 38 34 1.5 0 No
52.5 40 48 6.0 0 No
26.1 40 21 0.7 0 No
71.5 40 26 3.5 1 Yes
80.2 40 29 16.0 1 Yes
47.7 40 40 4.5 1 Yes
64.3 40 39 2.0 0 No
22.6 40 27 4.0 0 No
36.0 46 39 1.0 1 Yes
24.8 40 27 2.0 0 No
27.2 40 40 4.0 0 No
31.7 40 33 2.0 1 Yes
30.9 40 26 4.0 1 Yes
25.6 40 23 0.8 1 Yes
29.0 48 30 1.0 0 No
34.7 40 53 12.5 0 No
59.5 40 36 12.5 0 No
40.3 45 36 10.0 0 No
45.8 43 64 7.0 1 Yes
98.7 55 43 18.0 1 Yes
56.2 46 28 0.2 0 No
33.0 40 52 3.0 0 No
21.9 30 48 1.7 0 No
31.5 40 43 9.4 0 No
43.4 36 39 16.0 1 Yes
23.4 40 49 4.0 0 No
28.5 45 40 0.5 1 Yes
37.0 36 42 12.0 0 No
30.9 50 28 3.0 0 No
26.7 40 37 10.0 1 Yes
25.4 43 35 1.5 0 No
41.3 35 63 22.0 0 No
92.8 40 50 8.0 1 Yes
41.1 40 49 3.4 0 No
39.7 40 44 5.0 0 No
25.0 37 42 2.0 0 No
45.6 60 36 9.5 1 Yes
32.0 40 42 7.1 0 No
26.7 40 48 9.0 0 No
36.3 40 33 3.8 0 No
25.9 40 35 2.5 0 No
55.4 40 27 5.0 0 No
25.6 42 36 1.0 0 No
33.9 40 39 10.0 1 Yes
40.2 40 61 13.0 0 No
66.4 45 48 4.0 0 No
43.2 41 47 1.0 0 No
22.2 37 30 4.0 0 No
22.4 40 40 17.0 0 No
36.3 42 29 4.3 1 Yes
32.0 40 61 18.3 1 Yes
31.5 40 32 11.6 0 No
53.3 45 58 12.0 0 No
39.5 50 44 10.0 0 No
21.8 40 30 2.0 0 No
32.8 40 55 15.0 0 No
30.2 32 29 3.0 0 No
60.6 40 47 2.0 0 No
42.7 60 42 22.0 1 Yes
21.1 40 38 1.0 0 No
61.9 40 32 6.0 0 No
23.0 40 55 29.5 0 No
29.9 40 43 22.3 0 No
36.8 55 32 11.0 1 Yes
27.7 40 31 10.0 1 Yes
23.0 40 29 3.0 0 No
21.4 40 42 1.1 0 No
24.5 35 38 4.0 1 Yes
44.6 35 37 14.0 1 Yes
24.8 60 47 1.0 0 No
43.7 40 38 10.5 0 No
60.3 35 41 17.0 1 Yes
32.6 45 26 4.0 0 No
37.4 40 31 5.5 0 No
22.8 55 21 2.0 0 No
21.9 40 50 10.0 0 No
100.5 40 36 2.2 1 Yes
40.3 50 41 2.3 0 No
51.5 40 32 5.0 1 Yes
45.0 40 39 5.0 1 Yes
20.5 43 30 0.3 0 No
40.0 45 33 1.0 0 No
28.5 45 27 2.0 0 No
24.6 40 37 15.0 0 No
41.4 65 36 6.0 1 Yes
24.0 40 32 10.0 0 No
45.8 45 31 1.0 1 Yes
40.8 50 45 20.0 1 Yes
65.1 40 44 22.0 0 No
29.0 40 41 0.3 0 No
22.7