A market researcher is studying online subscription services. She is particularly interested in what variables relate to the number of subscriptions for a particular online service. Sample information on 25 online subscription services was gathered. (Use Data down below) Report the summary output and residual output and comment on whether all the variables should be kept as regressors. Plot the residuals in a histogram. Comment on whether they appear to follow a normal distribution. Plot the fitted values against the residuals. Does this plot satisfy the assumption of randomness? DATA  Service Subscriptions Web Page Hits Adv Price 1 37.95 588.9 13.2 35.1 2 37.66 585.3 13.2 34.7 3 37.55 566.3 19.8 34.8 4 38.78 642.9 17.6 35.1 5 37.67 624.2 17.6 34.6 6 38.23 603.9 15.4 34.8 7 36.9 571.9 11 34.7 8 38.28 584.3 28.6 35.3 9 38.95 605 28.6 35.1 10 39.27 676.3 17.6 35.6 11 38.3 587.4 17.6 34.9 12 38.84 576.4 22 35.4 13 38.14 570.8 17.6 35 14 38.39 586.5 15.4 35.5 15 37.29 544 11 34.9 16 39.15 611.1 24.2 35 17 38.29 643.3 17.6 35.3 18 38.09 635.6 19.8 34.8 19 37.83 598.9 15.4 35.1 20 39.37 657 22 35.3 21 37.81 595.2 15.4 35.1 22 37.42 520 19.8 35.1 23 38.83 629.6 22 35.3 24 38.33 680 24.2 34.7 25 40.24 651.2 33 35.8

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A market researcher is studying online subscription services. She is particularly interested in what variables relate to the number of subscriptions for a particular online service. Sample information on 25 online subscription services was gathered. (Use Data down below)

  1. Report the summary output and residual output and comment on whether all the variables should be kept as regressors.
  2. Plot the residuals in a histogram. Comment on whether they appear to follow a normal distribution.
  3. Plot the fitted values against the residuals. Does this plot satisfy the assumption of randomness?

DATA 

Service Subscriptions Web Page Hits Adv Price
1 37.95 588.9 13.2 35.1
2 37.66 585.3 13.2 34.7
3 37.55 566.3 19.8 34.8
4 38.78 642.9 17.6 35.1
5 37.67 624.2 17.6 34.6
6 38.23 603.9 15.4 34.8
7 36.9 571.9 11 34.7
8 38.28 584.3 28.6 35.3
9 38.95 605 28.6 35.1
10 39.27 676.3 17.6 35.6
11 38.3 587.4 17.6 34.9
12 38.84 576.4 22 35.4
13 38.14 570.8 17.6 35
14 38.39 586.5 15.4 35.5
15 37.29 544 11 34.9
16 39.15 611.1 24.2 35
17 38.29 643.3 17.6 35.3
18 38.09 635.6 19.8 34.8
19 37.83 598.9 15.4 35.1
20 39.37 657 22 35.3
21 37.81 595.2 15.4 35.1
22 37.42 520 19.8 35.1
23 38.83 629.6 22 35.3
24 38.33 680 24.2 34.7
25 40.24 651.2 33 35.8

 

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