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WEEK4ASSIGNMENT.xls

Sheet1

ASSIGNMENT 4 - CORRELATION and CONFIDENCE INTERVALS
[Overtype your name in this cell]
A study about the effect of music on human intelligence sponsored by Musicthatmakesyoudumb.com revealed the following:
This study was a random sample of schools' radio station "Top 10" list and the schools' average SAT scores.
Music Genre Number of Schools that have this Genre in their top 10 list Average SAT Score
Alternative 1,679 1,152
Classic Rock 809 1,162
Emo 12 1,095
Hip Hop 10 1,104
Jazz 36 1,142
Indie 425 1,174
Christian 25 1,097
Metal 30 1,082
Misc 147 1,238
Pop 332 1,113
Rock 1,881 1,160
Source:
http://musicthatmakesyoudumb.virgil.gr/music.php
1) Count how many music genres there are. 2pts
2) Calculate the Mean (Average) SAT Score. 2pts
3) In your own words, define Standard Deviation.
4) Calculate the Standard Deviation for SAT scores. 2pts
5) In your own words define Statistical Significance (alpha α). 2pts
6) Given a 95% Level of confidence, what is the Level of Significance (alpha)? 2pts
7) In your own words define Confidence Intervals. (2pts)
8) Calculate the Margin of Error (E) for SAT scores 2pts
9) What is the Upper Limit of the Confidence Interval 2pts
10) What is the Lower Limit of the Confidence Interval 2pts
11) In your own words define the Correlation Coefficient (3pts)
12) Calculate the correlation coefficient R = 3pts
13) Calculate the regression sum of squares R2 = 3pts
14) Based on your calculation of the correlation coefficient what can you conclude? (4pts)
You have been asked by the CEO of your company to develop a measurement to optimize the company's web site based on the following information. Be sure to do the calculations for all three columns of data.
Traffic in Number of Visits per Month Monthly Revenue Monthly Cost per Visit
January 22,314 243,898 0.38
February 26,789 298,761 0.24
March 36,751 389,657 0.21
April 48,301 546,792 0.19
May 51,329 675,982 0.13
June 57,634 786,455 0.11
July 63,498 897,645 0.09
August 69,045 989,732 0.06
15) Calculate n = 3pts
16) Calculate the Mean = 3pts
17) Calculate the Standard Deviation = 3pts
18) Given a 95% Level of confidence, what is the Level of Significance (alpha)? 3pts
19) Calculate the Margin of Error 3pts
20) Calculate the Upper Limit 3pts
21) Calculate the Lower Limit 3pts
22) Calculate the correlation coefficient between Traffic in Visits per Month and Monthly Revenue 3pts
23) Calculate the correlation coefficient between Traffic in Visitors per Month and Monthly Cost per Visitor
3pts
24) Graph a Scatterplot comparing Monthly Revenue to Visitor Traffic. 4pts
25) Graph a Scatterplot comparing Traffic in Visitors per Month to Cost per Visit. 4pts
26) Based on your calculations, which one has a positive relationship? Explain. (5pts)
27) Based on your calculations, would you predict revenue to rise or fall? Explain. (5pts)
28) A researcher states that a sequel to a successful movie will also be a success. Explain why this correlation is correct. (5pts)
29) A researcher states that games with high levels of difficulty discourage players. Why is this correlation inaccurate? (5pts)
30) A publication states that fireworks in a concert increase revenue. Is this a reasonable correlation? Why or why not? (6pts)
31) A study reveals that games inhibit critical thinking. Is this a reasonable correlation? Why or why not? (6pts)
STA 3026 Assignment 4- Week 4: Correlation The objectives of this assignment are to help you: Demonstrate understanding of correlation terminology and its interpretation. Demonstrate how to calculate correlation between two groups of data Calculate confidence intervals Make quantitative predictions based on linear regression Construct graphs In this assignment, you will demonstrate your knowledge of the terms and concepts in Chapter 10 and other previously learned concepts of Even You Can Learn Statistics (EYCLS). Please answer the questions in this file, in the marked boxes. Be sure to follow these guidelines: 1. Use the concepts from the textbook and notes. 2. Use the Excel calculator for the confidence intervals to construct the intervals for this assignment. 3. In the essay questions, make sure to be clear and thorough. Your answers should be at least 1 paragraph, with 5 complete sentences. 4. Name your file (last name)A4 Please answer all the questions. 6 Point values are listed for each question. Deductions as follow: -1 point for incomplete/partly correct answers -2 points for incorrect answers All the points the question is worth will be deducted for blank answers.