This is an assignment I did in statistics class studying current music trends.

1. [Overtype your name in this cell]
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
This study was a random sample of schools' radio station "Top 10" list and the schools' a
ASSIGNMENT 4 - CORRELATION and CONFIDENCE INT
A study about the effect of music on human intelligence sponsored by Musicthatmakesyoudumb.c
STA 3026 Assignment 4- Week 4: Correlation
The objectives of this assignment are to help you:
Demonstrateunderstanding ofcorrelation terminology and its interpretation.
Demonstratehow to calculatecorrelation between two groups ofdata
Calculateconfidenceintervals
Make quantitativepredictions based on linear regression
Construct graphs
In this assignment, you will demonstrateyour knowledgeofthe terms and concepts in Chapter 10 and other previously le
Statistics (EYCLS). Please answer thequestions in this file, in themarked boxes.
Be sure to follow these guidelines:
1. Use the concepts from thetextbook and notes.
2. Use the Excel calculator for theconfidenceintervals to construct theintervals for this assignment.
3. In theessay questions, make sure to beclear and thorough. Your answers should be at least 1 paragraph, with 5 compl
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 thepoints thequestion is worth will bededucted for blank answers.

2. Source:
1) 11 2pts
2) 1,138 2pts
3) In your own words, define Standard Deviation.
4) 45.84 2pts
5) In your own words define Statistical Significance (alpha α). 2pts
6)
0.05 or 5%
2pts
7)
8) 27.09 2pts
9) 1,111
2pts
10) 1,165 2pts
11)
12) 0.3252 3pts
13) 0.1058 3pts
A confidence interval is a range of numbers to convey how precise a measurement is.
Calculate the correlation coefficient R =
Count how many music genres there are.
http://musicthatmakesyoudumb.virgil.gr/music.php
What is the Upper Limit of the Confidence Interval
What is the Lower Limit of the Confidence Interval
Calculate the Mean (Average) SAT Score.
Calculate the Standard Deviation for SAT scores.
Standard deviation is the measurement of how spread out numbers are.
The error that we are willing to take when we perform some kind of statisical test.
In your own words define the Correlation Coefficient (3pts)
A measurment that calculates the strength of relationship between two variables.
Given a 95% Level of confidence, what is the Level
of Significance (alpha)?
Calculate the Margin of Error (E) for SAT scores
Calculate the regression sum of squares R
2
=
In your own words define Confidence Intervals. (2pts)

3. 14)
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 = 8 8 8.0000 3pts
16) Calculate the Mean = 46,958 603,615 0.1763 3pts
17) Calculate the Standard Deviation = 16,965 279,169 0.1031 3pts
18) Given a 95% Level of confidence,
what is the Level of Significance
(alpha)?
0.05 0.05 0.0500 3pts
19) Calculate the Margin of Error 11,756 193,454 0.0714 3pts
20) Calculate the Upper Limit 58,714 797,069 0.2477 3pts
21) Calculate the Lower Limit 35,202 410,161 0.1049 3pts
3pts
Based on your calculation of the correlation coefficient what can you conclude? (4pts)
Based on my calculations, the correlation is very weak. If it were closer to 1 then it would be strong
this, graphed on a scatter plot, would be a weak positive linear correlation.
22)
You have been asked by the CEO of your company to develop a measurement to optimize the com
following information. Be sure to do the calculations for all three columns of data.
Calculate the correlation coefficient between Traffic
in Visits per Month and Monthly Revenue
0.9888

4. 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
23)
-0.9424
Calculate the correlation coefficient between Traffic in Visitors per
Month and Monthly Cost per Visitor
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0 10,000 20,000 30,000 40,000 50,000 60,000 70,000 80,000
Monthly
cost
per
visit
Correlation of monthly traffic and cost per visit
0
200,000
400,000
600,000
800,000
1,000,000
1,200,000
0 10,000 20,000 30,000 40,000 50,000 60,000 70,000 80,000
Monthly
Revenue
Number of visits per month
Correlation of monthly revenue and visitor traffic

5. 0.00
0 10,000 20,000 30,000 40,000 50,000 60,000 70,000 80,000
Number of visits per month

6. 26)
27)
28)
29)
30)
31)
Based on your calculations, would you predict revenue to rise or fall? Explain. (5pts)
I believe that this is a reasonable correlation because almost any game, other than blackjack/21, involv
good example of this, in recent times, would be Fortnite. This poplar game has blown up among gener
6 or 7 being able to sit down and control their player better than some of the kids my age. This game c
materials, strategic movements, and more to try to make your player become the last one standing. I'l
best; however, they incorporate fun things in the game to make it more kid friendly, while keeping the
playing.
A researcher states that games with high levels of difficulty discourage players. Why is this correla
I believe the higher level of difficulty doesn't discourage players; it makes them want to try harder t
that even the best of players deem impossible for your average video game player; however, they
games. Sure, it is discouraging to keep losing on the same level, but the joy of finally beating that l
A publication states that fireworks in a concert increase revenue. Is this a reasonable correlation?
I believe this is a reasonable correlation. In my experience, fireworks create a different experience at a
shows, especially in the rock genre, end with fire or flame coming out of the stage. Famous bans, like K
adds a different sort of adrenaline rush. In addition to that, people would post it all over their social me
free advertisement for future events.
A study reveals that games inhibit critical thinking. Is this a reasonable correlation? Why or why no
This correlation is correct for a couple reasons. If the first movie ended in a cliff hanger, everyone w
see what happens next. Those people who have seen both movies, and enjoyed them, are more t
it. This could create a domino effect among people who haven't seen the movies, making them wa
the start.
A researcher states that a sequel to a successful movie will also be a success. Explain why this co
I believe revenue is going to rise. Based on the graphs, there is a consistant increase in visits per
revenue.
Based on your calculations, which one has a positive relationship? Explain. (5pts)
Monthly revenue and visitor traffic has a positive correlation. The data in the scatter plot is positive

7. " list and the schools' average SAT scores.
CONFIDENCE INTERVALS
cthatmakesyoudumb.com revealed the following:
r 10 and other previously learned concepts ofEven You Can Learn
1 paragraph, with 5 completesentences.

8. urement is.
al test.
ables.

9. ude? (4pts)
then it would be stronger; however, we can conclude that
ment to optimize the company's web site based on the
f data.

12. ain. (5pts)
han blackjack/21, involves some sort of strategy. A
s blown up among generations. I know kids as young as
ids my age. This game combines building, scraping for
the last one standing. I'll admit, the guns aren't the
endly, while keeping the same strategic thinking behind
ers. Why is this correlation inaccurate? (5pts)
hem want to try harder to beat that level. There are games
e player; however, they seem to be the most popular
y of finally beating that level is all worth it.
easonable correlation? Why or why not? (6pts)
different experience at a live show. The finale for many
age. Famous bans, like K.I.S.S., are seen doing this a lot. It
t all over their social media accounts, inadvertanely creating
elation? Why or why not? (6pts)
cliff hanger, everyone who saw it is more than likely to
njoyed them, are more than likely to tell their friends about
ovies, making them want to watch the whole series from
ess. Explain why this correlation is correct. (5pts)
nt increase in visits per month with a consistantly growing
. (5pts)
e scatter plot is positive and linear when graphed.