Math 136 – Super Awesome and Fun Project due April 26th by 11:59 PM Please send the 2 variables first because professor has to approve it then you can start to work on it)

For this project you will research a topic, collect data, and analyze the results. Your projectshould look like a formal report, with all of the charts and graphs included, and completesentences. It will be worth 50 points. You must submit your work as a pdf.

1. Choose an explanatory variable and a response variable.

a. The purpose of this assignment is to find if there’s a correlation between the two variables you chose. Your questions should have a quantitative response.
b. You must get approval of your variables by me before you start the project! *See bottom of page for help/guidelines* I don’t want two people using the same variable. Please consult the list of variables chosen so far before asking for my approval.
c. Some examples (that you may not use but to give you an idea):
i. E: Number of kids R: Number of alcoholic beverages you have per week
ii. E: Monthly income R: Number of pairs of shoes you own
iii. E: Hours spent studying for the CH 4/5/6 exam R: CH 4/5/6 exam score

2. Collect your data.
a. You will need to survey at least 25 people. Make sure to keep track of their nameswith their answers.
b. Since there is still a pandemic, please do not go outside and randomly survey infected strangers. You can call/text/email/DM your friends and family. You can also ask yourclassmates (from other classes too).
c. Write a small introduction about your variables and how you gathered the data.

3. Analyze the results.
a. Graph a scatter plot of your data (without a trendline). Make sure to properly labelyour axis.
i. Is your graph linear? Nonlinear? No relation? Positive? Negative?
b. State the mean and standard deviation of your explanatory variable, the mean andstandard deviation of your response variable, and the linear correlation coefficient (threedecimal places!).
i. Interpret the linear correlation coefficient.
c. Does a linear correlation exist? Explain why or why not.
d. What is the coefficient of determination? Explain your answer in context.
e. Find the Least Squares Regression Line. Show your work for finding b1 and b0 . Roundto three decimal places!
f. Graph a scatter plot of your data with the LSRL.
i. Are there any outliers? Is it an influential observation?
g. Interpret the slope, if appropriate. If not, explain why.
h. Interpret the y-intercept, if appropriate. If not, explain why.
i. Graph the residual plot of your data.
i. Based on this, is a linear model appropriate?
ii. Is the variance of the residuals constant?
j. Which data point has the largest residual?

4. Conclusion
a. Write a couple sentences summarizing your results, if a correlation exists, any waysyou could have improved or fine tuned your research, etc.

Questions to ask yourself before emailing professor your potential variables:

– Does this variable have a variety of answers? Are there at least 10 potential/realistic outcomes?

– Is this information too personal? Will the person be offended or embarrassed to answer?

– Do I know at least 25 people who can give me different answers to this?

– What is my time frame for this variable? Per day? Week? Month? Year?

– Do I truly believe there is a connection between these two variables?

– Which variable is my explanatory, and which is my response?

Variables Picked So Far (The ones you cannot use)

1. Number of hours worked
2. Number of fast food meals
3. Number of years worked
4. Number of times called out sick
5. Number of hours spent at school
6. Number of hours spent with friends
7. Weight
8. Number of reps
9. Number of hours of screen time
10. Number of units
11. Number of cousins
12. Number of countries traveled to
13. Number of years spent playing sports
14. Height
15. Number of years I’ve known someone
16. Amount they would be willing to lend
17. Years out of school
18. Annual income
19. Number of cities lived in
20. Number of “close” friends
21. Number of hours spent playing subscription-based games
22. Number of virtual friends
23. Hours spent on school work
24. Number of cups of coffee
25. Number of books owned
26. Number of hours spent reading
27. Number of friends on Snapchat
28. Number of months of having Snapchat
29. Number of hours spent shopping
30. Number of hours spent in car
31. Number of miles driven
32. Amount spent on repairs