Name______Date______
8H Project
8H Scatter Plot Project
Overview:
During the next few weeks you will complete an Honors project for mathematics in which you will be researching data relationships. You have two major tasks to fulfill.
1) Create a scatter plot using bivariate data.
- Depending upon the topic that you choose, you must collect 20 pieces of data.
- Identify the relationship (correlation) between the independent
and dependent variables from your scatter plot.
- Construct a reasonable line of best fit for your scatter plot and determine the equation of that line.
2) Summarize your findings in a one-page paper. Include the following
information:
- Explain your topic. What were you trying to determine?
- Were your results as you predicted them to be? Explain.
- What are the correlations that exist?
- Is the relation causal?
- How did you determine your line of best fit?
- Make a conjecture using your line of best fit about future findings.
Create a display to exhibit your entire study, which is to be presented at the Math Fair. The display can be a tri-fold display board which contains a title page, the scatter plot, the data that was collected, and the summary paper, or it can be a PowerPoint presentation. The PowerPoint presentation must also include a title page, the data, the scatterplot with a line of best fit, and the summary paper. Don’t forget to include a title on whichever display model you choose.
Title page- See example
Title of Project
Student’s name
Teacher’s name
Period of 8H class
March 10, 2016
Be certain to look at the checklist and rubric to make sure that all components are satisfied!
PROJECT DUE - March 2, 2016
TOPICS FOR SCATTER PLOTS
You may choose one of these topics for your scatter plot project.
1) Heart beats per minute before and after exercise
2) Height and Arm Span (Use a yardstick or a meter stick)
3) Time elapsed and temperature of water
4) Number of people in a household and the electric usage for a month
5) Shoe size and height
6) Fat grams and the total calories in fast food
7) Birthrate per country and total energy production per country
8) Height and weight
STUDENT CHECKLIST
_____I chose an area to research and/or survey.
_____I collected bivariate data – two different measures of data.
_____I organized my data by creating a table.
_____I created a coordinate plane that is scaled appropriately, with all necessary labels/titles.
_____I plotted my data on my coordinate plane.
_____I found a reasonable line of best fit and drew it on my graph.
_____I found the equation of the line of best fit.
_____I concluded what type of correlation exists between the bivariate data.
_____I made a conjecture about future findings.
_____I wrote a one-page paper explaining how I conducted my data collection, summarizing my findings and stating my conjecture.
HONORS PROJECT DUE DATES
Topic Selected with Parent’s Signature - February 3, 2016
Data Collection Completed and Organized – February 23, 2016
FINAL PROJECT DUE – March 2, 2016
BMS Math Fair – March 10, 2016
By signing below, I understand the expectations and guidelines of the BMS Math Honors Project.
Name:______
Teacher:______Period______
Topic:______
Student Signature:______
Parent Signature:______
Websites for generating online scatterplots
http://www.alcula.com/calculators/statistics/scatter-plot/
This statistics calculator allows you to input x and y values for the independent and dependent variables. A scatter plot is generated.
https://www.easycalculation.com/graphs/scatter-plot.php
You are able to enter the title of your scatterplot in addition to x and y values.
http://www.endmemo.com/plot/scatterplot.php
This website allows you to enter the title, x and y values and labels for a scatterplot.
Websites for data for topics 5, 6 and 7
#5 Shoe Size and Height
rjdick.weebly.com/uploads/9/7/3/7/9737306/1040_final_project.docx
#6 Fast Food Restaurants & Nutrition Facts Compared
http://www.acaloriecounter.com/fast-food.php
Fast Food Breakdown Burgers
http://www.popsugar.com/fitness/How-Many-Calories-Fat-Popular-Fast-Food-Burgers-770693
#7 Birthrate per country
http://data.worldbank.org/indicator/SP.DYN.CBRT.IN
Index Mundi
http://www.indexmundi.com/g/r.aspx?v=25
List of countries by electricity production
https://en.wikipedia.org/wiki/List_of_countries_by_electricity_production
Energy Information Administration
https://www.eia.gov/cfapps/ipdbproject/IEDIndex3.cfm?tid=44&pid=44&aid=2
Scatter Plots: Graphing Calculator Solutions
Ascatter plotis a graph used to determine whether there is a relationship between paired data.In many real-life situations, scatter plots follow patterns that are approximately linear. Ifytends to increase asxincreases, then the paired data are said to be apositive correlation. Ifytends to decrease asxincreases, the paired data are said to be anegative correlation. If the points show no linear pattern, the paired data are said to haverelatively no correlation. /
To set up a scatter plot:
Clear (or deactivate) any entries in "Y=" before you begin.
1.Enter the X data values inL1. Enter the Y data values inL2, being careful that each X data value and its matching Y data value are entered on the same horizontal line.
(SeeBasic Commandsfor entering data.) /
2.Activate the scatter plot. Press2nd STATPLOTand choose#1 PLOT 1. You will see the screen at the right. Be sure the plot isON, the scatter plot icon is highlighted, and that the list of the X data values are next toXlist,and the list of the Y data values are next toYlist.Choose any of the three marks.
3.To see the scatter plot, pressZOOMand#9 ZoomStat. HittingTRACEand right arrow will move along the data points.
4. To turn the scatter plot off, when you are finished with this problem:
Method 1: Go to theY=screen. Arrow up onto thePLOThighlighted at the top of the screen.
PressENTERto turn it off.
Method 2:Go toSTAT PLOT(aboveY=). Choose yourPLOTlocation. Arrow toOFF.
PressENTERto turn it off.
Line of Best Fit
Graphing Calculator Solution:
1. Enter the data in the calculator lists. Place the data inL1andL2.
STAT, #1Edit, type values into the lists /
2.Prepare a scatter plot of the data. Set up for the scatterplot.
2ndStatPlot- choices shown at right.
ChooseZOOM #9 ZoomStat.Graph shown below.
/
3. Have the calculator determine the line of best fit.
STAT → CALC #4 LinReg(ax+b)
Include the parametersL1, L2, Y1.
(Y1comes fromVARS → YVARS, #Function, Y1)
You now have the values ofaandbneeded to write the equation of theline of best fit. See values at the right.
y= 11.73128088x+ 193.8521475
/
4.Graph the line of best fit. Simply hitGRAPH.
To get a predicted valuewithin the window, hit TRACE, up arrow, and type the desired value.
The screen above showsx= 22.
/
Question:Predict the total calories based upon 22 grams of fat.
ANS:451.940 calories
Compare this answer with the answer we got by hand.