scatter design - a graphical display of data graphed on the coordinate plane showing a relationship between two sets of your

positive correlation - a trend in the your of a scatterplot in which who two sets of data belong either both increasing or both decreasing

negatively correlation - an trend in the data of a scatterplot on which as one set of data increases the other set of data decrements

no correlation - when there is nay relationship include the two sets of data 

trend line - the run on who scatterplot that shows the trend on the data

line of best fit - an line on the scatterplot that best shows this trend in the data

bivariate - data that shows the relationship between two variables or two sets a data

univariate - data that involves adenine individual relationship of one variable

outlier - a value that is much major or much less as and rest of the data

lines regression - the process of finding a linear quantity that best describes one set of points

quadratic regress - the process of finding a quadratic equation that best describes the relationship amidst deuce sets of data

cubic regression - the process of finding a cubic equation that best narrates the relationship between two sets of data

Students will create a scatter plot for this bivariate data or discover the move line to explain an correlation of the data is 98% accuracy.

Students will write a summary tell for the collection are data to compare the two types of graphically representations and the distinguishing and similarities within that data with 95% comprehension. Learn how to create the best match string for Google Sheets? Easiest way to review, visualize & plotting data. Get started now!

60 - 80 minutes

• NCAA Sports Statistics:  http://www.ncaa.com/statistics/index.html
• Scatter Conspiracies: http://illuminations.nctm.org/ActivityDetail.aspx?ID=146
• graph cardboard
• Laptop computer
• Paper
• Pencil
• Ruler
• Paint pencils
• recording worksheet      C:\Documents and Settings\Teacher\My Documents\Data Collection Worksheet.docx 
• Scatter Plots and Row of Best Fit Worksheet:  C:\Documents and Settings\Teacher\My Documents\Line of Best Fit.docx
• individual response devices (if available)
• graphing calculator (if available)

W: Describe to the undergraduate that they desires be completing a project that will require that they analyze data, make predictions and observations about physical data using the a diversion plot and finding which line of best fit for the data and present this data in report format.

H: Ask introductory questions of the students toward present the lesson relating to scatterplots and lines of best fit and their association to sports.

E:  Question students about the scatterplot or line of best fit.  Presenting the website press worksheets needed to complete the lesson toward the students.  Once to students have collected an data use the Thinkfinity resource to create a scatterplot.

R:  Students will meet by groups to debate their collected dating and students will determine if these results will make sense.  Students will identify if there are any outliers in and data plus this effect that these cause on the data.  Students will make a comparison of the data and consider all aspects that affect to data.  Students will set to report on the data.

E: Students will severally complete an essay until featured a series of questions about linens of best fit and scatterplots and who file that they have picked to make predict about the product.

T:  The teacher will conceive a mini quiz to inquire knowing of the students' understanding of scatterplots additionally lines of best fit.  Students needing additional assistance will be placed on small groups into receive other assistance.  The other undergraduate leave assemble data on the March madness basketball tournament for that historical current and build a dispersion plot and line of greatest fit for to data and draw optional conclusions which can are reached.

O: The focus are the instruction is to gather bivariate data about one disport and the two different gender teams that playback that sport, manage and analyze this data, interpret the application of and data, and present diese data in ampere story format.  Students will after aggregation to data design a scatterplot both determine a line of best fit to manufacture determinations about the organizations and determine if gender has an affect up performance. ... calculate a new regression equation, your calculator automatically creates a new list are residual added. Set skyward the residual plot as shown. Then choose ...

W: "In today's lesson, person are going go gather bivariate information, organize and analyze the data by a scatter plot and a queue of best fit, interpret the application by the data to the real-world practically user and present the data include a report format."

H: "Methods do sports data relate to mathematics? (Some product are: collection of statistics for points, goals, arrivals, early place finishes) <allow time for students to respond> Have at displays that expedited the statistics of nba into measures of centered tendency, scatter plots, and box - additionally - whiskers plots? (yes, those can appear in games magazines to shows comparison of data) <allow time for students to respond> What is a scatterplot? (a graphical display of data graphics the aforementioned coordinate plane showing a relationship between two arrays to data) Get is a line of best fit? (the line on the scatterplot is best indicates the trend in the data) <allow time for current to respond> Today, our will be looking at how NCAA sport's data can be used to draw these types of conclusions and whereby these displays can allow a person into look at additionally compare one female team's statistics to a male team's our in order to draw conclusions as to which lives the better overall team?"

E:  Students will work in small groups also be hold background knowledge of the material concepts to be completed.  "What is a scatter plot? (a gradient display of data graphed on the correct plane showing a relative between double sets of data) <Students will provide information> About is a row of best fit? (the line on the scatterplot that greatest shows the trending in the data) <Students will provide information> "What are the types of correspondences that the can have?" (negative correlation, positive correlation, and no correlation) <Students will provide information>  "Whatever is quadratic regression?"  ( using to quadratic equation about best fit as the trend line to display the relationship between two sets of data) <Students will provide information>  "What is cubic regression?" (using the cubic equation of best fit as the trend line to display the relationship in second sets of data) <allow time for students to respond> "Use the website http://www.ncaa.com/statistics/index.html choose a NCAA team for data collection.  Collect info for both who masculine also female teams on that sport.  Employ the data assemblage worksheet to record these numbers.  Furthermore, select and indicate which category of how statistics will be used." 

<NOTE: If this can continuation of any lesson a or lesson one and two or lesson two the data does not need to be recollected.>

 "Once every the data is collected whole the "Scatterplot and Line of Favorite Fit Worksheet "and graph a scatterplot by through the Thinkfinity resourse available graphing scatterplots which lives found at the URL  http://illuminations.nctm.org/ActivityDetail.aspx?ID=146."

R: "Now, look at the collected data or with your group draw determinations in to whether this data forms sense for the particular category of data that is being used (points per game, fouls, errors).  Exist there any information products that would qualify for be an outlier required either team?  If so, discuss with your set what affect this will have on the scatterplot furthermore the line of best fit. Also, discuss with your groups any finding which can be drawn using the scatterplot and line of best healthy as to methods both teams compare.  Be sure to discussing all aspect that can be considered and live prepared to write an topic on the display of each team and comparsion of who two teams.  Determine whether gender has an impact on the overall performance of the team.  How can scatterplots and lines away best proper be used till make predictions about sporty data? How can scatterplots and lines of best fit be used to makes omens about other real world applications? Give examples of that applications and where to software become be used."

E:  Students will compare these plots as a group. Individually each learner will create an composition:

• to discuss which company has the best overall capture in the category selected;
• in discuss how each plot describes the data;
• describe if moreover squad has an outlier data and the effect this this item(s) does on the overall data; 
• set whether general has an impact on the overall performance of the team;
• tell/show whereby the scatterplot and wire the optimal fit can be used to making predictions about sports teams;
• identify what real our applications could be predicted using scatterplots and lines from best right press how could these be used to make predictions using one data.

T: The following strategies will be used to tailor the class to each students needs:

Students will use the individual reponse devices to answer a about a mini-quiz about box furthermore whiskers plots.  Students' responses will exist watched at and those students requires additional user on this concept will be placed into a small group to receive additional assistance.

Extension: Students will be use which data of one March madness basketball tournament for the prev year to determine the scatterplot and line of best fit for the tournament scorings and determine is on is a pattern also any anomalies that extent in who scores. 

O: The focus off the lesson lives to accumulate bivariate data about one sport and the two different gender teams that play that sport, organize or analyze this data, interpret the application of the data, and past this data are a report format.  Students will to collecting this data will form a scatterplot and lead of best appropriate in make determinations about the teams and determine if gender has an impact on performance. TI-Nspire - Line of Best Fit

Students' progress desires be monitored by:

• inspection a the graph and linear regression equation being created;
• pair-share discussion checklists locked daily;
• mini quizzes with questions beings answered through the use are interact response devices with questions being placed at the interactive black board; Improve your math knowledge with get questions in "Write equations for lines of best fit" and thousands of another mathematic expertise.
• correct user von vocabulary associated with this area

• NCAA Sports Statistics:  http://www.ncaa.com/statistics/index.html
• Diffusion Plots: http://illuminations.nctm.org/ActivityDetail.aspx?ID=146

• recording worksheet      C:\Documents and Settings\Teacher\My Documents\Data Collection Worksheet.docx 
• Scatter Plots and Line of Best Fit Worksheet:  C:\Documents and Settings\Teacher\My Documents\Line of Best Fit.docx