Capstone Project: Statistics
Objectives
Start
Story
Study Time & Performance
Quadratic Revenue
Population Growth
Summary
Story
Study Time & Performance
Alex's Data: Study vs. Scores
Alex tracks hours spent studying for five math tests and the corresponding scores.
Alex's Data: Study vs. Scores
Find the least-square fitting line for the study hours vs. scores data.
Try it by yourself:
Quadratic Revenue
Ben's Data: Price vs. Revenue
Ben sells a artisanal coffee beans and tracks the total revenue (in Japanese Yen, ¥) at different price points.
Ben's Data: Price vs. Revenue
Find the least-square fitting line for price and revenue of the artisanal coffee beans.
Try it by yourself:
Population Growth
Carla's Data: Follower Growth
Carla tracks the number of followers on a new school Instagram account over 10 days.
Carla's Data: Follower Growth
Model of school Instagram followers will be an exponential growth curve, find the best fitting exponential of the data by moving the sliders.
Try it by yourself:
Try it by yourself:
Summary:
Modeling of Data
Great job!
See you next time
Welcome 6th graders!
A journey soon begin through Social Science experiences!
6TH-INTRODUCTIONTORATIONALNUMBERS-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0
MA.912.DP.2 Solve problems involving univariate and bivariate numerical data. MA.912.DP.2.4 Fit a linear function to bivariate numerical data that suggests a linear association and interpret the slope and y-intercept of the model. Use the model to solve real-world problems in terms of the context of the data. MA.912.DP.2.8 Fit a quadratic function to bivariate numerical data that suggests a quadratic association and interpret any intercepts or the vertex of the model. Use the model to solve real-world problems in terms of the context of the data. MA.912.DP.2.9 Fit an exponential function to bivariate numerical data that suggests an exponential association. Use the model to solve real- world problems in terms of the context of the data. MA.K12.MTR.1: Actively participate in effortful learning both individually and collectively. MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively. ELD.K12.ELL.MA: Language of Mathematics ELD.K12.ELL.MA.1 English language learners communicate information, ideas and concepts necessary for academic success in the content area of Mathematics. MA.K12.MTR.7: Apply mathematics to real-world contexts. MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
MATERIAL
It is highly advised to have:
- Grid paper.
- Pencils of different colors.
- Eraser.
- A rule.
- A calculator.
- Geogebra installed on your phone/tablet/computer (or use online version).
Reinterpret Givens
Identify the Variables Plot the Data
Determine the Relationship
Linear Quadratic Exponential
Write Down the Equation
substituting the calculated constants ($m, b, a, b, c$).
Fit the Model to the Data
Using technology (like GeoGebra or a graphing calculator
Make Predictions
Use the equation to predict a value of $y$ for a given $x$, or vice-versa.
Interpret and Apply the Model
WEEK 32-CAPSTONE-PROJECT:-STATISTICS
VIMSCHOOL
Created on October 12, 2025
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Transcript
Capstone Project: Statistics
Objectives
Start
Story
Study Time & Performance
Quadratic Revenue
Population Growth
Summary
Story
Study Time & Performance
Alex's Data: Study vs. Scores
Alex tracks hours spent studying for five math tests and the corresponding scores.
Alex's Data: Study vs. Scores
Find the least-square fitting line for the study hours vs. scores data.
Try it by yourself:
Quadratic Revenue
Ben's Data: Price vs. Revenue
Ben sells a artisanal coffee beans and tracks the total revenue (in Japanese Yen, ¥) at different price points.
Ben's Data: Price vs. Revenue
Find the least-square fitting line for price and revenue of the artisanal coffee beans.
Try it by yourself:
Population Growth
Carla's Data: Follower Growth
Carla tracks the number of followers on a new school Instagram account over 10 days.
Carla's Data: Follower Growth
Model of school Instagram followers will be an exponential growth curve, find the best fitting exponential of the data by moving the sliders.
Try it by yourself:
Try it by yourself:
Summary: Modeling of Data
Great job!
See you next time
Welcome 6th graders!
A journey soon begin through Social Science experiences!
6TH-INTRODUCTIONTORATIONALNUMBERS-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0
MA.912.DP.2 Solve problems involving univariate and bivariate numerical data. MA.912.DP.2.4 Fit a linear function to bivariate numerical data that suggests a linear association and interpret the slope and y-intercept of the model. Use the model to solve real-world problems in terms of the context of the data. MA.912.DP.2.8 Fit a quadratic function to bivariate numerical data that suggests a quadratic association and interpret any intercepts or the vertex of the model. Use the model to solve real-world problems in terms of the context of the data. MA.912.DP.2.9 Fit an exponential function to bivariate numerical data that suggests an exponential association. Use the model to solve real- world problems in terms of the context of the data. MA.K12.MTR.1: Actively participate in effortful learning both individually and collectively. MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively. ELD.K12.ELL.MA: Language of Mathematics ELD.K12.ELL.MA.1 English language learners communicate information, ideas and concepts necessary for academic success in the content area of Mathematics. MA.K12.MTR.7: Apply mathematics to real-world contexts. MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
MATERIAL
It is highly advised to have:
Reinterpret Givens
Identify the Variables Plot the Data
Determine the Relationship
Linear Quadratic Exponential
Write Down the Equation
substituting the calculated constants ($m, b, a, b, c$).
Fit the Model to the Data
Using technology (like GeoGebra or a graphing calculator
Make Predictions
Use the equation to predict a value of $y$ for a given $x$, or vice-versa.
Interpret and Apply the Model