## Classroom/Laboratory Activity: Linear Regression using Global Temperatures

A classroom/lab activity for Statistics teachers to teach about Linear Regression. This activity is based on a dataset on average global temperature anomalies from 1850 to 2019.

Students will learn about introductory linear regression techniques and will learn to make scatter plots of the data provided. This tool will allow the student to understand changes in the average global temperatures since the industrial revolution.

1. What is linear regression?
2. Plot the average global temperature anomalies on a scatter plot.
3. What are confidence intervals? What are the confidence interval slopes for global temperature at 25, 50, 100 and 150 years before 2019?
4. How have human activities impacted average global temperatures since the Industrial revolution?

 Tool Name Global Temperature Anomalies Discipline Mathematics and Statistics Topic(s) in Discipline Linear regression, Scatter Plot, Confidence Intervals Climate Topic Climate Variability Record Type of Tool Activity Grade Level High School, Undergraduate Location Global Language English Translation – Developed by IPCC, Thomas J. Pfaff (Ithaca College) Hosted at Sustainability Math Link Link Access Offline Computer Skills Basic

## Differential Calculus using Methane Data

A classroom/laboratory activity for Mathematics teachers to teach about Differential Calculus, specifically, about polynomial differentiation focusing on  Tangent Line Problem and Curve Fitting. This activity contains yearly data of the globally averaged marine surface methane from 1984 to 2019. Methane is a major contributor to greenhouse gas emissions – a potential cause of global warming.

Students will learn the use of scatter plot and curve fitting to derive the polynomial differentiation function. Further this activity will allow students to predict future methane concentrations.

1. What are polynomial differentiation functions?
2. Derive a polynomial function using the given methane concentration date.
3. Calculate future methane concentration using polynomial differentiation.