Scatter Plots & Lines of Fit | HSS.ID.B.6 🖤

In this video lesson we will learn about the relationship between two data sets displayed in a a graph called a Scatter Plot. We will discover that a scatter plot display data represent two data sets to determine if there is a relationship. The relationship is referred to as correlation Correlation could be positive, negative or no correlation. The "trend" in the data could be linear or nonlinear. We will learn to draw a trend line that lies between the data points with as many data points above the line as below the line. We will use points on the line to write the equation of the line of fit. We will interpret the slope and y-intercept of the line and use the line to predict data not displayed on the graph. Student practice is embedded in the lesson with modeled exemplar solutions.
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00:00 Introduction
00:34 What is a Scatter Plot?
01:04 Types of Correlation
02:10 Linear and Nonlinear Trends
02:42 Read & Interpret a Scatter Plot
05:02 Line of Fit
05:39 Steps to Creating & Writing a Line of Fit
06:46 How to Write the Equation for a Line of Fit
08:27 Interpret the Line of Fit
09:40 Using the Equation to Predict
10:41 Student Practice #1
11:37 Student Practice #2
12:47 Student Practice #3
14:10 Student Practice #4
Common Core Math Standards
Interpret expressions for functions in terms of the situation they model.
HSF.LE.B.5 Interpret the parameters in a linear or exponential function in terms of a context.
HSS.ID.B.6.A Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.
HSS.ID.B.6.C Fit a linear function for a scatter plot that suggests a linear association.
Interpret linear models
HSS.ID.C.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.