Math 8C Unit 3 – Statistics

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Presentation transcript:

Math 8C Unit 3 – Statistics

Unit 3 – Day 1 (U3D1) Standards Addressed: Create a scatter plot and label any trends and clustering. Explain why a linear model may fit a scatter plot and create a line of best fit for the data.

U3D1 Scatter Plots Scatter plots can be used to display trends in sets of data.

U3D1 Vocabulary A scatter plot is a graph that shows the relationship between data sets using ordered pairs in a coordinate plane.

Vocabulary What is a line of best fit? U3D1 Vocabulary What is a line of best fit? A line of best fit is a line drawn on a scatter plot that is close to most of the data points. The line models the trend (correlation) of the data. It can be used to estimate data on a graph or make predictions.

Vocabulary What is correlation? U3D1 Vocabulary What is correlation? A correlation, or trend, is how two sets of data are related. It’s the co- relation of the data.

Example Describe the trend and draw a line of best fit if possible. U3D1 Example Describe the trend and draw a line of best fit if possible. Positive Correlation

Example Describe the trend and draw a line of best fit if possible. No U3D1 Example Describe the trend and draw a line of best fit if possible. No Correlation

Example Describe the trend and draw a line of best fit if possible. U3D1 Example Describe the trend and draw a line of best fit if possible. Negative Correlation

U3D1 Example! The local ice cream shop keeps track of how much ice cream they sell versus the temperature on that day. Here’s what they found: What do you think this data would look like on a graph?

U3D1 Example! The local ice cream shop keeps track of how much ice cream they sell versus the temperature on that day. Here’s what they found: Correlation? Line of best fit? Positive

In Class Practice U3D1 - ICP

Unit 3 – Day 2 Standards Addressed: Create a scatter plot and describe any trends. Explain why a linear model may fit a scatter plot and create a line of best fit for the data Determine the equation of the line of best fit.

The table below shows your measurements. U3D2 You have been working on a science project for 8 months. Each month you have measured and recorded the length of a baby alligator in a table. The table below shows your measurements.

Graph the data in the table. U3D2 Use the following steps to predict the baby alligator’s length next September. Graph the data in the table. Draw the straight line that you think best approximates the points (line of best fit) Write an equation of the line you drew. Use the equation you wrote to predict the baby alligator’s length next September.