1 / 11

Algebra 2

Algebra 2. 2.5 Correlation and Best Fitting Lines. Learning Targets. Students should be able to… Use a scatter plot to identify the correlation shown by a set of data. Approximate the best-fitting line for a set of data. EQ:  How can you graph, write, and evaluate linear functions?

sigourney-buckley
Download Presentation

Algebra 2

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Algebra 2 2.5 Correlation and Best Fitting Lines

  2. Learning Targets • Students should be able to… • Use a scatter plot to identify the correlation shown by a set of data. • Approximate the best-fitting line for a set of data. • EQ: How can you graph, write, and evaluate linear functions? What is rate of change, and how do we see it applied to real-life?

  3. Warm-up • Find the slope of the line through (1, 4) and (-5, -2) 2. Find an equation of the line through the pair of points (-2, 5) and (1, -1)

  4. Go over Quiz • 2.1 – 2.4 Quiz

  5. Vocabulary • Scatter Plot- is a graph used to determine whether there is a relationship between paired data.

  6. Correlation Negative Correlation Positive Correlation No correlation As x increases y tends to decrease As x increases y tends to increase The points show no linear pattern

  7. Best Fit Line • When data shows a positive or negative correlation, you can approximate the data with a line. Finding the line that BEST fits the data can be done by hand or by graphing calculator. Today, we will look at how to do it by hand.

  8. Approximating a Best-Fitting Line: Graphical Approach Step 1: Carefully draw a scatter plot of the data. Step 2: Sketch the line that appears to follow most closely the pattern given by the points. There should be as many points above the line as below it. Step 3: Choose two points on the line, and estimate the coordinates of each point. These two points do not have to be original data points. Step 4: Find an equation of the line that passes through the two points from Step 3. This equation models the data.

  9. Example 1 Example: The data pairs give the number of U.S. births from 1990 to 1997, where x is years since 1990 and y is in thousands. (0,4158) (1,4111) (2,4065) (3, 4000) (4, 3953) (5, 3900) (6, 3891) (7, 3895) • Plot the data points on the graph provided to determine if there is a positive, negative or no correlation of the data. 2. Draw a line that has about equal number of dots below and above the line. 3. Find the equation of the line.

  10. Closure

  11. Homework • Section 2.5 • Page 104 – 105 • #6 – 12, 24, 25

More Related