Scatter Plots

Correlations and Line of Best Fit

Instructions

In this Smore, there are 6 tasks. You are work on each task at your own pace as we move through the lesson on scatter plots. The final product (all 6 tasks) are due next Wednesday (April 16th). Your test on Scatter Plots will be next Thursday (April 17th).


Follow the directions provided before each task. As needed, each task should be completed on a separate sheet of paper. Your work should be shown neatly. These tasks will be a cumulative grade, but you will also be assessed on how neat your assignments are.


As we move through the week and you are working on the tasks, you may ask questions for assistance as you need it. We will work through some of the problems together as a whole class as well.

Scatter Plots Reference Guide

Click on the link below to look over some notes on Scatter Plots. The notes provide examples of scatter plots, define all three types of correlations, and explain how to find the line of best fit.


At the bottom of the notes website are 12 questions. Try to answer all the questions.

Types of Correlations

Task 1: Practice Identifying Correlation

On a separate piece of paper, label the correlation that you suspect would be demonstrated by each: (positive, negative, or no correlation) for # 1-15.

Task 2: Practice Constructing Scatter Plots

Click the link below to begin practicing constructing scatter plots. When you have completed 5 questions correctly, screenshot the page (Command, Shift, 3) and save the screenshot to your math folder as Task #2

Line of Best Fit

Drawing Line of Best Fit

When you are sketching a line of best fit, your goal is to have an equal amount of data points on both sides of the line.

Calculating Line of Best Fit

Pick two points on the "line". Find the equation (in point slope form) by finding the slope and then using the slope and one of the points to find the y-intercept.


Ex: (9,9) (1,5)

Slope: y-y/x-x

9-5/9-1 = 4/8 = 1/2

y = mx + b

5 = 1/2(1) + b

5 = 1/2 + b

9/2 = b


Line of Best Fit: y = 1/2x + 9/2

Task 3: Line of Best Fit Practice

When you are finished, screenshot the page (Command, Shift, 3) to record your score. Save this screenshot in your math folder as Task #3.

Interpolation & Extrapolation

Practice Worksheets

Task 4: Practice Worksheet #1

Ask teacher for the practice worksheet. Work on the assignment independently.

Worksheet can be found at:

http://shamokinmath.wikispaces.com/file/view/line%20of%20best%20fit.pdf/404034640/line%20of%20best%20fit.pdf

Task 4: Practice Worksheet #2

On a separate sheet of paper complete the practice worksheet independently. You may use graph paper to complete numbers 2 and 3.

Create Your Own Scatter Plots

Scatter Plot Creator

Use the information in the pictures below to create scatter plots on the website. Then use the information in the scatter plot to answer any questions that follow.

Task 5: Practice Question #1

Construct a scatter plot using the Scatter Plot Creator (button above). When scatter plot is complete, call over your teacher to check your work. Download the final product and save it into your math folder. Title the file as Task 5 #1.

Task 5: Practice Question #2

Construct a scatter plot using the Scatter Plot Creator (button above). When scatter plot is complete, call over your teacher to check your work. Download the final product and save it into your math folder. Title the file as Task 5 #2.

Line of Best Fit: Calculator Instructions

Task 6: Practice Question #1

Use your calculator and the directions above to answer the following questions.

Task 6: Practice Question #2

Use your calculator and the directions above to answer the following questions.