Scatterplot Creation and Understanding Relationships in Statistics
Learn how to create a scatterplot by entering data in L1 and L2, distinguish between explanatory and response variables, describe relationships using D.U.F.S method, understand the correlation coefficient, and interpret the strength and direction of a linear relationship. Gain insights into the essential concepts of scatterplots and analyzing quantitative data relationships.
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Presentation Transcript
Do Now Create a scatterplot following these directions Enter data in L1 and L2 (Stat-Edit) Make sure your Plot 1 is ON and a scatterplot To do this: Go to 2nd Y= Turn plot 1 ON Make sure 1stgraph is highlighted Hit Zoom 9 (Zoom - stat)
Lesson 3.1: Scatterplots and Describing a Relationship
Objectives Distinguish between explanatory and response variables for quantitative data. Make a scatterplot to display the relationship between two quantitative variables Describe the direction, form, and strength of a relationship displayed in a scatterplot and identify unusual features.
A response variable measures an outcome of a study. An explanatory variable may help predict or explain changes in a response variable.
Important Ideas Explanatory- always on x axis (horizontal) Response always on y axis (vertical) D.U.F.S Direction Unusual Features or outliers Form Strength
Do now- Describe the following relationships using D.U.F.S
Correlation Coefficient The correlation r is a measure of the strength and direction of a linear relationship between two quantitative variables. The correlation r is a value between -1 and 1 (-1 r 1). If the relationship is negative, then r < 0. If the relationship is positive, then r > 0. If r =1 or r = -1, then there is a perfect linear relationship. In other words, all of the points will be exactly on a line. If there is very little scatter from the linear form, then r is close to 1 or -1. The more scatter from the linear form, the closer r is to 0.
To Calculate r. 1. Hit 2nd0 (Brings us to CATALOG) 2. Scroll alllllll the way down to DiagnosticON need to do this once, unless your calculator is reset or you use a different one) 3. Hit enter 4. And enter again. Should say Done 5. Enter data into L1 and L2 (Stat-Edit) 6. Then Stat-Calc LinReg (a+bx) This is #8, not #4 7. r is your correlation coefficient! (you only
Do now Finish the front page of lesson 3.1 day 2 handout
