Do Now Create a scatterplot following these directions

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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 1st graph 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.

Equation

Equation

Guess the Correlation

To Calculate r…. Hit 2nd 0 (Brings us to CATALOG) Scroll alllllll the way down to DiagnosticON (you only need to do this once, unless your calculator is reset or you use a different one) Hit enter And enter again. Should say “Done” Enter data into L1 and L2 (Stat-Edit) Then Stat-Calc –LinReg (a+bx) This is #8, not #4 r is your correlation coefficient!

Do now Finish the front page of lesson 3.1 day 2 handout

Lesson 3.1 Day 2