Scatterplots and Linear Regressions Unit 8. Warm – up!! As you walk in, please pick up your calculator and begin working on your warm – up! 1. Look at.

Slides:

Advertisements

Similar presentations

AP Statistics Section 3.1B Correlation

Advertisements

A recent newspaper article reported that the number of personal computers being sold is increasing. In addition, the number of athletic shoes being sold.

EXAMINING RELATIONSHIPS Section 3.2 Correlation. Recall from yesterday…  A scatterplot displays form, direction, and strength of the relationship between.

5/16/2015 V. J. Motto 1 Chapter 1: Data Sets and Models V. J. Motto MAT 112 Short Course in Calculus.

Bivariate Data – Scatter Plots and Correlation Coefficient…… Section 3.1 and 3.2.

5-7: Scatter Plots & Lines of Best Fit. What is a scatter plot?  A graph in which two sets of data are plotted as ordered pairs  When looking at the.

FACTOR THE FOLLOWING: Opener. 2-5 Scatter Plots and Lines of Regression 1. Bivariate Data – data with two variables 2. Scatter Plot – graph of bivariate.

The Line of Best Fit Linear Regression. Definition - A Line of Best or a trend line is a straight line on a Scatter plot that comes closest to all of.

Scatter-plot, Best-Fit Line, and Correlation Coefficient.

5-7 Scatter Plots. _______________ plots are graphs that relate two different sets of data by displaying them as ordered pairs. Usually scatter plots.

Researchers, such as anthropologists, are often interested in how two measurements are related. The statistical study of the relationship between variables.

Bivariate Data Pick up a formula sheet, Notes for Bivariate Data – Day 1, and a calculator.

Objective: I can write linear equations that model real world data.

2-5 Using Linear Models Make predictions by writing linear equations that model real-world data.

2-5: Using Linear Models Algebra 2 CP. Scatterplots & Correlation Scatterplot ◦ Relates two sets of data ◦ Plots the data as ordered pairs ◦ Used to tell.

10/18/2015 V. J. Motto 1 Chapter 1: Models V. J. Motto MAT 112 Short Course in Calculus Data Sets and the “STAT” Function.

Correlation Correlation is used to measure strength of the relationship between two variables.

Draw Scatter Plots and Best-Fitting Lines Section 2.6.

Scatter Diagrams Objective: Draw and interpret scatter diagrams. Distinguish between linear and nonlinear relations. Use a graphing utility to find the.

12/5/2015 V. J. Motto 1 Chapter 1: Linear Models V. J. Motto M110 Modeling with Elementary Functions 1.4 Linear Data Sets and “STAT”

3.3 Correlation: The Strength of a Linear Trend Estimating the Correlation Measure strength of a linear trend using: r (between -1 to 1) Positive, Negative.

2-7 Curve Fitting with Linear Models Warm Up Lesson Presentation

Section 2.6 – Draw Scatter Plots and Best Fitting Lines A scatterplot is a graph of a set of data pairs (x, y). If y tends to increase as x increases,

Section 6 – 1 Rate of Change and Slope Rate of change = change in the dependent variable change in the independent variable Ex1. Susie was 48’’ tall at.

5.7 Scatter Plots and Line of Best Fit I can write an equation of a line of best fit and use a line of best fit to make predictions.

For all work in this unit using TI 84 Graphing Calculator the Diagnostics must be turned on. To do so, select CATALOGUE, use ALPHA key to enter the letter.

5.4 Line of Best Fit Given the following scatter plots, draw in your line of best fit and classify the type of relationship: Strong Positive Linear Strong.

Correlation The apparent relation between two variables.

Scatter Plots, Correlation and Linear Regression.

2.5 Using Linear Models A scatter plot is a graph that relates two sets of data by plotting the data as ordered pairs. You can use a scatter plot to determine.

9.1 - Correlation Correlation = relationship between 2 variables (x,y): x= independent or explanatory variable y= dependent or response variable Types.

Sec. 2-4: Using Linear Models. Scatter Plots 1.Dependent Variable: The variable whose value DEPENDS on another’s value. (y) 2.Independent Variable: The.

When you finish your assessment In 2-3 complete sentences answer each question 1. How is the first unit going for you so far in this class? 2. If you are.

2.5 Using Linear Models P Scatter Plot: graph that relates 2 sets of data by plotting the ordered pairs. Correlation: strength of the relationship.

AP Statistics HW: p. 165 #42, 44, 45 Obj: to understand the meaning of r 2 and to use residual plots Do Now: On your calculator select: 2 ND ; 0; DIAGNOSTIC.

Yes no = -9= 0 = -4 = -5/6.  Students will learn: ◦ To write an equation for a line of best fit and use it to make predictions. The trend line that.

.  Relationship between two sets of data  The word Correlation is made of Co- (meaning "together"), and Relation  Correlation is Positive when the.

Day 102 – Linear Regression Learning Targets: Students can represent data on a scatter plot, and describe how the variables are related and fit a linear.

Unit 3 Section : Regression Lines on the TI  Step 1: Enter the scatter plot data into L1 and L2  Step 2 : Plot your scatter plot  Remember.

Wednesday Today you need: Whiteboard, Marker, Eraser Calculator 1 page handout.

Regression and Median Fit Lines

1.5 Linear Models Warm-up Page 41 #53 How are linear models created to represent real-world situations?

6.7 Scatter Plots. 6.7 – Scatter Plots Goals / “I can…”  Write an equation for a trend line and use it to make predictions  Write the equation for a.

Using the Calculator to Graph Scatter Plots. Everything we just learned about Scatter Plots we will now do with the calculator. Plot points Plot points.

Section 1.3 Scatter Plots and Correlation.  Graph a scatter plot and identify the data correlation.  Use a graphing calculator to find the correlation.

Lines of Best Fit When data show a correlation, you can estimate and draw a line of best fit that approximates a trend for a set of data and use it to.

Goal: I can fit a linear function for a scatter plot that suggests a linear association. (S-ID.6)

Wednesday: Need a graphing calculator today. Need a graphing calculator today.

UNIT 8 Regression and Correlation. Correlation Correlation describes the relationship between two variables. EX: How much you study verse how well you.

Fitting Lines to Data Points: Modeling Linear Functions Chapter 2 Lesson 2.

1.6 Modeling Real-World Data with Linear Functions Objectives Draw and analyze scatter plots. Write a predication equation and draw best-fit lines. Use.

Correlation & Linear Regression Using a TI-Nspire.

Linear Regression, with Correlations Coefficient.

A) What is the probability for a male to want bowling to the total number of students? b) Given that a student is female, what is the probability that.

Warm Up Scatter Plot Activity.

Warm Up Practice 6-5 (p. 78) #13, 15, 16, 18, 22, 25, 26, 27, 31 – 36

Lines of Best Fit #1 When data show a correlation, you can estimate and draw ____________________ that approximates a trend for a set of data and use it.

5.7 Scatter Plots and Line of Best Fit

Exercise 4 Find the value of k such that the line passing through the points (−4, 2k) and (k, −5) has slope −1.

1.3 Modeling with Linear Functions

MATH 1311 Section 4.4.

Warm Up Please sit down and clear your desk. Do not talk. You will have until lunch to finish your quiz.

A correlation is a relationship between two variables. 

Scatter Plots and Best-Fit Lines

4.9 Modeling with Polynomial Functions

y = mx + b Linear Regression line of best fit REMEMBER:

Linear Models We will determine and use linear models, and use correlation coefficients.

Applying linear and median regression

Scatter Plots That was easy Year # of Applications

Presentation transcript:

Scatterplots and Linear Regressions Unit 8

Warm – up!! As you walk in, please pick up your calculator and begin working on your warm – up! 1. Look at the scatter plot to the right. What is the correlation? 2. What is the slope? 3. Describe the data. 4. Write an equation that describes an initial value of 85 and a rate of 34.

What is a Scatter Plot? Trend Line: A line drawn near the points in a scatter plot. ** Can help show positive, negative, or no correlation.**

Line of Best Fit: The trend line that shows the relationship between two sets of data most accurately. In order to find the Line of Best Fit, you are going to use Linear Regression.

Using Linear Regression to find the Line of Best Fit To find the equation for the Line of Best Fit, Grab your CALCULATOR and turn it on. Steps to press in your calculator. Step 1: Turn on your Diagnostic. Once you turn this on for the first time, you do not have to continue doing this step. Press 2 nd Press 0 Scroll down to Diagnostic On Press ENTER twice *Note: Your screen must say Done. Step 2: Enter your data into L1 and L2. Press STAT Press ENTER Type your data into L1 and L2

Using Linear Regression to find the Line of Best Fit Step 3: After you have entered your data into L1 and L2, go back to your main screen. Press 2nd Press MODE Step 4: Find the equation for the Line of Best Fit. Press STAT  to CALC  Press 4 (LinReg(ax+b)) Press VARS Over to Y-VARS Press ENTER three times Line of Best Fit: Describe the Correlation:

Your Screen Should Look Like This: Slope Y – intercept Correlation Coefficient *Note: If r² and r don’t show up, you need to go back and turn on your Diagnostic! On the calculator screen, notice that there is a variable called r → this represents the correlation coefficient, which tells how closely the line of best fit models the data.

Describing the Correlation Describing the correlation If r is a negative number, it has a Negative correlation. If r is 0, it has No correlation. If r is a positive number, it has a Positive correlation. The closer r is to 1 or –1, the Stronger the correlation is. In other words, the data gathers more closely around the line of best fit. A strong correlation ranges from 0.8 to 1.0 OR -1.0 to -0.8 A moderate correlation ranges from 0.6 to 0.8 OR -0.8 to -0.6 A weak correlation ranges from 0 to 0.6 OR -0.6 to 0

Example 1: Find the Line of Best Fit, Describe the Correlation, and find the correlation coefficient. XY Line of Best Fit: Positive, Negative, or No Correlation: R =

Example 2: Find the Line of Best Fit, Describe the Correlation, and find the correlation coefficient. XY Line of Best Fit: Positive, Negative, or No Correlation: R =

You Try!! Find the Line of Best Fit, Describe the Correlation, and find the correlation coefficient. XY Line of Best Fit: Positive, Negative, or No Correlation: R =

Practice!!