FHSChapter 11 Scatter Plots and Lines of Best Fit PS.1.AC.4: Apply probability to real-world situation such as weather prediction, game theory, fair division,

Slides:

Advertisements

Similar presentations

1.5 Scatter Plots and Least Squares Lines

Advertisements

5.4 Correlation and Best-Fitting Lines

Statistics E4 Scatter Plots.

1-4 curve fitting with linear functions

Scatter Plots Find the line of best fit In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with.

Lesson 5.7- Statistics: Scatter Plots and Lines of Fit, pg. 298 Objectives: To interpret points on a scatter plot. To write equations for lines of fit.

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- another type of visual display used to explore the relationship between two sets of data, represented by unconnected points on a grid. 2.

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

Correlation and regression lesson 1 Introduction.

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

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.

Prior Knowledge Linear and non linear relationships x and y coordinates Linear graphs are straight line graphs Non-linear graphs do not have a straight.

1 Copyright © 2015, 2011, and 2007 Pearson Education, Inc. Start- Up Day 10.

Linear Models and Scatter Plots Objectives Interpret correlation Use a graphing calculator to find linear models and make predictions about data.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–4) CCSS Then/Now New Vocabulary Key Concept: Scatter Plots Example 1:Real-World Example: Use.

Describe correlation EXAMPLE 1 Telephones Describe the correlation shown by each scatter plot.

1.3 The Power of Visualizing Data - Trends. Example 1 a) Create a scatter plot. Year Number of Homicides

Sec 1.5 Scatter Plots and Least Squares Lines Come in & plot your height (x-axis) and shoe size (y-axis) on the graph. Add your coordinate point to the.

FHSChapter 11 Display Data PS.1.AC.4: Apply probability to real-world situations such as weather prediction, game theory, fair division, insurance tables,

Section 4.1 Scatter Diagrams and Correlation. Definitions The Response Variable is the variable whose value can be explained by the value of the explanatory.

y = b x base exponent b > 0 b ≠ 1  Exponent - The exponent of a number says how many times to use the number in a multiplication For example 2 3 = 2.

Draw Scatter Plots and Best-Fitting Lines Section 2.6.

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”

CHAPTER curve fitting with linear functions.

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.

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 Diagram of Bivariate Measurement Data. Bivariate Measurement Data Example of Bivariate Measurement:

Foundations for Functions Chapter Exploring Functions Terms you need to know – Transformation, Translation, Reflection, Stretch, and Compression.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–4) Then/Now New Vocabulary Key Concept: Scatter Plots Example 1:Real-World Example: Use a.

Lesson Menu Five-Minute Check (over Lesson 2–4) CCSS Then/Now New Vocabulary Key Concept: Scatter Plots Example 1:Real-World Example: Use a Scatter Plot.

Sections What is a “quadratic” function?

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.

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.

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.

Chapter 4. Correlation and Regression Correlation is a technique that measures the strength of the relationship between two continuous variables. For.

Scatter Plots & Lines of Best Fit To graph and interpret pts on a scatter plot To draw & write equations of best fit lines.

Unit 3 – Association: Contingency, Correlation, and Regression Lesson 3-2 Quantitative Associations.

Equations of Straight Line Graphs. Graphs parallel to the y -axis All graphs of the form x = c, where c is any number, will be parallel to the y -axis.

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.

3.4 Graphing Linear Equations in Standard Form

distance prediction observed y value predicted value zero

Axes Quadrants Ordered Pairs Correlations

2.5 Scatter Plots & Lines of Regression

Graphic display of data

Module 15-2 Objectives Determine a line of best fit for a set of linear data. Determine and interpret the correlation coefficient.

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

The Coordinate Plane By: Mr. Jay Mar Bolajo.

Journal Heidi asked 4 people their height and shoe size. Below are the results. 63 inches inches inches inches 8 She concluded that.

Warm-up 1) Write the equation of the line passing through (4,5)(3,2) in: Slope Intercept Form: Standard Form: Graph: Find intercepts.

The Coordinate Plane By: Christine Berg Edited By:VTHamilton.

Graphic display of data

The Coordinate Plane By: Christine Berg Edited By:VTHamilton.

Find the line of best fit.

Line of Best Fit.

Exploring Scatter Plots

Scatter Plots and Equations of Lines

Graphical Relationships

Warm-Up 4 minutes Graph each point in the same coordinate plane.

Can you use scatter plots and prediction equations?

Presentation transcript:

FHSChapter 11 Scatter Plots and Lines of Best Fit PS.1.AC.4: Apply probability to real-world situation such as weather prediction, game theory, fair division, insurance tables, and election theory. Students will be able to interpret and make scatter plots and draw lines of best fit.

FHSChapter 12 Scatter Plots Data can be presented in many ways. Graphs are useful because they can help identify characteristics of data. A scatter plot is a type of visual display used to explore the relationship between two sets of data, represented by unconnected points on a grid.

FHSChapter 13 Scatter Plots This scatter plot shows the relationship between hourly wages and years of experience Years of Experience Hourly Wage

FHSChapter 14 Correlations A pattern may emerge on the graph that shows a relationship or no relationship between the two sets of data. If the dots approach being on or close to a line, we say the relationship has a strong correlation. If the dots are scattered over the graph, we say the relationship has a weak or no correlation.

FHSChapter 15 Line of Best Fit We try to draw the line that the data is clustered around, and we call this the line of best fit. If the line slants upwards from left to right, we say it has a positive correlation. If the line slants downwards from left to right, we say it has a negative correlation. To see examples of this, click here.click here

FHSChapter 16 Using the Calculator Put the coordinates of the horizontal axis in List 1. Put the coordinates of the vertical axis in List 2. Go to 2 nd List (Stat) then over to CALC and down to LinReg(ax+b) and push ENTER twice. You should get y = ax + b, followed by the values for a and b. This is the equation of the line of best fit. Please change any decimals to fractions.